# Propped Cantilever Formula

Solution (a) Cantilever under External Load P (b) Cantilever with Reaction VB. To draw shear force diagram, first find value of shear force at point C, B and A. Fully plastic condition is defined as one at which adefined as one at which a. V = shear force, lbs. Plastic Bending Of Beams As the load on a particular beam is gradually increased, the greatest Stresses will occur at the extreme fibres of the "weakest" section (Note: In some Steels when the elastic limit is reached there is a marked reduction in Stress and in any calculations the lower Yield Stress is taken - See graph). 8537e-5 * 2700 * 9. For more Information, you can also watch the below video. The extra unknown reactions add complexity to the analysis of. ∆ = deflection or deformation, in or m. Calculate the bending moment due to the weight of the load. Each of these substituted single span beams, has the same length as that of the actual considered span, as described in Fig. plate cantilever beam discussed in this article (see Fig. Shear force and bending moment diagrams of propped cantilever What is the support reaction at prop for a propped cantilever beam If it is a cantilever, the formula would be PL/2 and for a. calculating maximum load and moment within a propped cantilever beam (diving board) cantilever, propped, and simply Calculating Shear Force and Bending Moment at the Support for Cantilever. The use of the force method to analyse a beam structure with a support settlement will be illustrated using the example structure shown in Figure 8. The beam is subject a uniformly distributed load and concentrate moment as shown. , and Young, W. a) a propped‐cantilever identical to the real structure (statically indeterminate to 1st degree). Cantilever wall h = height of wall Shear Walls 19. consider a propped cantilever beam (i) select RB as the redundant, then qL2 RA = qL - RB MA = CC - RBL 2 force-displacement relation qL4 BR L 3 ( B)1 = CC ( B)2 = CC 8EI 3EI compatibility equation B = ( B)1 - ( B)1 = 0 qL4 R BL 3 CC = CC 8EI 3EI 3qL 5qL qL2 RB = CC => RA = CC MA = CC 8 8 8. Pick the most general deflection formula for a particular beam and loading arrangement. 304 Deflections of beams -- &-O and v=O CL ThusA = B = 0. Single-Span Beam - Single-span beam analysis for simple, propped, fixed, & cantilever beams Continuous-Span Beam - Continuous-span beam analysis for 2 through 5 span beams Reference - Formulas and Methods used in the calculations Program Assumptions and Limitations: 1. 2010 Specific Beam Loading Case: Cantilever…. Shear Forces and Bending Moments Planar (2-D) Structures: All loads act in the same plane and all deflections occurs in the same plane (x-y plane) Associated with the shear forces and bending moments are normal stresses and shear stresses. BEAM DEFLECTION FORMULAE BEAM TYPE SLOPE AT FREE END DEFLECTION AT ANY SECTION IN TERMS OF x MAXIMUM DEFLECTION 1. Forces on a Propped Cantilever 2. Formula Propped Cantilever Beam the conjugate beam method learnaboutstructures. M = maximum bending moment, lbf. P = total concentrated load, lbs. A cantilever of length 6 m carries a point load of 48 KN at its centre. Propped Cantilever Beam with an Intermediate Load. In order to solve the problem, release the extra constraint and make the beam a determinate structure. Simply select the picture which most resembles the beam configuration and loading condition you are interested in for a detailed summary of all the structural properties. beam fixed at one end, free to deflect vertically but not rotate at other-uniformly distributed load. Area Moment of Inertia Equations & Calculators. consider a propped cantilever beam (i) select RB as the redundant, then qL2 RA = qL - RB MA = CC - RBL 2 force-displacement relation qL4 BR L 3 ( B)1 = CC ( B)2 = CC 8EI 3EI compatibility equation B = ( B)1 - ( B)1 = 0 qL4 R BL 3 CC = CC 8EI 3EI 3qL 5qL qL2 RB = CC => RA = CC MA = CC 8 8 8. You know that the end deflection must be 0 as it is propped. 3-1 Calculate the shear force V and bending moment M at a cross section just to the left of the 1600-lb load acting on the simple beam AB shown in the figure. ∆ = deflection or deformation, in or m. T312 Propped Cantilever Beam With An Intermediate Load. R = reaction load at bearing point, lbs. Determine the reaction at the rigid prop. Grades Of Sheet Piling Steel. Formula for beam shear, moment and deflection formula for a cantilever beam with an Intermediate load. 3-1 Simple beam 4 Shear Forces and Bending Moments 259 AB 800 lb 1600 lb 120 in. Fixed beams:. Students set up a beam on the supports and add weights to deflect the beams. Derive the equation of the deflection curve and then obtain formulas for the deflection δ B and angle of rotation θ B at the free end. Plastic Bending Of Beams As the load on a particular beam is gradually increased, the greatest Stresses will occur at the extreme fibres of the "weakest" section (Note: In some Steels when the elastic limit is reached there is a marked reduction in Stress and in any calculations the lower Yield Stress is taken - See graph). 1 Answer to A propped cantilever beam of length 2L with support at B is loaded by a uniformly distributed load with intensity q. 23) VL = - 8EI 13. simple beam-load increasing uniformly to one end. Cantilever Beam – Concentrated load P at any point 2 Pa 2 E I lEI 2 3for0 Px yax xa 6 EI 2 3for Pa yxaaxl 6 EI 2 3 Pa 6 la EI 3. This page provides a listing of beam shear, moment and deflection formula for simply supported, cantilever, propped cantilever and fixed beams with centered, uniform and intermediate loads. The stability number relates to kick out at the toe of the sheetpiling wall. 2 Statical indeterminacy of a ring (a) (b) (c) X X X u z u z u x u x u y u y y y x z x z RINGS The simplest approach is to insert constraints in a structure until it becomes a series of completely stiff rings. About Retaining Walls; Terminology 2. Cantilever : Point Load at the End (Fig. Cantilever wall h = height of wall Shear Walls 19. (2018 IBC/ACI 318-19) - Accurate & Saves you time. b) If P = 20 kN and L = 6 m, draw the SFD and BMD for the beam. AMERICAN WOOD COUNCIL w R V V 2 2 Shear M max Moment x 7-36 A ab c x R 1 R 2 V 1 V 2 Shear a + — R 1 w M max Moment wb 7-36 B Figure 1 Simple Beam-Uniformly Distributed Load. Cantilever Beam – Uniformly varying load: Maximum intensity o 3 o 24 l E I 2 32 23 o 10 10 5 120 x yllxlxx 4 o. vii 9 1 7 3 CONTENTS vii 40816_FM_pi-xvii 10/22/01 12:37 PM Page vii. Determine, using a finite difference approach, the values of the reaction at the prop and the central deflection. RETAINING WALL PROBLEMS P1. To draw shear force diagram, first find value of shear force at point C, B and A. 9 - A propped cantilever beam AB of length L and with Ch. Table of Contents Appendix Title Mass Solution A Cantilever Beam I End mass. 3 Static Deflection Approach The static deflection approach discussed for SDOF in Section 2. Introduction. Railway transportation share a healthy burden of transportation of a community or country, carrying large bulky luggage. Cantilever Beam Udl Formula Posted on January 10, 2020 by Sandra Built in beams materials ering reference overhanging beam overhang both supports with a udl shear force and bending moment diagram for cantilever beam bending moment equation for cantilever beam with udl at what point will there be a max bending moment in. Cantilever Beams. simple beam-load increasing uniformly to one end. Cantilevers can also be constructed with trusses or slabs. You know that the end deflection must be 0 as it is propped. Beam bending is analyzed with the Euler-Bernoulli beam equation. Introduction to finite element analysis. V = shear force, lbs. The safety factor against sliding (minimum required F. Solution 4. A cantilever beam is usually modeled like so: A good example of a cantilever beam is a balcony. Let P e = elastic load of the cantilever, i. The derivations and examples are given in the appendices per Table 2. Essential for every RC project. BEAM FORMULAS WITH SHEAR AND MOMENT DIAGRAMS. 5 m * ** 2 m 3 m Fig. beam diagrams and formulas by waterman 55 1. From Figure 1, it was determined that for Case 1-A with span ratio of 1. , and Young, W. Shear Forces and Bending Moments Planar (2-D) Structures: All loads act in the same plane and all deflections occurs in the same plane (x-y plane) Associated with the shear forces and bending moments are normal stresses and shear stresses. Beam A beam is a long slender member, a 2d element in structure having relatively longer span than the depth. Draw shear force and bending moment diagrams of the cantilever beam carrying point loads. Problem 725 | Propped beam with partially restrained wall and settling simple support Problem 725 If the support under the propped beam in Problem 724 settles an amount $\delta$, show that the propped reaction decreases by $3EI\delta / L^3$. Beams and Columns - Deflection and stress, moment of inertia, section modulus and technical information of beams and columns; Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more; Statics - Loads - force and torque, beams and columns ; Related Documents. 00249 in in Calc. Beams Fixed At One End And Supported The Other. 2 PROPPED CANTILEVERS. Using Roark the values of Kn are used to. Calculate bending moments, shear, slope and deflection of a propped cantilever at any point along its length when it is subject to a UDL (uniformly distributed load). Here EI is constant for the beam. (a) To avoid hydrostatic pressure on a retaining wall, a drainage system should be use( that consists of weep holes, perforated pipe, or any other adequate device. 23) VL = - 8EI 13. Calculation Reference Roark's Formulas for Stress and Strain. P -706 is loaded by decreasing triangular load varying from w o from the simple end to zero at the fixed end. across complete span wL3 24EI. Fixed-End Moment for Propped Cantilever: Consider the beam fixed at both supports. Cantilever beams can also be constructed with trusses or slabs. Basic Grade: ASTM A-328. across the complete span wL3 6EI - W __ [3L4 - 4L3x + x4] 24EI wL4 8EI ~ Simply supported beam with concentrated load W at the centre WLZ 16EI wx 48EI __ [3L2 - 4x23 WL3 48EI ~ Simply supported beam with u. Write the difference between static and kinematic indeterminacies. This page provides a listing of beam shear, moment and deflection formula for simply supported, cantilever, propped cantilever and fixed beams with centered, uniform and intermediate loads. This is a simply supported beam. A Propped Cantilever Beam Ab Of Length L Is Loaded Bartleby. And let P p = plastic. Beam is designed to carry the bending moment and the shear forces if any. b) A function describing the bending moment for the entire span 1. Related Topics. This page provides formula for beam shear, moment and deflection formula for a simply supported beam with an overhanging load. Problem 725 | Propped beam with partially restrained wall and settling simple support Problem 725 If the support under the propped beam in Problem 724 settles an amount $\delta$, show that the propped reaction decreases by $3EI\delta / L^3$. (c) Approximate dimensions of a cantilever retaining wall are shown in Figure 14. The safety factor against sliding (minimum required F. Solved derive the slope and deflection of cantilever beam solved in solving these problems you may use deflection formu beam slope and deflection table engineer4free the 1 source for what is the formula of a deflection cantilever beam point load at. THEORY: Finding beam deflections using the moment equation or the load-deflection equation can be tedious and lengthy. Bruner Research Assistant Harry M. Single-Span Beam - Single-span beam analysis for simple, propped, fixed, & cantilever beams Continuous-Span Beam - Continuous-span beam analysis for 2 through 5 span beams Reference - Formulas and Methods used in the calculations Program Assumptions and Limitations: 1. Displacement = -0. The stability of cantilever steel sheet pile walls will need to be considered in cohesive soils. Let P e = elastic load of the cantilever, i. 0 INTRODUCTION The elastic design method, also termed as allowable stress method (or Working stress method), is a conventional method of design based on the elastic properties of steel. Cantilever Sheet Pile Walls-Used for small retaining height (20 ft ≅6 m above dredge line) Permanent : sands, gravels Temporary : other soils-Stability of cantilever sheet pile wall : due to passive resistance developed below the lower soil surface Cantilever Sheet Pile Walls Failure mode Dredge line 0 0 0 Active Active Active Passive Passive. Deflection Using formula 2F we have - 0. Locate the plastic hinges at collapse. Due to the beam is symmetrical we can represent part of the beam as propped cantilever beam as it is presented below. Solved derive the slope and deflection of cantilever beam solved in solving these problems you may use deflection formu beam slope and deflection table engineer4free the 1 source for what is the formula of a deflection cantilever beam point load at. 1-Retaining Wall Cross Section. Beams Fixed At One End And Supported The Other. Worked example to accompany MBIE Guidance on the seismic design of retaining structures for residential sites in Greater Christchurch (Version 2) November 2014. Cantilever wall h = height of wall Shear Walls 19. Propped Cantilever: The structure is indeterminate to the first degree; hence has one unknown in the problem. BEAMANAL is a MS-Excel spreadsheet workbook for the analysis of single-span beams (simple, propped, fixed, or cantilever) and continuous beams of up to 5 spans. 5 m * 10 kg = 175 kg-m. In this case the beam is designed for the collapse condition of the end span. It is time consuming to do all the stability and reinforcement design using in house tools. com 770-517-5507 fax: 770-517-5508 Hollow Core Floor Slab Hollow Core Roof Slab Prestressed Floor Tee. Find the support reactions and draw the BM and SF diagrams. Then draw Bending moment and shear force diagram. CANTILEVER RETAINING WALL DESIGN by Robert F. Numerical Example of Propped Cantilever: In the above example of a propped cantilever you have seen how the method of consistent deformation can be used to solve a statically indeterminate beam problem. deflection formula, as in the case of the propped cantilever, then substituting the length of the cantilever into the general deflection equation should give the same equation as. 9 - A propped cantilever beam AB of length L and with Ch. For the following propped cantilever (statically indeterminate) beam, if R B is released as redundant, and the beam is solved using the method of Sup. GRDSLAB is a spreadsheet program written in MS-Excel for the purpose of analysis of concrete slabs on grade. Solution (a) Cantilever under External Load P (b) Cantilever with Reaction VB. Beam A beam is a long slender member, a 2d element in structure having relatively longer span than the depth. These consist of a summation of forces in the vertical direction and a summation of moments. 5 · Alex Tomanovich. Also draw shear-force and bending-moment diagrams, labeling all critical ordinates. M = maximum bending moment, lbf. Each of these substituted single span beams, has the same length as that of the actual considered span, as described in Fig. When deriving the flexure formula in Art. -14 A cantilever beam AB supporting a triangularly distributed load of maximum intensity q 0 is shown in the figure. Shear force will increase from left towards right. P -706 is loaded by decreasing triangular load varying from w o from the simple end to zero at the fixed end. A propped cantilever is 6. 5) Do not consider the passive resistance of the fill in front of the wall. It is time consuming to do all the stability and reinforcement design using in house tools. In order to solve the problem, release the extra constraint and make the beam a determinate structure. This equals the load's center of weight times its distance from the beam's support. The statical indeterminacy of a ring is known and hence. Review the full course description and key learning outcomes and create an account and enrol if you want a free statement of participation. The moment distribution method for beams may be summarized as follows: Use a distribution factor of zero for a fixed support and 1. E is 30,000 ksi and I is 550 in4. Left end simply sup- ported, right end fixed 6EI 24E1 61 24E1 61 Transverse shear — Bending moment Slope = e = + Deflection — —. Cantilever Beam - Concentrated load P at the free end 2 Pl 2 E I (N/m) 2 3 Px ylx 6 EI 24 3 max Pl 3 E I max 2. Derive the equation of the deflection curve and then obtain formulas for the deflection δ B and angle of rotation θ B at the free end. RajeshKN 29. δ = deflection or deformation, in. 6 from Chapter 9. R = reaction load at bearing point, lbs. Cantilever Beam Udl Formula Posted on January 10, 2020 by Sandra Built in beams materials ering reference overhanging beam overhang both supports with a udl shear force and bending moment diagram for cantilever beam bending moment equation for cantilever beam with udl at what point will there be a max bending moment in. 2 Example 8. Beam Deflection Tables. The method of consistent deformations is a special case of compatibility methods of solution. BEAMANAL Version:2. Beam mass is negligible Approximate B Cantilever Beam II Beam mass only Approximate C Cantilever Beam III Both beam mass and the. We will take different cases of beams and loading for plotting S. 5) Do not consider the passive resistance of the fill in front of the wall. The Euler-Bernoulli equation describes a relationship between beam deflection and applied external forces. Statics of Bending: Shear and Bending Moment Diagrams David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology. 2 Influence of the point of load application 18 2. Different equations for bending moment were used at. It can be assumed to have a constant flexural rigidity EI throughout. If E = 2 x 105 N/mm2, find the fixing moments. Beam Calculation Formula. consider a propped cantilever beam (i) select RB as the redundant, then qL2 RA = qL - RB MA = CC - RBL 2 force-displacement relation qL4 BR L 3 ( B)1 = CC ( B)2 = CC 8EI 3EI compatibility equation B = ( B)1 - ( B)1 = 0 qL4 R BL 3 CC = CC 8EI 3EI 3qL 5qL qL2 RB = CC => RA = CC MA = CC 8 8 8. The free body diagram of this structure in fig 7-1(b) shows that the given propped cantilever has 3 support reactions (A y, B y, M B) whereas there are only 2 equations of equilibrium (ΣF y = 0 and ΣM z = 0) available for this structure. It is time consuming to do all the stability and reinforcement design using in house tools. simple beam-uniformly distributed load 2. 16 Design of a cantilever retaining wall (BS 8 110) The cantilever retaining wall shown below is backÞlled with granular material having a unit weight, , of 19 kNm 3 and an internal angle of friction, , of 30. Also draw shear-force and bending-moment diagrams, labeling all critical ordinates. A bending moment diagram is the graphical representation of the variation of he bending moment along the length of the beam and is abbreviated as B. Area Moment of Inertia Equations & Calculators. The safety factor against sliding (minimum required F. Left end free, right end fixed (cantilever) cnd 2c. Related Topics. (2018 IBC/ACI 318-19) - Accurate & Saves you time. Cantilever retaining wall sheet excel web share 2016-10-18T23:43:00-07:00 5. You can superimpose two solutions, one for the load, one for the propping force - use Figure 14 for the load (which will be an expression with P in it), Figure 13 for the prop (upside down of course - this will be an expression with R1 in it). This method of design limits the structural usefulness of the material upto a certain allowable. Let first draw shear force diagram. The follow web pages contain engineering design calculators will determine the amount of deflection a beam of know cross section geometry will deflect under the specified load and distribution. Determine the fixed end moments for all members that have external loads applied between the end nodes. Example of Propped Cantilever. Using Page 5/24. Cantilever beams can also be constructed with trusses or slabs. Suppose P is the force on the support at D. Cantilever wall h = height of wall Shear Walls 19. Take as an example the situation as per enclosed diagram. Beam Formulas With Shear And Mom. Examples of propped cantilever beams I'm currently studying towards a BEng civil engineering degree and as part of one of my modules I need to calculate the reactions and produce a bending moment diagram for a propped cantilever beam with a roller support. T1 T 2 T3 T4 C2 C1 8 in c 52 in 92 in 140 in 188 in Shear Walls 20 Example Solve for stresses, forces and moment in terms of c, depth to neutral axis. b) a simplified structure with moment constraint at A released. 1 O(i) carries a uniformly distributed load w and is supported on a rigid knife edge at the end D. Such beams are also called as restrained beams, as an end is restrained from rotation. SHEAR FORCE AND BENDING MOMENT Beam: It is a structural member which is subjected to transverse load. Draw shear force and bending moment diagrams of the cantilever beam carrying point loads. the behaviour of a propped retaining wall: results of a numerical experiment The design of propped retaining walls is currently based on approximate limit equilibrium calculations. The calculator is fully customisable to suit most beams, frames and trusses; which is a feature unavailable on most other. Shear force at point C = - 100 kg. Here is a listing of design capabilities contained in this Cantilevered Retaining Wall module: • Cantilevered st em wall can have up to five different stem sections, of either masonry or concrete, each with a different thickness and/or reinforcing size and spacing. 1 Influence of the cross-section 18 2. Beam B, Propped Cantilever : 2 supports (1 fixed and 1 roller), 4 reactions; As the number of reactions > number of equations of equilibrium, we have a statically indeterminate beam. 3x10 5000 x 4 2EI FL dx dy-6 2 ii. [M/J-15] Static Indeterminacy:-. Propped cantilever beam is a beam which is supported at its free end. Coyle Research Engineer and Richard E. You know that the end deflection must be 0 as it is propped. The use of the force method to analyse a beam structure with a support settlement will be illustrated using the example structure shown in Figure 8. reactions for propped cantilever Lion06 (Structural) 2 Dec 08 14:05 without getting into Castigliano's method (my favorite) or some other indeterminate analysis, this is what I would do (if I had to do it by hand). T312 Propped Cantilever Beam With An Intermediate Load. Determine, using a finite difference approach, the values of the reaction at the prop and the central deflection. The three part formula shown next (the bending formula) expresses this and we need to study this closely. A factor of safety is used to ensure adequate stability and to restrict soil and wall movements to acceptable levels. at the fixed end can be expressed as. cated readers and users of Roark's Formulas for Stress & Strain. GRDSLAB is a spreadsheet program written in MS-Excel for the purpose of analysis of concrete slabs on grade. d: ft ft ft lb sur a sur ft ft lb fill o o a ft fill a P k q h psf P pcf k P k h h out of page (1 ) 0. The Method Of Deflection Coefficients. Using Page 5/24. Tied-back retaining walls were used originally as a substitute for braced retaining walls in deep excavations. Column Formulas 99 General Considerations / 100 Short Columns / 102 Eccentric Loads on Columns / 102 Column Base Plate Design / 111 American Institute of Steel Construction Allowable-Stress. Considering the reaction at the prop as the redundant and removing it from the system provides the primary structure. 2 LECTURE 18. Calculation Reference Roark's Formulas for Stress and Strain. It can be assumed to have a constant flexural rigidity EI throughout. A simple example of harmonic motion is a mass connected to a flexible cantilevered beam. This can be used to observe the calculated deflection of a simply supported beam or of a cantilever beam. CLASSIFICATION OF BEAM The beam can be attached in any structure through various ways and hence their name has given from that e. , the possible compatibility equation is • δ A = 0 • δ B = 0. beam diagrams and formulas by waterman 55 1. Design Procedure Overview. Beam B, Propped Cantilever : 2 supports (1 fixed and 1 roller), 4 reactions; As the number of reactions > number of equations of equilibrium, we have a statically indeterminate beam. E is 30,000 ksi and I is 550 in4. Propped cantilever beams: A cantilever beam for which one end is fixed and other end is provided support, in order to resist the deflection of the beam, is called a propped cantilever bema. Above sketch represent continuous beam with equal spans. 09 It is a beam whose one end is fixed and the other end is free. What Is Propped Cantilever Beam Quora. 3-5 A cantilever beam with a uniform load (see figure) has a height h equal to 1/8 of the length L. Whats people lookup in this blog: Cantilever Beam Deflection Formula Table. Use the second-order differential equation of the deflection curve. Plastic Analysis ofPlastic Analysis of Continuous Beams1 Increasing the applied load until yielding occurs at some locations will result in elasticwill result in elastic-plastic deforplastic defor-mations that will eventually reach a fully plasticfully plastic condition. Beams -SFD and BMD Shear and Moment Relationships Expressing V in terms of w by integrating OR V 0 is the shear force at x 0 and V is the shear force at x Expressing M in terms of V by integrating OR M 0 is the BM at x 0 and M is the BM at x V = V 0 + (the negative of the area under ³ ³ the loading curve from x 0 to x) x x V V dV wdx 0 0 dx dV w dx dM V ³ ³ x x M M dM x 0 0 M = M 0. Fixed beams:. Length, L = 1 metre (m). The deflection produced under a unit load at any point i is δ i. 8m/s2 =4900 N •Now Deflection known (δ=0) •Find necessary Tension Force F Guy wire •Hence partial derivative of total elastic energy with respect to F must be zero •Omit zero derivatives - all energy terms above a. In this case the beam is designed for the collapse condition of the end span. Single-Span & Continuous-Span Beam Analysis. Beams Fixed At One End And Supported The Other. 1 ANALYSIS OF BEAMS 2. (c) Approximate dimensions of a cantilever retaining wall are shown in Figure 14. For instance a retaining wall can be used to retain fill along a slope or it can be used to. Calculate the ratio /L of the deflection at the free end to the length, assuming that the beam carries the maximum allowable load. 5) Slide No. V = maximum shear force, lbf or kN. b) A function describing the bending moment for the entire span 1. 1) Continuous/Complex Timber Beam Design (AS 1720. 2 LECTURE 18. Table of Contents Appendix Title Mass Solution A Cantilever Beam I End mass. This is so, because shear force is always maximum on supports. Coyle Research Engineer and Richard E. b) If P = 20 kN and L = 6 m, draw the SFD and BMD for the beam. Find the support reactions and sketch the shear and moment diagrams Determine the midspan value of EI δ for the beam shown in Fig. Propped Cantilever Beam We can say propped cantilever beam is t. 1) Continuous/Complex Timber Beam Design (AS 1720. A propped cantilever is a statically indeterminate beam. For solving such examples we must have a knowledge of slope & deflection of the beams. This kit includes different beams and fixing blocks. deflection formula, as in the case of the propped cantilever, then substituting the length of the cantilever into the general deflection equation should give the same equation as. Find the reaction at B Since this is an indeterminate structure, we first need to solve for one of the unknown reactions. Cantilever Beams are members that are supported from a single point only; typically with a Fixed Support. A Propped Cantilever Beam Ab Of Length L Is Loaded Bartleby. The statically indeterminate propped cantilever beam is supported by a roller at A and is fixed at B. 1) Timber Custom Section Beam Design (AS 1720. b) a simplified structure with moment constraint at A released. 236-2F Determination of Earth Pressures for Use in Cantilever Retaining Wall Design Research Study Number 2-5-78-236 Sponsored by. Find the support reactions and draw the BM and SF diagrams. Provided that d2/x ≤ 0. CLASSIFICATION OF BEAM The beam can be attached in any structure through various ways and hence their name has given from that e. A factor of safety is used to ensure adequate stability and to restrict soil and wall movements to acceptable levels. consider a propped cantilever beam (i) select RB as the redundant, then qL2 RA = qL - RB MA = CC - RBL 2 force-displacement relation qL4 BR L 3 ( B)1 = CC ( B)2 = CC 8EI 3EI compatibility equation B = ( B)1 - ( B)1 = 0 qL4 R BL 3 CC = CC 8EI 3EI 3qL 5qL qL2 RB = CC => RA = CC MA = CC 8 8 8. 45 is propped at B and carries a central load W. , the possible compatibility equation is • δ A = 0 • δ B = 0. 4 is subiected to a point load P 25 kN and a uniformly distributed load w 15 kNm. b) a simplified structure with moment constraint at A released. T C C R D U W U W U W U W F F S C S B L S C C W C G S B B C C 40816 HICKS Mcghp FM Second Pass bcj 7/19/01 p. This method of design limits the structural usefulness of the material upto a certain allowable. Only one fixed support is required, support on the opposite side is not required. Young Richard G. Pick the most general deflection formula for a particular beam and loading arrangement. Find the support reactions and draw the BM and SF diagrams. deflection curve of beams and finding deflection and slope at specific points along the axis of the beam 9. Determine the support reactions and draw the bending moment diagram for the propped cantilever shown in Figure 4. Cantilever beams under different loading conditions, such as end load, end moment, intermediate load, uniformly distributed load, triangular load. The beam has four unknown reactions, thus is indeterminate to the first degree. Determine the required plastic moment of resistance Mp. For the propped cantilever, the degree of indeterminacy is one, as the beam has four reactions (three at the fixed end and one at the prop). While bending moment is the algebraic sum of moments about the centroidal axis of any selected section of all the loads acting up to the section. Cantilever Sheet Pile Walls-Used for small retaining height (20 ft ≅6 m above dredge line) Permanent : sands, gravels Temporary : other soils-Stability of cantilever sheet pile wall : due to passive resistance developed below the lower soil surface Cantilever Sheet Pile Walls Failure mode Dredge line 0 0 0 Active Active Active Passive Passive. w = load per unit length, lbf/in or kN/m. The Euler-Bernoulli equation describes a relationship between beam deflection and applied external forces. Suppose P is the force on the support at D. Related Topics. From this equation, any deflection of interest can be found. Beam Calculation Formula. Determine the support reactions and draw the bending moment diagram for the propped cantilever shown in Figure 4. A Propped Cantilever Beam Of Length 2l With Support. A simple example of harmonic motion is a mass connected to a flexible cantilevered beam. 16 Design of a cantilever retaining wall (BS 8 110) The cantilever retaining wall shown below is backÞlled with granular material having a unit weight, , of 19 kNm 3 and an internal angle of friction, , of 30. Normally, the. simple beam-load increasing uniformly to one end. The moment distribution method for beams may be summarized as follows: Use a distribution factor of zero for a fixed support and 1. Shear Forces and Bending Moments Planar (2-D) Structures: All loads act in the same plane and all deflections occurs in the same plane (x-y plane) Associated with the shear forces and bending moments are normal stresses and shear stresses. other end free (cantilever) 3 3 L EI 4. The use of structural and loading symmetry to show that a beam with one clamped support is equivalent to another beam with only simple supports: (a) a tip loaded cantilever beam is equivalent to a simply supported beam; (b) a propped cantilever beam is equivalent to a two-span simply supported beam; (c) load versus support rotation response of. Such beams are also called as restrained beams, as an end is restrained from rotation. This equals the load's center of weight times its distance from the beam's support. Bruner Research Assistant Harry M. For the propped cantilever, the degree of indeterminacy is one, as the beam has four reactions (three at the fixed end and one at the prop). 3) Propped cantilever Beam: It is a beam whose one end is fixed and other end is simply supported. FEM studies on propped and cantilever walls by Potts & Fourie (1984, 1986) and Fourie & Potts (1989) pointed out the enormous importance of the mode of deformation and displacement restraint on the earth pressure distribution and the resultant wall bending moments. Assuming that the allowable bearing pressure of the soil is 120 kNm 2, the. Download structural analysis software BEAMANAL 2. 67 ) (1 ) 4310 2 1 0. Numerical Example of Propped Cantilever: In the above example of a propped cantilever you have seen how the method of consistent deformation can be used to solve a statically indeterminate beam problem. 23) VL = - 8EI 13. 31(400 )(16. Single-Span Beam - Single-span beam analysis for simple, propped, fixed, & cantilever beams Continuous-Span Beam - Continuous-span beam analysis for 2 through 5 span beams Reference - Formulas and Methods used in the calculations Program Assumptions and Limitations: 1. Table of Contents Appendix Title Mass Solution A Cantilever Beam I End mass. 2, we obtained the moment-curvature relationship (5. beam fixed at one end, free to deflect vertically but not rotate at other-uniformly distributed load. Solution: End A is fixed hence A =0 End B is Hinged hence B ≠0 Assume both ends are fixed and therefore fixed end moments are. cated readers and users of Roark's Formulas for Stress & Strain. the things that affect it. Beam A beam is a long slender member, a 2d element in structure having relatively longer span than the depth. as shown in Figure. 3 Influence of lateral restraints 19 2. 67 )(1 ) 2070 (0. BEAMANAL is a MS-Excel spreadsheet workbook for the analysis of single-span beams (simple, propped, fixed, or cantilever) and continuous beams of up to. This page provides formula for beam shear, moment and deflection formula for a simply supported beam with an overhanging load. RajeshKN 29. Beams -SFD and BMD Shear and Moment Relationships Expressing V in terms of w by integrating OR V 0 is the shear force at x 0 and V is the shear force at x Expressing M in terms of V by integrating OR M 0 is the BM at x 0 and M is the BM at x V = V 0 + (the negative of the area under ³ ³ the loading curve from x 0 to x) x x V V dV wdx 0 0 dx dV w dx dM V ³ ³ x x M M dM x 0 0 M = M 0. Propped Cantilever: The structure is indeterminate to the first degree; hence has one unknown in the problem. 87 f y A st [d-f y A st /(f ck b)]. A simple example of harmonic motion is a mass connected to a flexible cantilevered beam. M = maximum bending moment, lbf. Beam is designed to carry the bending moment and the shear forces if any. 0 m long and supports a collapse load of 24 kN as shown in Figure 8. CANTILEVER RETAINING WALL DESIGN by Robert F. A fixed beam AB of length 3 m is having moment of inertia 1 = 3 x 106 mm4 the support B sinks down by 3 mm. This page provides a listing of beam shear, moment and deflection formula for simply supported, cantilever, propped cantilever and fixed beams with centered, uniform and intermediate loads. Formula Used: Slope at free end = Pa 2 / 2EI Deflection at any section = Px 2 (3a-x) / 6EI(for x less than a) Deflection at any section = Pa 2 (3x-a) / 6EI(for a less than x) Where, P is the externally applied load, E is the Elastic Modulus, I is the Area moment of Inertia, Lis the Length of the beam and x is the position of the load a is the distance of load from one end of the support. The beam is a steel wideflange section with E 628 10 psi and an allowable bending stress of 17,500 psi in both tension and compression. other end free (cantilever) 3 3 L EI 4. 236-2F Determination of Earth Pressures for Use in Cantilever Retaining Wall Design Research Study Number 2-5-78-236 Sponsored by. reactions for propped cantilever Lion06 (Structural) 2 Dec 08 14:05 without getting into Castigliano's method (my favorite) or some other indeterminate analysis, this is what I would do (if I had to do it by hand). beam fixed at one end, free to deflect vertically but not rotate at other-uniformly distributed load. Propped cantilever beam is a beam which is supported at its free end. Numerical Example of Propped Cantilever: In the above example of a propped cantilever you have seen how the method of consistent deformation can be used to solve a statically indeterminate beam problem. Derive the compatibility relationship. Column Formulas 99 General Considerations / 100 Short Columns / 102 Eccentric Loads on Columns / 102 Column Base Plate Design / 111 American Institute of Steel Construction Allowable-Stress. Thus, the propped cantilever has one reaction more than the three equations of equilibrium. Analysis of a Continuous beam using double-integration method Continuous Beam. For more Information, you can also watch the below video. Left end free, right end fixed (cantilever) cnd 2c. Determine the required plastic moment of resistance Mp. A propped cantilever beam is a beam which is fixed at one end ( no translation or rotation) and simply supported ( no translation) at the other end. A propped Cantilever beam is a little modification of the cantilever beam, if the free end of the cantilever beam is place on a roller support than the resultant beam will be propped cantilever beam as shown ;-Propped Cantilever Beam. 2 Statically Indeterminate Beams ENES 220 ©Assakkaf Introduction - In all of the problems discussed so far, it was possible to determine the forces and. Caption: Figure 22: Deformation shape and plastic hinge locations of propped cantilever column W150 x 24 with bending about the minor y-y axis. 0 INTRODUCTION The elastic design method, also termed as allowable stress method (or Working stress method), is a conventional method of design based on the elastic properties of steel. Beam mass is negligible Approximate B Cantilever Beam II Beam mass only Approximate C Cantilever Beam III Both beam mass and the. 2 Differential Equations of the Deflection Curve consider a cantilever beam with a concentrated load acting upward at the free end the deflection v is the displacement in the y direction the angle of rotation of the axis. Being able to add section shapes and materials, this makes it useful as a wood beam calculator or as a steel beam calculator. Slope Using formula 2E we have 750 x 10 6 (no units) 2 x 53. The extra unknown reactions add complexity to the analysis of. 67 )(1 ) 2070 (0. Beam A beam is a long slender member, a 2d element in structure having relatively longer span than the depth. Example of Propped Cantilever. BEAM DEFLECTION FORMULAE BEAM TYPE SLOPE AT FREE END DEFLECTION AT ANY SECTION IN TERMS OF x MAXIMUM DEFLECTION 1. For solving such examples we must have a knowledge of slope & deflection of the beams. Basics of Retaining Wall Design 10 Editionth A Design Guide for Earth Retaining Structures Contents at a glance: 1. the behaviour of a propped retaining wall: results of a numerical experiment The design of propped retaining walls is currently based on approximate limit equilibrium calculations. 3) Cantilever beam: Fig. 1 Elastic behavior in tension, bending, buckling, and vibration. 5 m * ** 2 m 3 m Fig. Answer to: Draw the shear force (V) and bending moment (M) diagrams for the beams shown below By signing up, you'll get thousands of step-by-step. Solution (a) Cantilever under External Load P (b) Cantilever with Reaction VB. The sheetpiling will fail if this height is exceeded. pected to be higher, i. Add the bending moments induced by. M = maximum bending moment, lbf. This is a simply supported beam. E = modulus of elasticity, psi or MPa. These loads might be resulted from beam reactions, bridge, or lodger and applied to the stem directly. SK 2/1 Simply supported beam. 31)(100 )(16. Examples of propped cantilever beams I'm currently studying towards a BEng civil engineering degree and as part of one of my modules I need to calculate the reactions and produce a bending moment diagram for a propped cantilever beam with a roller support. Calculate degree of indeterminacy of propped cantilever beam. 8) At section x from the end A, F x = - W 1 and is constant for any. You will probably find statically indeterminate beams everywhere in the civil engineering structures. pected to be higher, i. Find the support reactions and sketch the shear and moment diagrams. (b) Propped cantilever W150 x 24 with bending about the major x-x axis. A cantilever is a rigid structural element, such as a beam or a plate, anchored at one end to a (usually vertical) support from which it protrudes; this connection could also be perpendicular to a flat, vertical surface such as a wall. Basic Grade: ASTM A-328. Considering the reaction at the prop as the redundant and removing it from the system provides the primary structure. b) If P = 20 kN and L = 6 m, draw the SFD and BMD for the beam. w = load per unit length including beam weight (Newtons/metre) = A*rho*g = 7. Then draw Bending moment and shear force diagram. 1 Objectives In this laboratory session we will review elementary concepts concerning the isotropic. Aluminum I-Beams - Dimensions and static properties of aluminum I-beams. R A = reaction force in A (N, lb) q = uniform distributed load (N/m, N/mm, lb/in) L = length of cantilever beam (m, mm, in) Maximum Moment. 1-Retaining Wall Cross Section. -14 A cantilever beam AB supporting a triangularly distributed load of maximum intensity q 0 is shown in the figure. , Formulas for Stress and Strain, 5th Edition, Page 109, Problem 23. Tied-back retaining walls were used originally as a substitute for braced retaining walls in deep excavations. T C C R D U W U W U W U W F F S C S B L S C C W C G S B B C C 40816 HICKS Mcghp FM Second Pass bcj 7/19/01 p. 236-2F Determination of Earth Pressures for Use in Cantilever Retaining Wall Design Research Study Number 2-5-78-236 Sponsored by. Left end simply sup- ported, right end fixed 6EI 24E1 61 24E1 61 Transverse shear — Bending moment Slope = e = + Deflection — —. Beams Fixed At One End And Supported The Other. Shear force and bending moment diagrams of propped cantilever What is the support reaction at prop for a propped cantilever beam If it is a cantilever, the formula would be PL/2 and for a. You can find comprehensive tables in references such as Gere, Lindeburg, and Shigley. Statics of Bending: Shear and Bending Moment Diagrams David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology. This page provides a listing of beam shear, moment and deflection formula for simply supported, cantilever, propped cantilever and fixed beams with centered, uniform and intermediate loads. The formulas given in Figure 2 can be used to calculate the maximum moment and shear on a pilaster after w p and the support conditions for the pilaster have been determined. Cantilever Sheet Pile Walls-Used for small retaining height (20 ft ≅6 m above dredge line) Permanent : sands, gravels Temporary : other soils-Stability of cantilever sheet pile wall : due to passive resistance developed below the lower soil surface Cantilever Sheet Pile Walls Failure mode Dredge line 0 0 0 Active Active Active Passive Passive. The fixing blocks work as clamps or knife-edge supports. Column Formulas 99 General Considerations / 100 Short Columns / 102 Eccentric Loads on Columns / 102 Column Base Plate Design / 111 American Institute of Steel Construction Allowable-Stress. Calculate the ground reactions based on the superposition method and Newton's Laws. ∆ = deflection or deformation, in or m. 87 f y A st [d-f y A st /(f ck b)]. Students set up a beam on the supports and add weights to deflect the beams. Sep 21, 2017 - Cantilever beam with support (generally roller) at free end is known as 'Propped Cantilever'. Given or Obtained from the Field Investigation:. Plastic Bending Of Beams As the load on a particular beam is gradually increased, the greatest Stresses will occur at the extreme fibres of the "weakest" section (Note: In some Steels when the elastic limit is reached there is a marked reduction in Stress and in any calculations the lower Yield Stress is taken - See graph). A Propped Cantilever Beam Of Length 2l With Support. 2 Influence of the point of load application 18 2. For instance a retaining wall can be used to retain fill along a slope or it can be used to. 6 from Chapter 9. V = shear force, lbs. If a beam has two reaction loads supplied by the supports, as in the case of a cantilever beam or a beam simply supported at two points, the reaction loads may be found by the equilibrium equations and the beam is statically determinate. Railway engineering is a significant branch of transportation engineering, Railway transportation is an on-land transportation system with air ways and sea ways as other parallel off-land transportation means. Determine the fixed end moments for all members that have external loads applied between the end nodes. Cantilever Beam - Concentrated load. Considering the reaction at the prop as the redundant and removing it from the system provides the primary structure. 2 is applicable for beams with concentrated mass also. This program will calculate the beam end vertical reactions and moment reactions (if applicable), the maximum positive moment and negative moment (if applicable), and the maximum negative deflection and. Consider a tip loaded cantilever. Let first draw shear force diagram. Propped cantilever is analysed by moment area method. Uniformly Distributed Load. The safety factor against sliding (minimum required F. w = load per unit length, lbf/in or kN/m. Shear force will increase from left towards right. the load that will make the extreme fibres of the beam cross section to yield at the support. Coyle Research Engineer and Richard E. 236-2F Determination of Earth Pressures for Use in Cantilever Retaining Wall Design Research Study Number 2-5-78-236 Sponsored by. 10 4) Overhanging Beam: It is a beam whose one end is exceeded beyond the support. A propped cantilever is 6. 3380 Trickum Rd Bldg 500, Suite 100 Woodstock, GA 30188 www. 1 Global buckling and buckling modes of loaded members 14 2. 0 INTRODUCTION The elastic design method, also termed as allowable stress method (or Working stress method), is a conventional method of design based on the elastic properties of steel. 2 Statically Indeterminate Beams ENES 220 ©Assakkaf Introduction - In all of the problems discussed so far, it was possible to determine the forces and. The fixing blocks work as clamps or knife-edge supports. consider a propped cantilever beam (i) select RB as the redundant, then qL2 RA = qL - RB MA = CC - RBL 2 force-displacement relation qL4 BR L 3 ( B)1 = CC ( B)2 = CC 8EI 3EI compatibility equation B = ( B)1 - ( B)1 = 0 qL4 R BL 3 CC = CC 8EI 3EI 3qL 5qL qL2 RB = CC => RA = CC MA = CC 8 8 8. Shear force: it is the unbalanced force on either side of a section parallel to cross section. GRDSLAB is a spreadsheet program written in MS-Excel for the purpose of analysis of concrete slabs on grade. For solving such examples we must have a knowledge of slope & deflection of the beams. 236-2F Determination of Earth Pressures for Use in Cantilever Retaining Wall Design Research Study Number 2-5-78-236 Sponsored by. 23) VL = - 8EI 13. The use of the force method to analyse a beam structure with a support settlement will be illustrated using the example structure shown in Figure 8. Propped Cantilever: The structure is indeterminate to the first degree; hence has one unknown in the problem. 2010 Specific Beam Loading Case: Cantilever…. Beams and Columns - Deflection and stress, moment of inertia, section modulus and technical information of beams and columns; Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more; Statics - Loads - force and torque, beams and columns ; Related Documents. Beam is designed to carry the bending moment and the shear forces if any. Cantilever Beam - Concentrated load. You know that the end deflection must be 0 as it is propped. Find the support reactions and draw the BM and SF diagrams. 5 Behaviour of real beams 23. Propped cantilever beams: A cantilever beam for which one end is fixed and other end is provided support, in order to resist the deflection of the beam, is called a propped cantilever bema. And let P p = plastic. BEAM DEFLECTION FORMULAE BEAM TYPE SLOPE AT FREE END DEFLECTION AT ANY SECTION IN TERMS OF x MAXIMUM DEFLECTION 1. M I = σ y = E R II. Maximum Reaction. In order to solve the problem, release the extra constraint and make the beam a determinate structure. A cantilever beam is a beam which is fixed at. the load that will make the extreme fibres of the beam cross section to yield at the support. Cantilever Retaining Walls / 208 Wall Footings / 211 Chapter 6. Cantilever beams under different loading conditions, such as end load, end moment, intermediate load, uniformly distributed load, triangular load. Beam Design Formulas Simply select the picture which most resembles the beam configuration and loading condition you are interested in for a detailed summary of all the structural properties. The stem is a vertical cantilever beam, acted on by the horizontal earth pressure. The method of consistent deformations is a special case of compatibility methods of solution. RP 1 is the sum of moments of propped cantilever loaded with a distributed load and propp ed cantilever loaded with a po int load at mid-point, thus. Sep 21, 2017 - Cantilever beam with support (generally roller) at free end is known as 'Propped Cantilever'. 125 Retaining walls Example 3. Find the support reactions and sketch the shear and moment diagrams Determine the midspan value of EI δ for the beam shown in Fig. While bending moment is the algebraic sum of moments about the centroidal axis of any selected section of all the loads acting up to the section. A Propped Cantilever Beam Of Length 2l With Support. Add the bending moments induced by. Budynas x PrefacetotheSeventhEdition. calculating maximum load and moment within a propped cantilever beam (diving board) cantilever, propped, and simply Calculating Shear Force and Bending Moment at the Support for Cantilever. Formula for beam shear, moment and deflection formula for a cantilever beam with an Intermediate load. Fixed-End Moment for Propped Cantilever: Consider the beam fixed at both supports. These videos are prepared by Rajan. For the continuous beam shown in Fig. Superposition of the forces and moments from the propped-cantilever and cantilever structural analogs provides the information needed to design the post and post foundation. Shear force: it is the unbalanced force on either side of a section parallel to cross section. For example, if 10 kg rectangular flower bed sits on a beam at between 15 and 20 m from the support, its induced bending moment would be: 17. Propped Cantilever Beam Deflection Formula - New Images Beam Determine the collapse load factor α for the propped cantilever beam ABC subjected to UDL of 10α kN/m along BC shown in Figure P5. Example Solve for stresses, forces and moment in terms of c, depth to neutral axis. This page provides formula for beam shear, moment and deflection formula for a propped cantilever beam with â€¦. Itis an honor and quite gratifying to correspond with the many individuals who call attention to errors and=or convey useful and practical suggestions to incorporate in future editions. Calculate the ground reactions based on the superposition method and Newton's Laws. 1 Objectives In this laboratory session we will review elementary concepts concerning the isotropic. Design of a tied-back retaining wall to resist earthquake loading. Shear force on cantilever beam is the sum of vertical forces acting on a particular section of a beam. simple beam-uniformly distributed load 2. The formulas given in Figure 2 can be used to calculate the maximum moment and shear on a pilaster after w p and the support conditions for the pilaster have been determined. 87 f y A st [d-f y A st /(f ck b)]. Cantilever with concentrated load Wat end WL2 2EI W 6E1 - ~2~3 - 3 ~2~ + x3~ WL3 3EI Cantilever with u. Problem 725 | Propped beam with partially restrained wall and settling simple support Problem 725 If the support under the propped beam in Problem 724 settles an amount $\delta$, show that the propped reaction decreases by $3EI\delta / L^3$. The moment MB must be cancelled out by applying an equal and opposite moment at B which in turn produces a carry-over moment equal to-(0. If the location of the redundant support in question requires the use of a max. Bruner Research Assistant Harry M. Note that the free-free and fixed-fixed have the same formula. Fixed-End Moment for Propped Cantilever: Consider the beam fixed at both supports. Left end free, right end fixed (cantilever) cnd 2c. Calculate bending moments, shear, slope and deflection of a propped cantilever at any point along its length when it is subject to a UDL (uniformly distributed load). For the continuous beam shown in Fig. Example of Propped Cantilever. Beam Formulas With Shear And Mom. Displacement = -0. E is 30,000 ksi and I is 550 in4. Beam Beam Types Structure. Forces on a Propped Cantilever 2. Cantilever beam is the beam having one end fixed and the other end is free. BEAMANAL Version:2. Fully plastic condition is defined as one at which adefined as one at which a. One of the most powerful functions is using it as a beam deflection calculator (or beam displacement calculator). Left end simply sup- ported, right end fixed 6EI 24E1 61 24E1 61 Transverse shear — Bending moment Slope = e = + Deflection — —. Cantilever Retaining Walls / 208 Wall Footings / 211 Chapter 6. This is a simply supported beam. 2 is applicable for beams with concentrated mass also. 1 Propped Cantilever - Redundant vertical reaction released. Beams and Columns - Deflection and stress, moment of inertia, section modulus and technical information of beams and columns; Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more; Statics - Loads - force and torque, beams and columns ; Related Documents. 00111 in rad CIVL 7/8117 Chapter 4 - Development of Beam Equations - Part 2 8/34. across the complete span wL3 6EI - W __ [3L4 - 4L3x + x4] 24EI wL4 8EI ~ Simply supported beam with concentrated load W at the centre WLZ 16EI wx 48EI __ [3L2 - 4x23 WL3 48EI ~ Simply supported beam with u. For the propped cantilever, the degree of indeterminacy is one, as the beam has four reactions (three at the fixed end and one at the prop).
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