11. A simply supported beam is subjected to point load and uniformly distributed load as shown in Fig.(1). The maximum deflection at point C by using Macaulay Method in term of El of beam is given by; 11. A simply supportedbeam is subjected to pointload anduniformly distributedload as shown in Fig.(1). 40KN 15KN m Fig. (1) A D B 2mm 1m 7m The maximum deflection at point Cby using Macaulay Method in term of EI of beam is given by; a. -1260.61/EI b. -1460.61/EI c. -1660.61/EI d. None of the above

11. A simply supported beam is subjected to point load and uniformly distributed load as shown in Fig.(1). The maximum deflection at point C by using Macaulay Method in term of El of beam is given by; 11. A simply supportedbeam is subjected to pointload anduniformly distributedload as shown in Fig.(1). 40KN 15KN m Fig. (1) A D B 2mm 1m 7m The maximum deflection at point Cby using Macaulay Method in term of EI of beam is given by; a. -1260.61/EI b. -1460.61/EI c. -1660.61/EI d. None of the above

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.2.5P: The deflection curve for a cantilever beam AB (sec figure) is given by...

See similar textbooks

Related questions

Q: a.) Use moment-curvature relationship and double integration method to derive the maximum slope and…

Q: A beam of uniform rectangular section 200 mm wide and 300 mm deep is simply supported at its ends.…

A: The objective of the question is to find the slope at the supports and the maximum deflection of a…

Q: A cantilever beam shown below has a rectangular cross-section, 3/8 in. wide by 1 in. high. The…

A: Beam Details:Rectangular cross-sectionWidth (b) = 3/8 in.Height (h) = 1 in.Length (L) = 20…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Problem Statement: Consider an S203x34 beam under self-weight loading only with a length of 11.4 m.…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Find the deflection y(x) where:The beam is embedded at x = L and a free end at x = 0. The applied…

Q: Example 15.7 Design of a Compound Curve Figure 15.23 illustrates a compound curve that is to be set…

A: first of all drawing the figure we have given below

Q: The maximum deflection of a simply supported beam carrying a uniformly varying load, with starting…

A: To find: The location at which deflection will be maximum: x = ? at y = ymax

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: The beam is carrying UDL of intensity w. The reaction forces at A and B will be wL2. The double…

Q: Q4/ By using Double - Integration Method, find the deflection and rotation at point (C) of the beam…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

Q: Q2/ The simple supported beam ABC in Fig2. Carries a distributed load of maximum intensity wo over…

A: calculated the maximum deflection of the beam.

Q: For the loading shown, use the double-integration method to determine (a) the equation of the…

Q: Calculate the reaction force at support B Calculate the reaction force at support B when the support…

A: Given: A propped cantilever beam as shown in Fig w= 7kN/m P= 14kN flexural rigidity (EI)= 4 MN.m2…

Q: find the slope and deflection equations for the beam shown. Determine vertical deflection at point…

Q: 4. A given beam, of L-3m and El-6000kN.m², is subjected to a uniformly distributed load (w). The…

A: Given

Q: A beam with a varying square cross-sectional area is under a horizontally distributed axial load q..…

A: The deflection of the beam, denoted by , is governed by the following fourth-order differential…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: given data: load intensity (w)=9KN/m lenth(L)=5.5m elasticity(E)=220GPa=220*103MPamoment of…

Q: 1. Find the deflection y(x) where:The beam is embedded at x = L and a free end at x = 0. The applied…

Q: A simply supported beam is made of A-36 steel and is subjected to the loading shown below. Let P =…

A: The applied force is The moment of inertia of beam is The elasticity of beam is

Q: Compute the values of slope and deflection for the beam shown below at x =L by the double…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: given; lets take reaction force at A=RAw=15KN/mL=3.5mE=185GPaI=110*106mm4AB=L/2BC=L/2AC=L

Q: 8. The deflection of a simply supported beam is given by the BVP: y" - 10-7y = 10-8x(x – L) over…

A: Program Description: Purpose of problem is to show that the only root of y′(x)=0 in [0,L] is x=L2 .…

Q: Which of the following most nearly gives the value of P, in N, that will cause a zero deflection at…

Q: Using the Double Integration Method. for the given cross- section of the beam below, find the ff.…

Q: a) the slope of the beam at C (positive if counterclockwise and negative if clockwise). (b) the…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Given Wo=6kN/mL=5.5mE=195GPaI=140 ×106 mm4I=140×10-6 m4

Q: Problem 2 (30 points): The formula for the deflection of the beam shown is: y(x) = Wo (-x5 + 5Lx*-…

Q: The simply supported beam consists of a W14 x 34 structural steel wide-flange shape [E = 29,000 ksi;…

Q: I. Solve the following problem, complete with free body diagrams, clear solutions, and complete…

Q: The steel (E = 29,000 ksi) I-beam (I= 2700 in^4) shown below has a pin support at the left end and a…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

11. A simply supported beam is
subjected to point load and uniformly
distributed load as shown in Fig.(1).
The maximum deflection at point C by
using Macaulay Method in term of El of
beam is given by;
11. A simply supportedbeam is subjected to pointload anduniformly distributedload as
shown in Fig.(1).
40KN
15KN m
Fig. (1)
A
D
B
2mm
1m
7m
The maximum deflection at point Cby using Macaulay Method in term of EI of beam
is given by;
a. -1260.61/EI
b. -1460.61/EI
c. -1660.61/EI
d. None of the above

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

B X-SeT Problem Statement: Consider an S203x34 beam under self-weight loading only with a length of 11.4 m. Find the following, assuming the beam is composed of structural steel. (a) The deflection of the beam at B. (b) The slope of the beam at point B. (c) The factor of safety against yielding for the beam. (Use the sectional modulus for this question.) (d) The maximum length of the beam given a factor of safety of 2.02 against yielding. (e) The deflection of the beam at point B using the length calculated from part (d). Answers: (Denote upward deflections with positive values, and downward deflections with negative values. Denote positive slopes with positive values and negative slopes with negative values.) (а) ув - (b) OB = (c) FS = (d) anew = (е) ув,леш be sure to include units with your answers
The roof beam of a buidling is subjected to the loading shown in Fig. 1. If a maximum 3/8 inch deflection is permitted at the cantilever end (A) before the ceiling and roofing materials would be damage, calculate the required minimum moment of inerita in inches4 for the beam using theDouble Integration Method. Use ? = 29,000 ?/??2.
Use virtual unit load method
Please show the full working steps with explaination
How to determine point of maximum deflection where dy/dx = 0?
L by the double integeration method. E = 200 GPa , I = 20 X10ʻmm“, and L = 3.0 m._Extra points will be added if you also model it using RISA-2D software. Send me the model file, the deflected shape in a PDF file Compute the values of slope and deflection for the beam shown below at x = with the maximum deflection values, and a screenshot (image) for the deflection value at the pointL shown on the deflected shape. 350 KN/m 70 KN/m 400 KN.m
For the loaded beam shown below , Estimate the Reaction Values of supports
please translate the following problem descriptions into al diagrammatic representation, solve for/draw the shear force and bending moment diagrams and find the deflection and/or slope as indicated: 3. A 16 ft. long simply supported beam is loaded by a 1 k/ft uniform distributed load for the first 6 ft. and (2) point loads, 3 kips each, at 9 ft. and 12 ft. A Structural No. 1 timber (E = 1,600,000 psi) is specified with nominal dimensions of 6x12. Find the magnitude and location of the maximum deflection.
8. The deflection of a simply supported beam is given by the BVP: y" – 10-7y = 10-x(x-L) over 0 SXSL with y(0) = y(L) = 0 a. Determine the deflection of the beam using the shooting method (if you want to solve this by hand, use a large step, say h = 10. Otherwise code this and experiment numerically, for example investigate the effects of different step size. You may also add in Matlab "tic..toc" as a timer to calculate the time Matlab takes to solve your equation. You can explore how this time varies with different time steps, for example h D b. Determine the deflection of the beam using the finite difference method (same comments as in a.) 10; h = 1; h = 0.1)
All I want to know is how to get the deflection equation. Please explain in as much detail as possible! DON'T SOLVE THE PROBLEM, this picture was taken from the answer key; solving this problem does me no good. All I want is to know where the 17qL4/24EI is coming from
mention every single step of solution .....thanks
1. In figure (1), shows a uniform beam subjected to a linear increasing distributed load. The equation for the resulting elastic curve is: w y = 120EIL (-x5+2L?x3 - L*x) Using the numerical methods to determine the point of max. deflection (that is, the value of x where "Y 0. Then substitute dx this value in the given equation to find the value of maximum deflection. Using the following parameter values in your computations: L = 600cm; E50000 k N/cm2;1=30000cm* and w =2.5k N/cm. (a) r Ly 0) =0, v- 0) (b) Figure (1)