STRUCTURAL ANALYSIS (LL)
6th Edition
ISBN: 9780357030967
Author: KASSIMALI
Publisher: CENGAGE L
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Question
Chapter 5, Problem 62P
To determine
Plot the shear diagram, bending moment diagram, axial force diagram, and the qualitative deflected shape of the frame.
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1. Use Virtual Work Method to answer the questions below considering the truss shown in the figure.
Assume A = 1200 mm?, E = 200 GPa and a = 12 x 106 / °C
%3D
%3D
c. Vertical displacement of joint A in mm due to external force only. Put negative sign if its downward. I
d. Vertical displacement of joint A in mm due to -100 °C change in temperature in members AE and ED. Don't
add deflection due to external loads or fabrication error. Put negative sign if its downward.
D
E
4.1m
A
' 3.6 kN
5.4 kN
4.1m
4.1m
Using the method of virtual work to find the vertical deflection at joint K. Given E = 200000 MPa and
cross-section area of members are 2500 mm^2. Vertical live loads of 100N are applied at joints B through
F.
For the bridge truss shown in the figure:
2 m
E
F
6 @ 2m = 12m
PLease show all of your work
Chapter 5 Solutions
STRUCTURAL ANALYSIS (LL)
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - Determine the equations for shear and bending...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.12 through 5.28 Determine the equations for...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - 5.29 through 5.51 Draw the shear and bending...Ch. 5 - Draw the shear and bending moment diagrams for the...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - For the beam shown: (a) determine the distance a...Ch. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71P
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- Hand written pleasearrow_forwardUse virtual work method. Find vertical displacement of joint B in mm due to +200 oC change in temperature in members BE and CE. Don't add deflection due to external loads or fabrication error.arrow_forwardAn extruded beam has the cross-section shown in the figure. A vertical shear force, V of 110 kN is acting at the shear center of the section. Uniform thickness is 9mm. 72 50 192 50 Use I = 22.055484 × 10° mm' Estimate the total vertical shear (kN) resisted by the web CD. A 117 B 110 C 103 D 96 The distance from the axis of the web to the shear center is most nearly equal to. A 35 mm B 20 mm 15 mm D 40 mmarrow_forward
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- Problem 6 For the beam shown below, use the conjugate beam method to compute the vertical deflection and the rotation to the left and the right of the hinge at C. Given: E = 220 GPa, IAC = 2000 × 106 mm², and ICF = 150 × 106 mmª A 10 KN B C DE +-5 m-5 m-5 m-5 m 100 kN-m -10 m Farrow_forwardUse isometric paper for the 3D problem and use the format; given, find and solution to explainarrow_forwardneed help.arrow_forward
- Please i want solution to Item 4 (Sub question No- 4) Please answer question No 4 For the beam below: Draw the approximate deflected shape from the bending moment diagram. Develop the piecewise functions of θ(x) and v(x) using double integration. Assume EI is constant. Take x to be references from the farthest left point on the beam If w = 2 k/ft and L = 5 ft, locate the point of maximum deflection between supports A and B. Develop a variable based excel program that allows you to plot both the slope and displacement functions with x. In other words, your program should be able to take any value of w, L, E, I and x and automatically calculate deflection and slope. Print x-y scatter plots connected by smooth lines for both the deflection and slope using values of x ranging from 0 to 2L in increments of 0.5 ft. Plot the displacement in inches and slope in radians for the following cases using your program: i) w = 2 k/ft, L = 5 ft, E = 4,176,000 ksf, I = 0.073784 ft4 ii) w = 10 k/ft,…arrow_forwardbeam is having Young's 2 105 N/mm², Moment 8 x 107 mm4 and Length of Inertia I 2500 mm. What is the uniformly distributed load which the beam can carry in order to produce a deflection of 5 mm at the free end? A cantilever modulus E = = = Xarrow_forward3. A simply supported beam is loaded as shown in the figure. Determine the slope and deflection at the point of application of 5k load. Use moment-area method, E = 29 x 10³ ksi and I = 550in⁴arrow_forward
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