Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Chapter 5, Problem 57P
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
Determine the Vertical Deflection at F. Indicate the negative sign if the answer is downward.
For the Billboard Truss, shown are the following details:
A-internal = 4 in^2
A-external= 10 in^2
E= 29x10^3 ksi
b. Draw the deflected shape of continuous beam shown
below.
P
Chapter 5 Solutions
Structural Analysis
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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- In the image, w = 300 N/m. a) Determine the shear force at point E of the frame. Express your answer to three significant figures and include the appropriate units.arrow_forwardUsing 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 = 12marrow_forwardProblem 4: The cantilevered beam is subjected to a concentrated force P at its end. Determine the largest magnitude of this force so that the bending stress developed on the cross-section at point A does not exceed = 180 MPa. P is at an angle a -20° in the figure below. Fixed support 2 x A 15m HI™ ** 100 mm 150mm cross-sectionarrow_forward
- Compute the vertical displacement (downward) at Joint C of the given truss shown in Figure 2 using the method of virtual work. You can use Space Gass to compute the internal forces of the real and virtual systems without manual calculations. Assume the cross-sectional area and modulus of elasticity of each member are constant. F B H 3 kN + G 4 kN + D 3 kN + + 3 marrow_forwardRefer to the figure below: Determine the deflection (delta) in mm at point B. Use E = 200 GPa and I = 2100 mm^4 What is the vertical support reaction at the hinge as shown in the figure below.arrow_forwardFor the frame system shown below, find the deformations at D using the principle of virtual work. please Use the integrationtables that I will give youarrow_forward
- draw the shear and bending moment diagrams and the qualitative deflected shape for the beam shown. number 2 in the imagearrow_forwarddetermine the smallest cross-sectional area A required for the members of the truss shown in figure1, so that the horizontal deflection at joint D does not exceed 10 mm. use the virtual work methodarrow_forwardProblem 2. Use Force Method A) For the frame shown below, draw the shear and moment diagram B) Find the horizontal deflection at Cusing virtual work Assume El is constant. C 30 ft 10 ft 15 kips 10 ftarrow_forward
- QUESTION 2 - BEAM For the beam shown below, determine the vertical deflection at point B by using the virtual work method. EI is constant. -5 ft A -5 ft 12 k Į -5 ft B -5 ft- 70 k-ft Fig. 2arrow_forwardCompute the slope and deflection at 2 m from the left support on the beam loaded and supported as shown below. E= 200 GPa and I= 125x10^6mm^2.arrow_forward4. For the beam loaded and supported as shown, using double integration, determine: a. The rotation at the left support. b. The deflection at midspan R1 1 m 600 N/m 3 m * 2 m R₂arrow_forward
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