STRUCTURAL ANALYSIS (LL)
6th Edition
ISBN: 9780357030967
Author: KASSIMALI
Publisher: CENGAGE L
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Chapter 5, Problem 58P
To determine
Plot the shear diagram, bending moment diagram, axial force diagram, and the qualitative deflected shape of the frame.
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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
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 m
Problem 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 ft
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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- 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_forwardSubject: Structural Theory Topic: Conjugate Method Follow instructions and show HANDWRITTEN solution with free body diagram. Box the final answerarrow_forwardUsing Double Integration Method, determine the equation of the elastic curve of the beam below and specify the slope and deflection at point B. E = 200,000 MPa and I = 40,083x10° mm4 L= 5m a = 2m w = 10 kN /m A B a -L-arrow_forward
- Use the Virtual Work method to determine the vertical component of deflection at point B of the truss shown. Note:hand written solution should be avoided.arrow_forwardDetermine the slopes and deflections at points B and C of the cantilever beam shown in Fig. 6.14(a) by the conjugate beam methodarrow_forward1. Use the virtual work method to determine the vertical deflection at joint C of the truss shown. 15 ft D (4 in.2) (3 in.2) (4 in.²) 20 ft E B 25 k E = 29,000 ksi (4 in.²) (4 in.²) -20 ft- C 25 karrow_forward
- For the shown frame: 1. Calculate support reactions. 2. Draw B.M.D., S.F.D. and N.F.D. 3. Use the Virtual Work Method to calculate: (a) Horizontal deflection of Point H, (b) Right side rotation of Point F, due to the given loads. El is 15x105 kip.ft2. Axial deformations are negligible. 20 kip | 3 kip/ft A D H 5 ft 50 kip.... 5 ft 6 ft 15 ft E A 4 ft 30 kip 7.5 ft F 7.5 ft 7.5 ft G B Tim 6 ft ..... 40 kip N 6 ft 8 ftarrow_forwardUse the virtual work method to determine the deflection at point C of the beam shownarrow_forwardUse the moment-area method to determine the slopes and deflections at points B and D of the beam shownarrow_forward
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