STRUCTURAL ANALYSIS (LL)
6th Edition
ISBN: 9780357030967
Author: KASSIMALI
Publisher: CENGAGE L
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Question
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
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
Problem 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-section
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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_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_forwardQUESTION 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_forward
- 4. 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_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_forwardFor the beam and loading shown, determine the deflection of point A. Use virtual work or Castigliano's Theorem. E = 29 x 10^6 psi I = 39.6 in^4arrow_forward
- Use moment area methodarrow_forwardUse 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_forwardA truss carries a concentrated load at points B, E, F, and G as shown in the figure below. Using unit load method, determine the deflection of the following point. All members of the truss have a circular cross-section: Top Chord has a diameter of 25mm: Bottom chord has a diameter of 37mm; Web member has a diameter of 12mm. USE E=200GPA. 2P F 2P G E 300 60° B 600 30 D A ЗР 4m 4m 4m If the reaction of point D is 72.886751345948KN, determine the value of "P". Determine the vertical deflection of point B. Determine the vertical deflection of point C. Determine the horizontal deflection of point G. Determine the force acting at member FG due to applied force. (NOTE: Put a negative sign if your answer is compressive force, otherwise just put your answer) P.arrow_forward
- Determine the slopes and deflections at points B and C of the cantilever beam shown in Fig. 6.14(a) by the conjugate beam methodarrow_forwardProblem 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_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
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