Structural Analysis (MindTap Course List)
5th Edition
ISBN: 9781133943891
Author: Aslam Kassimali
Publisher: Cengage Learning
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Question
Chapter 7, Problem 12P
To determine
Calculate the required cross sectional area of the truss.
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USE VIRTUAL WORK METHOD
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use virtual work method to determine horizontal and vertical components of the deflection at joint B of the truss
P
D
A
E
B
-2 at L
EA= = constant
P
A
F
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Chapter 7 Solutions
Structural Analysis (MindTap Course List)
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
Ch. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69P
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- need help.arrow_forwardA/ Use Castigliano's second theorem to determine the vertical deflection at joint B of the trusses shown in Figure (1-A) -2m 4 45 kN Figure (1-A) -2 m D 1.5 marrow_forwardFind the slope and deflection at point D using Conjugate beam method E= 12GPA Square dimensions= 300mm both sides I at AB= 2 I at BC= 1 I at CD= 3arrow_forward
- 4- Determine the vertical and horizontal deflections at joint B of the truss shown using the virtual work method. 3 m m 100 kN -50 kN m EA constant E = 70 GPa A = 1,000 mm²arrow_forwardBy Castigliano's second theorem find the area of the cross section smallest required for the truss members shown, so that the horizontal deflection at joint D do notexceed 10mm. Only by the method mentioned. Handwritten plsarrow_forwardUse the method of virtual work to find the vertical deflection of the steel truss at joint A (in inches). The areas of all bars is 4.00 in². E=10,000 ksi. A 800lb -8' E B 500lb -12' D 10'arrow_forward
- PROBLEM 1(USING CONJUGATE BEAM METHOD) DETERMINE THE DEFLECTION AT POINTSB AND D 2.5 k/ft Hinge 35 k D В -16 ft -8 ft 8 ft- 1 = 4,000 in.4 [ = 3,000 in.4 E = constant = 30,000 ksi %3D %3Darrow_forwardThe truss shown has a pin at A and a roller at C, and is subjected to the loading as shown. The modulus of elasticity, E is 1600 ksi. If all of the members have the same cross sectional area, using the method of virtual work, find the smallest cross sectional area so that the vertical deflection at joint B does not exceed 0.4in.arrow_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_forward
- Find the location and the magnitude of the maximum deflection of the beam shown. Use the Conjugate Beam method. E = 29000 ksi, 1= 3033 in 60 k 60 k D E B Hinge -10 ft -10 ft- -10 t- -10 ft- L= 40 ft El = constant E = 29,000 ksiarrow_forwardDetermine the slopes and deflections at point B for the beam shown below by the conjugate beam methodarrow_forwardDetermine the smallest cross sectional area A for the members of the truss shown below, so that the vertical deflection at joint B does not exceed 10mm. Use the method of principle of virtual work. The truss is pin supported at A and B. 50 kN 50 kN 100 kN - D. 4 m A 3 m EA = constant E = 70 GPaarrow_forward
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