
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Transcribed Image Text:Assignment #4
Q3
A curved bar ABC is subjected to two equal
loads in opposite direction as shown in
figure. The axis of bar forms a semicircle
of radius R. Draw shear force and bending
moment diagram for given bar ABC
B
P
P
C
A
R
0
R
R
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- For the truss in figure below, the cross-sectional area of the truss members is A=500 mm² and Young's modulus E= 200 GPa. Let P = 93.7 kN. 1 m √3 m B Ø D 1 m √3 m F Determine: a) Strain energy for truss AC. Enter your answer in Jto 2 decimal places. b) Strain energy for truss AB. Enter your answer in J to 2 decimal places. c) Strain energy for truss BC. Enter your answer in J to 2 decimal places. d) Strain energy for truss BD. Enter your answer in J to 2 decimal places. e) Strain energy for truss DC. Enter your answer in J to 2 decimal places. f) Strain energy for truss DF. Enter your answer in J to 2 decimal places. g) Strain energy for truss FC. Enter your answer in J to 2 decimal places. h) Strain energy for truss CE. Enter your answer in Jto 2 decimal places. i) The displacement at point A. Enter your answer in mm to 2 decimal places. Aarrow_forward9 Consider the plane truss with load Pas shown in the figure. Let the horizontal and vertical reactions at the joint B be Hg and V, respectively and Vc be vertical reaction at the joint C. 2 exhoM S SLO 60° - II B A 60° D L 60° F 60° KLA G P с Which one of the following sets gives the correct values of VB, HB and V? (a) VB = 0; HB = 0; Vc = P (b) VB P/2; HB = 0; Vc = P/2 (c) VB = P/2; HB = P (sin60°); Vc = P/2 (d) VB = P; HB = P (cos(60°); Vc = 0 [2016arrow_forwardThe three-bar truss ABC shown in the figure has a span L = 3 m and is constructed of steel pipes having cross-sectional area A = 3,900 mm2 and modulus of elasticity E = 200 GPa. A load P = 650,099 Newton acts horizontally to the right at joint C. Note that point A is fixed, and point B is immovable in vertical direction but movable in horizontal direction. Find: (a) the axial forces in the bars, based on the force equilibrium of points C and B, (b) the strain energy of the truss (i.e., the total strain energy of bars AC, BC and AB), (c) the horizontal displacement of point C, based on the Work-energy principle. Hint: 1. The lengths of AC and BC are: LAC = LBC = L sin 45° = 2,121 mm 2. For an axial member, the strain energy is × EA × 2 Force Lengtharrow_forward
- For the truss shown, determine by the method of nodes the magnitude of the force in member AE P F = 73 N P = 88 N a = 2.7 m b = 1.7 m 0= 79° Darrow_forwardSolve with Free body diagramarrow_forwardThe beam with cross-section shown in Figure 1 is subjected to a uniformly distributed load and a moment. The centroidal axis of the section is c= 74.44 mm from the bottom. I. -2.18x10 mm. E = 2.1×10 MPa. a) At a cross-section 2 m to the right of support A; i) ii) iii) Calculate the Shear Force, V, and the Bending Moment, M. Determine the maximum bending stress. Sketch the bending stress distribution across the section, include critical tension & compression stress values. Determine shear stress developed at the flange-web interface and also the shear stress at the neutral axis of the cross-section. Sketch the shear stress distribution across the section, include the critical values. b) Using the double integration method, find the deflection curve for 0≤x≤5 m. 3 kN/m 5m 3 m- Figure 1 15 kN-m 100 All dimensions are in mm.arrow_forward
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