5) For the truss below, compute the horizontal deflection of point C using virtual work under the loading condition shown. Bars AB and BD have a cross-sectional area of 2 in.². Bars AC, BC, CD, and CE have a cross-sectional area of 1.5 in.². Use a modulus of elasticity (E) of 30,000 ksi. Internal forces for the loading condition are given above each bar (C = compression, T = tension). 30 kips B 37.5" (c) 30* (T) 22.5 (7) 6 ff

5) For the truss below, compute the horizontal deflection of point C using virtual work under the loading condition shown. Bars AB and BD have a cross-sectional area of 2 in.². Bars AC, BC, CD, and CE have a cross-sectional area of 1.5 in.². Use a modulus of elasticity (E) of 30,000 ksi. Internal forces for the loading condition are given above each bar (C = compression, T = tension). 30 kips B 37.5" (c) 30* (T) 22.5 (7) 6 ff

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; / = 1930 in.41. For the loading shown, determine: (a) the beam deflection at point A (b) the beam deflection at point B. Assume MA = 250 kip-ft, P = 29 kips, LAB = 4.9 ft, LBc = 7.4 ft.
Prob 5. Calculate the maximum deflection dmax and the angle of deflection on the supports of a uniformly loaded simple beam loaded as shown. The maximum bending stress is o=60 MPa. The cross section of the beam is square with a length of 8 cm on each side. The beam is made of aluminum having modulus of elasticity E = 70 GPa. q = 2.0 kN/m L= 2.0 m
The cross-sectional dimensions of the beam shown in the figure are a = 4.5 in., b = 5.4 in., d = 4.9 in., and t= 0.31 in. The internal bending moment about the z centroidal axis is M, = -3.85 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. (typ.) Answers: (a) Omax T = psi (b) OmaxC= psi
Rigid bar ABCD is loaded and supported as shown. Steel [E = 28400 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.75 in.2 and bar (2) has a cross-sectional area of 0.45 in.2. After load P is applied, the strain in bar (1) is found to be 850 μεμε. Assume L1=53 in., L2=79 in., a=34 in., b=33 in., and c=30 in. Determine:(a) the stresses in bars (1) and (2).(b) the vertical deflection vD of point D on the rigid bar.(c) the load P.
Idealize the following braced frame as a truss. Compute the horizontal deflection at Node A. ● ● ● E = 29000 ksi Column: A = 10.0 in.² Diagonal brace: A = 1.09 in.² Beams: A = 10.0 in.2 14 20k 1OK 77777 16' A
The cross-sectional dimensions of the beam shown in the figure are a = 4.1 in., b= 5.1 in., d= 4.3 in., andt= 0.33in. The internal bending mornent about thez centroidal axis is M, = -4.15 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. b y |(ур.) |d a Answers: (a) OmaxT psi (b) Omax C= psi
The cross-sectional dimensions of a beam are shown. The internal bending moment about the z centroidal axis is M₂ = +3.51 kip-ft. Assume b = 7.125 in., d = 5.25 in. and t = 0.75 in. Determine: (a) the maximum tension bending stress in the beam. (b) the maximum compression bending stress oc in the beam. Answers: (a) OT = i ) oc = i t b y K H ksi ksi.
Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A
PROBLEM No. 2 The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free. If a 20-kip load is applied, determine the vertical displacement in the bar at A and C that will cause a stress in the rod at C to be 50 ksi. Indicate the direction of movement. Use E = 29x106 psi for steel. (Provide FBD and movement diagram in your computation). A = 0.5 in.? 3 ft | A B D | 20 kips te 2 ft -→-- 2 ft -→l 4 ft 4 ft A = 0.75 in.²
2. Solve the following problem of bars in axial load using the finite element method, finding a) displacements at the nodes, b) reactions at supports, c) forces and stresses in each element. Consider E1=E2=E3=200GPa, A1= 20x10-4 m2, A2= 10x10-4 m2, A3= 8x10-4 m2 for the bars. F2= 40kN, F3= 50kN
Rigid bar ABCD is loaded and supported as shown. Steel [E = 29900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.81 in.2 and bar (2) has a cross-sectional area of 0.46 in.2. After load P is applied, the strain in bar (1) is found to be 770 με. Assume L1=55 in., L2=78 in., a=31 in., b=31 in., and c=36 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vD of point D on the rigid bar. (c) the load P.
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1620 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 190 kip-ft, P = 26 kips, LAB = 3.6 ft, LBC = 5.4 ft. %3D %3D P V. MA C LAB LBC Answer: (a) VA = in. (b) VB = in.