Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi]with a cross-sectional area ofA1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A, = 0.400in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in.,b = 15.75 in., and c = 20.00 in. For an applied load of P = 8kips, determine:(a) the normal stresses in links (1) and (2).(b) the deflection of end D of the rigid bar.DPL1|C(1)L2bBaAX,u Determine geometry-of-deformation relationships. Find the ratio of ug to uc, where ug is the magnitude of thehorizontal displacement of pin B and uc is the magnitude of the horizontal displacement of pin C. Also, find the ratio of ugto up, where up is the magnitude of the horizontal displacement of point D.What is the ratio of dị to d2, where d1 is the deformation of link (1) and 82 is the deformation of link (2)? Your answermust be consistent with the sign convention for axial deformation discussed in Section 5.3.Determine the compatibility equation and use it to find the ratio of F1 to F2, where F1 is the internal force in link (1) andF2 is the internal force in link (2). Your answer must be consistent with the sign convention for internal axial forces.Find the internal forces F1 and F2 in links (1) and (2), respectively. Use the sign convention for internal axial forces.Determine the normal stresses in links (1) and (2). Based on the sign conventions, a tensile normal stress is positive and acompressive normal stress is negative. Use the sign convention for normal stresses discussed in Section 1.2.Determine the deflection of link (1). Use the sign convention for axial deformation.Determine the deflection of end D of the rigid bar. Enter a positive value if it deflects to the right, or a negative value if itdeflects to the left.

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Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi] with a cross-sectional area of A1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A2 in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in., b = 15.75 in., and c = 20.00 in. For an applied load of P = 8 kips, determine: = 0.400 (a) the normal stresses in links (1) and (2). (b) the deflection of end D of the rigid bar. D P. C (1) L2 B (2) a A X,u

Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi] with a cross-sectional area of A1 = 0.545 in.? and a length of L1 = 16 in. Link (2) is cold-rolled steel [E = 30,000 ksi] with a cross-sectional area of A2 in.? and a length of L2 = 35 in. Use dimensions of a = 13.75 in., b = 15.75 in., and c = 20.00 in. For an applied load of P = 8 kips, determine: = 0.400 (a) the normal stresses in links (1) and (2). (b) the deflection of end D of the rigid bar. D P. C (1) L2 B (2) a A X,u

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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