Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection at C, as shown in the figure. A 5,600-lb concentrated load is applied to the rigid bar at A. Member (1) is a 3.25-in-wide by 1.00-in.-thick rectangular bar made of steel with a yield strength of oy = 32,000 psi. The pin at C has an ultimate shear strength of oy = 64,000 psi. Assume P = 5,600 lb, a = 19 in, b= 29 in., c = 12 in., and d = 22 in. (a) Determine the axial force in member (1) (positive if in tension and negative if in compression). (b) Determine the factor of safety in member (1) with respect to its yield strength. (c) Determine the magnitude of the resultant reaction force acting at pin C. (d) If a minimum factor of safety of FS = 2.7 with respect to the ultimate shear strength is required, determine the minimum diameter that may be used for the pin at C. P B A (1) D C Side view b of connection Answers: (a) F1 = i 13559.431 Ib (b) FS1 = i (c) Fc= i Ib (d) dpin in.

Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection at C, as shown in the figure. A 5,600-lb concentrated load is applied to the rigid bar at A. Member (1) is a 3.25-in-wide by 1.00-in.-thick rectangular bar made of steel with a yield strength of oy = 32,000 psi. The pin at C has an ultimate shear strength of oy = 64,000 psi. Assume P = 5,600 lb, a = 19 in, b= 29 in., c = 12 in., and d = 22 in. (a) Determine the axial force in member (1) (positive if in tension and negative if in compression). (b) Determine the factor of safety in member (1) with respect to its yield strength. (c) Determine the magnitude of the resultant reaction force acting at pin C. (d) If a minimum factor of safety of FS = 2.7 with respect to the ultimate shear strength is required, determine the minimum diameter that may be used for the pin at C. P B A (1) D C Side view b of connection Answers: (a) F1 = i 13559.431 Ib (b) FS1 = i (c) Fc= i Ib (d) dpin in.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.9.16P: A solid steel bar of a diameter d1= 60 mm has a hole of a diameter d2= 32 mm drilled through it (see...

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