Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection at C, as shown in the figure. A 4,700-lb concentrated load is applied to the rigid bar at A. Member (1) is a 3.50-in.-wide by 1.00-in.-thick rectangular bar made of steel with a yield strength of Gy = 33,000 psi. The pin at C has an ultimate shear strength of 6 = 69,000 psi. Assume P = 4,700 lb, a = 29 in, b= 44 in., c = 20 in., and d = 35 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 = 3.1 with respect to the ultimate shear strength is required, determine the minimum diameter that may be used for the pin at C.

Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection at C, as shown in the figure. A 4,700-lb concentrated load is applied to the rigid bar at A. Member (1) is a 3.50-in.-wide by 1.00-in.-thick rectangular bar made of steel with a yield strength of Gy = 33,000 psi. The pin at C has an ultimate shear strength of 6 = 69,000 psi. Assume P = 4,700 lb, a = 29 in, b= 44 in., c = 20 in., and d = 35 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 = 3.1 with respect to the ultimate shear strength is required, determine the minimum diameter that may be used for the pin at C.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.6.21P: -21 Plastic bar AB of rectangular cross section (6 = 0.75 in. and h = 1.5 in.) and length L = 2 Ft...

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