PROBLEM 5: The structure shown was designed to support a 30-kN load. It consists of a boom AB with a 30 x 50-mm rectangular cross section and a rod BC with a 20-mm-diameter circular cross section. The boom and the rod are connected by a pin at B and are supported by pins and brackets at A and C, respectively. 1. Calculate the normal stress in boom AB and rod BC, indicate if in tension or compression. Flat end 40 mm d=25 mm 20 mm TOP VIEW OF ROD BC d = 20 mm d = 20 mm 600 mm FRONT VIEW 2. Calculate the shear stress of pins at A, B and C. 3. Calculate the bearing stresses at A in member AB, and in the bracket. 600 mm 50 mm d=20 mm -800 mm- 30 kNV 50 mm d=25 mm Flat end B 800 mm Q=30 kN Q=30 kN END VIEW 25 mm 20 mm 30 mm 20 mm 25 mm A B TOP VIEW OF BOOM AB d = 25 mm

PROBLEM 5: The structure shown was designed to support a 30-kN load. It consists of a boom AB with a 30 x 50-mm rectangular cross section and a rod BC with a 20-mm-diameter circular cross section. The boom and the rod are connected by a pin at B and are supported by pins and brackets at A and C, respectively. 1. Calculate the normal stress in boom AB and rod BC, indicate if in tension or compression. Flat end 40 mm d=25 mm 20 mm TOP VIEW OF ROD BC d = 20 mm d = 20 mm 600 mm FRONT VIEW 2. Calculate the shear stress of pins at A, B and C. 3. Calculate the bearing stresses at A in member AB, and in the bracket. 600 mm 50 mm d=20 mm -800 mm- 30 kNV 50 mm d=25 mm Flat end B 800 mm Q=30 kN Q=30 kN END VIEW 25 mm 20 mm 30 mm 20 mm 25 mm A B TOP VIEW OF BOOM AB d = 25 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.3.10P: Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa

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