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This contains exercises and notes of shearing stress, Lecture notes of Mechanics

This contains exercises and notes of shearing stress

Typology: Lecture notes

2024/2025

Uploaded on 06/07/2025

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Problem 115
What force is required to punch a 20-mm-diameter hole in a plate that is 25 mm thick? The
shear strength is 350 MN/m2.
Answer: P = 549.8 kN
Problem 116
As in Fig. 1-11c, a hole is to be punched out of a plate having a shearing strength of 40 ksi. The
compressive stress in the punch is limited to 50 ksi.
(a) Compute the maximum thickness of plate in which a hole 2.5 inches in diameter can be
punched.
Answer: t= 0.781 inch
(b) If the plate is 0.25 inch thick, determine the diameter of the smallest hole that can be
punched.
Answer: d = 0.8 in
Problem 117
Find the smallest diameter bolt that can be used in the clevis shown in Fig. 1-11b if P = 400 kN.
The shearing strength of the bolt is 300 MPa.
3Answer: 29.13 mm
Problem 118
A 200-mm-diameter pulley is prevented from rotating relative to 60-mm-diameter shaft by a
70-mm-long key, as shown in Fig. P-118. If a torque T = 2.2 kN·m is applied to the shaft,
determine the width b if the allowable shearing stress in the key is 60 MPa.
3
3Answer: b = 17.46 mm
Problem 119
Compute the shearing stress in the pin at B for the member supported as shown in Fig. P-119.
The pin diameter is 20 mm.
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Problem 115 What force is required to punch a 20-mm-diameter hole in a plate that is 25 mm thick? The shear strength is 350 MN/m 2 . Answer: P = 549.8 kN Problem 116 As in Fig. 1-11c, a hole is to be punched out of a plate having a shearing strength of 40 ksi. The compressive stress in the punch is limited to 50 ksi. (a) Compute the maximum thickness of plate in which a hole 2.5 inches in diameter can be punched. Answer: t= 0.781 inch (b) If the plate is 0.25 inch thick, determine the diameter of the smallest hole that can be punched. Answer: d = 0.8 in Problem 117 Find the smallest diameter bolt that can be used in the clevis shown in Fig. 1-11b if P = 400 kN. The shearing strength of the bolt is 300 MPa. Answer: 29.13 mm Problem 118 A 200-mm-diameter pulley is prevented from rotating relative to 60-mm-diameter shaft by a 70-mm-long key, as shown in Fig. P-118. If a torque T = 2.2 kN·m is applied to the shaft, determine the width b if the allowable shearing stress in the key is 60 MPa. Answer: b = 17.46 mm Problem 119 Compute the shearing stress in the pin at B for the member supported as shown in Fig. P-119. The pin diameter is 20 mm.

Answer: Tb= 94.02 MPa Problem 121 Referring to Fig. P-121, compute the maximum force P that can be applied by the machine operator, if the shearing stress in the pin at B and the axial stress in the control rod at C are limited to 4000 psi and 5000 psi, respectively. The diameters are 0.25 inch for the pin, and 0. inch for the control rod. Assume single shear for the pin at B. Answer: P = 11.23 lb Problem 123 A rectangular piece of wood, 50 mm by 100 mm in cross section, is used as a compression block shown in Fig. P-123. Determine the axial force P that can be safely applied to the block if the compressive stress in wood is limited to 20 MN/m^2 and the shearing stress parallel to the grain is limited to 5MN/m^2. The grain makes an angle of 20° with the horizontal, as shown. Answer: P = 77.79 kN Determine the average shear stress in the 20-mm-diameter pin at A and the 30-mm-diameter pin at B that support the beam in Fig. 1–21 a.