To determine To calculate: The maximum average normal stress in the 3 4 in . diameter tie rod BC and the maximum average shear stress in the 5 8 in . diameter pin at B . Explanation Given information: The jib crane is pinned at A and supports a chain hoist that can travel along the bottom flange of the beam, 1 ft ≤ x ≤ 12 ft . The hoist is rated to support a maximum of 1,500 lb. Calculation: Find the cross sectional area of the tie rod as shown below. A B C = π d B C 2 4 Here, d B C is the diameter of the tie rod. Substitute 3 4 in . for d B C . A B C = π ( 3 4 ) 2 4 = 0.4418 in . 2 Find the cross sectional area of the pin B as shown below. A B = π d B 2 4 Here, d B is the diameter of the pin. Substitute 5 8 in . for d B . A B = π ( 5 8 ) 2 4 = 0.3068 in . 2 Sketch the Free Body Diagram as shown in Figure 1. Refer to Figure 1. Find the force applied to the tie rod as shown below. Take moment about A is Equal to zero. ∑ M A = 0 T B C sin 30 ° × 10 − 1 , 500 × x = 0 5 B C − 1 , 500 x = 0 5 T B C = 1 , 500 x T B C = 300 x Maximum value of T B C occurs at x = 12 ft . Substitute 12 ft for x . T B C = 300 × 12 = 3 , 600 lb Find the average normal stress developed in the tie rod BC as shown below

9th Edition

ISBN: 9789810694364

Author: Russell C Hibbeler

Publisher: Pearson Education

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Chapter 1.5, Problem 1.59P

To determine

To calculate: The maximum average normal stress in the 34 in. diameter tie rod BC and the maximum average shear stress in the 58 in. diameter pin at B.

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Chapter 1.5, Problem 1.58P

Chapter 1.5, Problem 1.60P

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Mechanics Of Materials, Si Edition

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