Ch.1 Problem 1.68 Solution - Edubirdie

University:
Michigan State University
Course:
ERG 100 | Introduction to Engineering Design
Academic year:

2021
Views:

88

Pages:

1
Author:

rehinhea0c

PROBLEM 1.68 A force P is applied as shown to a steel reinforcing bar that has been embedded in a block of concrete. Determine the smallest length L for which the full allowable normal stress in the bar can be developed. Express the result in terms of the diameter d of the bar, the allowable normal stress σall in the steel, and the average allowable bond stress τall between the concrete and the cylindrical surface of the bar. (Neglect the normal stresses between the concrete and the end of the bar.) SOLUTION For shear, A = π dL P = τ all A = τ allπ dL For tension, A= π 4 d2 §π · P = σ all A = σ all ¨ d 2 ¸ ©4 ¹ Equating, Solving for L, τ allπ dL = σall π 4 d2 Lmin = σ alld/4τ all W

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