Ch.1 Problem 1.34 Solution | Study Guide - Edubirdie

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

2021
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314

Pages:

1
Author:

5prinzg1s

PROBLEM 1.34 A steel pipe of 12-in. outer diameter is fabricated from 41 -in.-thick plate by welding along a helix that forms an angle of 25° with a plane perpendicular to the axis of the pipe. Knowing that a 66 kip axial force P is applied to the pipe, determine the normal and shearing stresses in directions respectively normal and tangential to the weld. SOLUTION 1 d = 6 in. 2 o ri = ro − t = 6 − 0.25 = 5.75 in. d o = 12 in. ro = A0 = π ( ro2 − ri2) = π (6 2 − 5.75 2 ) = 9.228 in 2 θ = 25 ° Normal stress: Shearing stress: σ = τ= P cos 2 θ (66 × 10 3) cos 2 25 ° = = 5875 psi 9.228 A0 σ = 5.87 ksi W Psin 2 θ (66 × 10 3)sin 50 ° = = 2739 psi 2 A0 (2)(9.228) τ = 2.74 ksi W

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