Ch.1 Problem 1.30 Solution | Michigan State University - Edubirdie

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

2021
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181

Pages:

1
Author:

Nesbyenvkk

PROBLEM 1.30 Two wooden members of uniform cross section are joined by the simple scarf splice shown. Knowing that the maximum allowable tensile stress in the glued splice is 75 psi, determine (a) the largest load P that can be safely supported, (b) the corresponding shearing stress in the splice. SOLUTION A 0 = (5.0)(3.0) = 15 in 2 θ = 90° − 60° = 30° σ = (a) (b) P= P cos2 θ A0 σ A0 cos 2 θ τ = = (75)(15) cos 2 30 ° = 1500 lb P sin 2θ (1500)sin 60° = 2 A0 (2)(15) P = 1.500 kips W τ = 43.3 psi W

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