Ch.1 Problem 1.31 Solution | Study Guide - Edubirdie

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

2021
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338

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1
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Accinkiquicpqw

PROBLEM 1.31 Two wooden members of uniform rectangular cross section are joined by the simple glued scarf splice shown. Knowing that P = 11 kN, determine the normal and shearing stresses in the glued splice. SOLUTION θ = 90 ° − 45 ° = 45° P = 11 kN = 11 × 103 N A 0 = (150)(75) = 11.25 × 10 3mm 2 = 11.25 × 10− 3m 2 σ = P cos2 θ (11 × 103 ) cos2 45° = = 489 × 103 Pa A0 11.25 × 10−3 σ = 489 kPa W τ = P sin 2θ (11× 103 )(sin 90° ) = = 489 × 103 Pa 3 2 A0 (2)(11.25 × 10− ) τ = 489 kPa W

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