Ch.1 Problem 1.67 Solution | Study Guide - Edubirdie

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

2021
Views:

112

Pages:

1
Author:

rezancuk2j

PROBLEM 1.67 Knowing that a force P of magnitude 750 N is applied to the pedal shown, determine (a) the diameter of the pin at C for which the average shearing stress in the pin is 40 MPa, (b) the corresponding bearing stress in the pedal at C, (c) the corresponding bearing stress in each support bracket at C. SOLUTION Draw free body diagram of BCD. Since BCD is a 3-force member, the reaction at C is directed toward Point E, the intersection of the lines of action of the other two forces. From geometry, CE = 300 2 + 125 2 = 325 mm + ↑ ΣFy = 0 : (a) τ pin = (b) σb = (c) σb = 1 2C = Apin 1 2C d2 4 π d = 125 C− P =0 325 2C πτpin = C = 2.6 P = (2.6)(750) = 1950 N (2)(1950) π (40 × 10 6) = 5.57 × 10− 3m C C 1950 = = = 38.9 × 10 6Pa Ab dt (5.57 × 10− 3)(9 × 10− 3) 1 2C Ab = 1950 C = = 35.0 × 10 6Pa 3 3 2dt (2)(5.57 × 10− )(5 × 10− ) d = 5.57 mm W σb = 38.9 MPa W σb = 35.0 MPa W

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