Ch.1 Problem 1.13 Solution | Study Guide - Edubirdie

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

2021
Views:

458

Pages:

1
Author:

Leilani Contreras

PROBLEM 1.13 An aircraft tow bar is positioned by means of a single hydraulic cylinder connected by a 25-mm-diameter steel rod to two identical arm-and-wheel units DEF. The mass of the entire tow bar is 200 kg, and its center of gravity is located at G. For the position shown, determine the normal stress in the rod. SOLUTION  FREE BODY – ENTIRE TOW BAR: W = (200 kg)(9.81 m/s2 ) = 1962.00 N Σ M A = 0 : 850R − 1150(1962.00 N) = 0 R = 2654.5 N   FREE BODY – BOTH ARM & WHEEL UNITS: tan α = 100 675 α = 8.4270 ° Σ ME = 0 : ( FCD cos α )(550) − R(500) = 0 FCD = 500 (2654.5 N) 550 cos 8.4270° = 2439.5 N (comp.)  σCD = − FCD 2439.5 N =− ACD π (0.0125 m) 2 = −4.9697 × 106 Pa σ CD = − 4.97 MPa W

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