Ch.1 Problem 1.66 Solution | Study Guide - Edubirdie

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

2021
Views:

109

Pages:

1
Author:

gewoekerdodx

PROBLEM 1.66 The 2000-lb load can be moved along the beam BD to any position between stops at E and F. Knowing that σ all = 6 ksi for the steel used in rods AB and CD, determine where the stops should be placed if the permitted motion of the load is to be as large as possible. SOLUTION Permitted member forces: 2 § π ·§ 1 · AB : ( FAB)max = σ all AAB = (6) ¨ ¸¨ ¸ © 4 ¹© 2 ¹ = 1.17810 kips 2 π 5 CD : ( F CD) max = σ all A CD = (6) §¨ ·¸¨§ ·¸ © 4 ¹© 8 ¹ = 1.84078 kips Use member BEFD as a free body. P = 2000 lb = 2.000 kips ΣM D = 0 : − (60)F AB + (60 − x E)P = 0 60 − xE = 60 FAB (60)(1.17810) = P 2.000 = 35.343 x E = 24.7 in. W ΣM B = 0 : 60FCD − x F P = 0  xF = 60FCD (60)(1.84078) = P 2.000 x F = 55.2 in. W

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