Ch.1 Problem 1.57 Solution | Michigan State University - Edubirdie

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

2021
Views:

115

Pages:

1
Author:

Hallie Randolph

PROBLEM 1.57 The Load and Resistance Factor Design method is to be used to select the two cables that will raise and lower a platform supporting two window washers. The platform weighs 160 lb and each of the window washers is assumed to weigh 195 lb with equipment. Since these workers are free to move on the platform, 75% of their total weight and the weight of their equipment will be used as the design live load of each cable. (a) Assuming a resistance factor φ = 0.85 and load factors γ D = 1.2 and γ L = 1.5, determine the required minimum ultimate load of one cable. (b) What is the conventional factor of safety for the selected cables? SOLUTION γ D PD + γ L PL = φ PU (a) PU = γ D PD + γ L PL φ 1 3 (1.2) §¨ × 160 ·¸ + (1.5) §¨ × 2 × 195 ·¸ 2 4 © ¹ © ¹ = 0.85 PU = 629 lb W Conventional factor of safety. P = PD + PL = (b) F. S. = 629 PU = P 372.5 1 × 160 + 0.75 × 2 × 195 = 372.5 lb 2 F. S . = 1.689 W

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