Answered: To hang a statue with a mass of…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

To hang a statue with a mass of 102.06kg, you will be using a slender cable made of a steel alloy. A stress–strain plot for this material, made with a tensile testing machine, has been provided below. You have been asked to provide documentation of your calculations for the safe display of this piece. a. Determine the yield strength of the steel alloy used for the suspension cable, and write a brief note for your non-engineer colleagues to help them understand what this property means, and why this value should not be surpassed in this application. b. Determine the appropriate working strength if a safety factor of 1.50 is applied to the yield strength. Jot an annotation of what a safety factor is and why it’s important. c. For aesthetic reasons, it is desired that this wire be as slender and unobtrusive as possible, while still safely holding the mobile. With the calculated working strength in mind, calculate the minimum cable diameter that would safely fulfill the job. d. Using this diameter and assuming a cable length of 5.00 m, calculate the axial strain on the cable. Make a short remark to help your coworkers understand what strain means. e. Calculate the elongation of the cable when the mobile is affixed to it. Is this elongation an example of elastic or plastic deformation, and how do you know?

Stress (MPa)
600
500
400
300
200
100
0
0.00
Stress (MPa)
0.04
500
400
300
200
100
0.000
0.08
0.002
Strain
0.004
Strain
0.12
0.006
0.16
0.20

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