(d) Show the given stress state and draw the load line. Determine the factors of safety with respect to fatigue and to first-cycle yielding.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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(d) Show the given stress state and draw the load line. Determine the factors of
safety with respect to fatigue and to first-cycle yielding.
Transcribed Image Text:(d) Show the given stress state and draw the load line. Determine the factors of safety with respect to fatigue and to first-cycle yielding.
1. A bicycle wheel is assembled with each spoke pre-tensioned to a tensile force of
95 lbf. The diameter of each spoke is d = 0.0787 in.
After the wheel is assembled, a strain gauge is applied to a representative spoke so
that the gauge reads zero strain in the pre-tensioned condition. The figure below
shows one cycle of strain readings as the wheel rotates through one revolution in
use. Zero degrees corresponds to the spoke being between the hub and the ground
(i.e., at the six o'clock position).
50
-50
-100
-150
-200
-250
-300
-150
-100
-50
50
100
150
Spoke position in degrees
He, microstrain
Transcribed Image Text:1. A bicycle wheel is assembled with each spoke pre-tensioned to a tensile force of 95 lbf. The diameter of each spoke is d = 0.0787 in. After the wheel is assembled, a strain gauge is applied to a representative spoke so that the gauge reads zero strain in the pre-tensioned condition. The figure below shows one cycle of strain readings as the wheel rotates through one revolution in use. Zero degrees corresponds to the spoke being between the hub and the ground (i.e., at the six o'clock position). 50 -50 -100 -150 -200 -250 -300 -150 -100 -50 50 100 150 Spoke position in degrees He, microstrain
Expert Solution
Step 1: Introduction

Fatigue failure of material refer to the failure under the action of cyclic elastic stress. Fatigue generally involves the formation and gradual growth of cracks and ultimately to fracture as a result of reduced load carrying capacity.

First-cycle yielding in a material is directly related to low cycle fatigue in terms of repeated plastic deformation creating structural cracking of the material within the first cycle of stress strain load that propagated quickly to the break failure point.

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