University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Consider a bar made of AISI 1006 cold-drawn steel
with a tensile yield strength of 280 MPa,
compressive yield strength of 140 GPa, and
ultimate strength of 330 MPa. The bar is loaded by
Vz=550 N, P=4000 N, and T = 25 N-m.
a) What are the principal stresses at point A?
b) What are the safety factors for yielding at A
using Maximum Shear Stress Theory
(MSS), Distortion Energy Theory (DET),
and Coulomb-Mohr Theory (CMT)?
c) What are the principal stresses at point B?
B
D= 15 mm
L = 100 mm
T
d) What are the safety factors for yielding at B using MSS, DET, and CMT?
e) Which point has the lowest factor of safety and what theory does it correspond to?
f) Which point has the highest factor of safety and what theory does it correspond to?
g) If a design change is proposed that would reduce the diameter of the bar, would the
design change increase or decrease the lowest factor of safety you calculated previously?
Justify your answer with a brief explanation, but not with calculations.
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Transcribed Image Text:Consider a bar made of AISI 1006 cold-drawn steel with a tensile yield strength of 280 MPa, compressive yield strength of 140 GPa, and ultimate strength of 330 MPa. The bar is loaded by Vz=550 N, P=4000 N, and T = 25 N-m. a) What are the principal stresses at point A? b) What are the safety factors for yielding at A using Maximum Shear Stress Theory (MSS), Distortion Energy Theory (DET), and Coulomb-Mohr Theory (CMT)? c) What are the principal stresses at point B? B D= 15 mm L = 100 mm T d) What are the safety factors for yielding at B using MSS, DET, and CMT? e) Which point has the lowest factor of safety and what theory does it correspond to? f) Which point has the highest factor of safety and what theory does it correspond to? g) If a design change is proposed that would reduce the diameter of the bar, would the design change increase or decrease the lowest factor of safety you calculated previously? Justify your answer with a brief explanation, but not with calculations.
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