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.

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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 60P: A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a...

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