A cantilever with rectangular cross-section (width b and height h=2c) is subjected to a vertical load P at its free end. The other end is fixed. As shown, a general surface square element could be subjected to normal stresses due to bending and/or shearing stresses due to shear force. At location x, there is maximum normal stress ox_max due to bending. There is also the element only subjected to shearing stress Txy (the corresponding maximum principle stress op max). What is the ratio ox_max when x=4c? op_max

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.4.7P: A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an...
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A cantilever with rectangular cross-section (width
b and height h=2c) is subjected to a vertical load P
at its free end. The other end is fixed. As shown, a
general surface square element could be
subjected to normal stresses due to bending
and/or shearing stresses due to shear force. At
location x, there is maximum normal stress σx_max
due to bending. There is also the element only
subjected to shearing stress Txy (the corresponding
maximum principle stress op max). What is the ratio
Ox_max
when x=4c?
7
op_max
Transcribed Image Text:A cantilever with rectangular cross-section (width b and height h=2c) is subjected to a vertical load P at its free end. The other end is fixed. As shown, a general surface square element could be subjected to normal stresses due to bending and/or shearing stresses due to shear force. At location x, there is maximum normal stress σx_max due to bending. There is also the element only subjected to shearing stress Txy (the corresponding maximum principle stress op max). What is the ratio Ox_max when x=4c? 7 op_max
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