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(Solved): ROW F PLEASE*A differential stress element has a set of applied stresses on it as indicated in each ...
ROW F PLEASE
*A differential stress element has a set of applied stresses on it as indicated in each row of
Table P4-1. For the row(s) assigned, draw the stress element showing the applied
stresses, find the principal stresses and maximum shear stress analytically, and check the
results by drawing Mohr's circles for that stress state.
Chapter 4 STRESS, STRAIN, AND DEFLECTION Table P4-1 Data for Problem 4-1 (in psi) Rows \( a-g \) and \( k-m \) are two-dimensional, others are 3-D problems \begin{tabular}{crrrrrrr} \hline Row & \( \sigma_{x} \) & \multicolumn{1}{c}{\( \sigma_{y} \)} & \( \sigma_{z} \) & \( \tau_{x y} \) & \( \tau_{y z} \) & \( \tau_{z x} \) \\ \hline\( a \) & 1000 & 0 & 0 & 500 & 0 & 0 \\ \( b \) & \( -1000 \) & 0 & 0 & 750 & 0 & 0 \\ \( c \) & 500 & \( -500 \) & 0 & 1000 & 0 & 0 \\ \( d \) & 0 & \( -1500 \) & 0 & 750 & 0 & 0 \\ e & 750 & 250 & 0 & 500 & 0 & 0 \\ \( f \) & \( -500 \) & 1000 & 0 & 750 & 0 & 0 \\ \( g \) & 1000 & 0 & \( -750 \) & 0 & 0 & 250 \\ \( h \) & 750 & 500 & 250 & 500 & 0 & 0 \\ \( i \) & 1000 & \( -250 \) & \( -750 \) & 250 & 500 & 750 \\ \( i \) & \( -500 \) & 750 & 250 & 100 & 250 & 1000 \\ \( k \) & 1000 & 0 & 0 & 0 & 0 & 0 \\ i & 1000 & 0 & 0 & 0 & 500 & 0 \\ \( m \) & 1000 & 0 & 0 & 0 & 0 & 500 \\ \( h \) & 1000 & 1000 & 1000 & 500 & 0 & 0 \\ 0 & 1000 & 1000 & 1000 & 500 & 500 & 0 \\ \( p \) & 1000 & 1000 & 1000 & 500 & 500 & 500 \\ \hline \end{tabular}
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Given ?x=?500 psi?y=1,000 psi?xy=750 psi Stress Element The stress in x,y direction and the shear stress are shown in the figure below.
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