Question

Assignment 1:- Stress & Strain Analyses Three strain gauges were fixed onto a surface of a automotive frame. Under loading, the readings of the gauges were:- $\epsilon_a$ = P1 $\epsilon_b$ = P2 $\epsilon_c$ = P3 a) By using Mohr's circle in conjunction with analytical method, determine the value of the principal strains and maximum shear strain, and show the state of strain in each condition. Verify your answers using the strain transformation equations. b) Calculate $\sigma_x$, $\sigma_y$ and $\tau_{xy}$ using material properties relation. By plotting Mohr's circle on graph paper, determine the values of the principle stresses and maximum shear stress, and show the state of stress in each condition. Also, verify your answers using the stress transformation equations (E = 200 GPa, G = 75 GPa, v = 0.3) c) Determine the values of the normal stress, shear stress, normal strain and shear strain at direction P4° (clockwise) from the x- axis and show the state of stress in this condition

          Assignment 1:-
Stress & Strain Analyses
Three strain gauges were fixed onto a surface of a automotive frame.
Under loading, the readings of the gauges were:-
$\epsilon_a$ = P1  $\epsilon_b$ = P2  $\epsilon_c$ = P3
a) By using Mohr's circle in conjunction with analytical method,
determine the value of the principal strains and maximum shear
strain, and show the state of strain in each condition. Verify your
answers using the strain transformation equations.
b) Calculate $\sigma_x$, $\sigma_y$ and $\tau_{xy}$ using material properties relation. By
plotting Mohr's circle on graph paper, determine the values of
the principle stresses and maximum shear stress, and show the
state of stress in each condition. Also, verify your answers using
the stress transformation equations (E = 200 GPa, G = 75 GPa,
v = 0.3)
c) Determine the values of the normal stress, shear stress, normal
strain and shear strain at direction P4° (clockwise) from the x-
axis and show the state of stress in this condition

Assignment 1:-
Stress Strain Analyses
Three strain gauges were fixed onto a surface of a automotive frame.
Under loading, the readings of the gauges were:-
= P1 = P2 = P3
a) By using Mohr's circle in conjunction with analytical method,
determine the value of the principal strains and maximum shear
strain, and show the state of strain in each condition. Verify your
answers using the strain transformation equations.
b) Calculate , and τxy using material properties relation. By
plotting Mohr's circle on graph paper, determine the values of
the principle stresses and maximum shear stress, and show the
state of stress in each condition. Also, verify your answers using
the stress transformation equations (E = 200 GPa, G = 75 GPa,
v = 0.3)
c) Determine the values of the normal stress, shear stress, normal
strain and shear strain at direction P4° (clockwise) from the x-
axis and show the state of stress in this condition

Added by Paul D.

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