FOR EACH SLIDE
-Determine the MAXIMUM and MINIMUM NORMAL STRESS and the MAXIMUM SHEAR STRESS for each slide.
-Determine the PRINCIPAL PLANES and the SHEAR PLANES.
Homework Answers
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FOR EACH SLIDE
-Determine the MAXIMUM and MINIMUM NORMAL STRESS and the MAXIMUM
SHEAR STRESS for...
Consider a point in a structural member that is subjected to plane stress. Normal and shear...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 95.3 MPa, Sy = 79.3 MPa, and Sxy = 41.0 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On your paper show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). (c) Compute the absolute maximum shear...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 55 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes 60 MPa - 80 MPa — x 90 MPa State of stress The state of stress...
Consider a point in a structural member that is subjected to plane stress. Normal and shear...
Consider a point in a structural member that is subjected to
plane stress. Normal and shear stress magnitudes acting on
horizontal and vertical planes at the point are
Sx = 45 MPa, Sy = 10 MPa,
and Sxy = 36 MPa.
(a) Determine the principal stresses ( σ p 1 > σ p 2 ) and the
maximum in-plane shear stress τ max acting at the point.
(b) Find the smallest rotation angle θ p (counterclockwise is
positive, clockwise is...
Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orienta...
Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case. 20 MPa 80 MPa 30 MPa
a) Construct Mohr's Circle b) Determine principal planes and principal stress c) Determine maximum shearing stress...
a) Construct Mohr's Circle
b) Determine principal planes and principal stress
c) Determine maximum shearing stress
d) Determine normal stress and shear stress in C plane.
60 MPa 45 MPa 70 120 MPa
Consider a point in a structural member that is subjected to plane stress. Normal and shear...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown in Figure 4. Determine the principal stresses and the maximum in-plane shear stress acting at the point. 55 MPa 42 MPa 32 MPa Figure 4
Question 3 Determine the orientation of the plane, the principal stresses, maximum shear stress and normal...
Question 3 Determine the orientation of the plane, the principal stresses, maximum shear stress and normal stress in the element? 200 MPa 100 MP 150 MPa
For the 3-D stress element below the normal stress in the z-direction is a principal stress....
For the 3-D stress element below the normal stress in the z-direction is a principal stress. 1) Sketch the 3-D Mohr's Circles and calculate the three Principal Stresses 01, 02, and 03 2) Calculate and show on the circles the Maximum Absolute Shear Stress Tabs,max Note: since the normal stress in the z-direction is a principal stress, you just need to find out if it is 01, 02, or 03 N 5 MPa 10 MPa x -5 MPa 5 MPa...
Consider a point in a structural member that is subjected to plane stress. Normal and shear...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresse acting on horizontal and vertical planes at the point 8.4 MPa are shown in the figure 44.8 MPa a) Draw Mohr's circle for this state of stress b) Determine the principal stresses and the maximum in- plane shear stress acting at the point. Show these stresses in an appropriate sketch. c) 60.5 MPa
The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes...
The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sy = 16 MPa, Sv = 29 MPa, and Syy = 32 MPa 1. Using the equilibrium equation approach, determine the normal and shear stresses o (positive if tensile, negative if compressive) and T = 8.13°, a = 7, and b Assume B tan (magnitude only) at this point on the inclined plane shown....
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 95.3 MPa, Sy = 79.3 MPa, and Sxy = 41.0 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On your paper show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). (c) Compute the absolute maximum shear...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 55 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes 60 MPa - 80 MPa — x 90 MPa State of stress The state of stress...
Consider a point in a structural member that is subjected to
plane stress. Normal and shear stress magnitudes acting on
horizontal and vertical planes at the point are
Sx = 45 MPa, Sy = 10 MPa,
and Sxy = 36 MPa.
(a) Determine the principal stresses ( σ p 1 > σ p 2 ) and the
maximum in-plane shear stress τ max acting at the point.
(b) Find the smallest rotation angle θ p (counterclockwise is
positive, clockwise is...
Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case. 20 MPa 80 MPa 30 MPa
a) Construct Mohr's Circle
b) Determine principal planes and principal stress
c) Determine maximum shearing stress
d) Determine normal stress and shear stress in C plane.
60 MPa 45 MPa 70 120 MPa
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown in Figure 4. Determine the principal stresses and the maximum in-plane shear stress acting at the point. 55 MPa 42 MPa 32 MPa Figure 4
Question 3 Determine the orientation of the plane, the principal stresses, maximum shear stress and normal stress in the element? 200 MPa 100 MP 150 MPa
For the 3-D stress element below the normal stress in the z-direction is a principal stress. 1) Sketch the 3-D Mohr's Circles and calculate the three Principal Stresses 01, 02, and 03 2) Calculate and show on the circles the Maximum Absolute Shear Stress Tabs,max Note: since the normal stress in the z-direction is a principal stress, you just need to find out if it is 01, 02, or 03 N 5 MPa 10 MPa x -5 MPa 5 MPa...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresse acting on horizontal and vertical planes at the point 8.4 MPa are shown in the figure 44.8 MPa a) Draw Mohr's circle for this state of stress b) Determine the principal stresses and the maximum in- plane shear stress acting at the point. Show these stresses in an appropriate sketch. c) 60.5 MPa
The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sy = 16 MPa, Sv = 29 MPa, and Syy = 32 MPa 1. Using the equilibrium equation approach, determine the normal and shear stresses o (positive if tensile, negative if compressive) and T = 8.13°, a = 7, and b Assume B tan (magnitude only) at this point on the inclined plane shown....
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