What are the stress components when the element is rotated counterclockwise 30°?

What are the stress components when the element is rotated counterclockwise 30°?
March 30, 2021 Comments Off on What are the stress components when the element is rotated counterclockwise 30°? Assignment Assignment help

X1 = 7 MPa X2 = 30 Mpa X3= 25 MPa X4= 68 MPa X5= -12 degrees (angle) Q1. A steel beam is loaded under four-point bending and give a stress contour with a stress block at a point A as shown in Figure 1. Solve the following questions using Mohr’s circle, drawn on a piece of graph paper with coordinates for all relevant points. a. Determine the in-plane principal stresses and principal planes. Show your results on the stress block. (20%) b. Determine the maximum in-plane shear stress, the associated normal stresses, and the angle of orientation. Show your results on the stress block. (20%) c. What are the stress components when the element is rotated counterclockwise 30°? Q2. The state of plane stress at the surface of a column is represented on the stress block as shown in Figure 2. Solve the following questions using stress transformation equations: a. Determine the state of stress of the stress block when oriented at an angle of ???????? from the positive x-axis. Show your results on the stress block. (20%) b. Calculate the principal stresses and principal planes. Show your results on the stress block. (20%) c. Calculate the maximum shear stress and the angle of orientation. (10%)

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