3: Stress from Axial Load: A block is being compressed, which creates the following stress components...

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3: Stress from Axial Load: A block is being compressed, which creates the following stress components on the vertical surfaces of the stress element (dashed white box). We are interested in calculating the stress components on the following four surfaces marked with a thick black line. 8kPa 30 deg X 45 deg X 60 deg Oshear 1. Jus a. Using the force balance approach described in the supplemental powerpoint lesson, calculate the resultant traction, and the shear and normal stress components that exist on the above surfaces. Draw these vectors in the images below. [value=2] -45 deg normal b. On the graph below, plot and label the stress components on the surfaces from part (a) and from the surfaces normal to the x- and y-axis. Connect the points to create Mohr's circle (use a compass). From this plot, estimate the magnitude of the principal stresses and max shear stress. [ value = 1] 2 c. Compare your results from part (a) with calculations using the transformation equations given in the book (3-8, 3-9). Remember that the sign from the transformation equation relates to the x-y coordinate system for that specific stress element. [value = 0.5] d. Compare your principal stress and max shear stress results (magnitude) from part (b) with calculations using the transformation equations given in the book (3-13, 3-14). [value = 0.5] 3: Stress from Axial Load: A block is being compressed, which creates the following stress components on the vertical surfaces of the stress element (dashed white box). We are interested in calculating the stress components on the following four surfaces marked with a thick black line. 8kPa 30 deg X 45 deg X 60 deg Oshear 1. Jus a. Using the force balance approach described in the supplemental powerpoint lesson, calculate the resultant traction, and the shear and normal stress components that exist on the above surfaces. Draw these vectors in the images below. [value=2] -45 deg normal b. On the graph below, plot and label the stress components on the surfaces from part (a) and from the surfaces normal to the x- and y-axis. Connect the points to create Mohr's circle (use a compass). From this plot, estimate the magnitude of the principal stresses and max shear stress. [ value = 1] 2 c. Compare your results from part (a) with calculations using the transformation equations given in the book (3-8, 3-9). Remember that the sign from the transformation equation relates to the x-y coordinate system for that specific stress element. [value = 0.5] d. Compare your principal stress and max shear stress results (magnitude) from part (b) with calculations using the transformation equations given in the book (3-13, 3-14). [value = 0.5]

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