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Question: please show all work as described...

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PLEASE Show all work as described

Plate The support plate shown has a thickness b 12 mm. The hole in the support plate has a diameter D 20 mm. A solid rod with a diameter d = 15 mm passes through the hole. (The center of the rod is aligned with the center of the hole.) The rod head has a diameter a -30 mm and a thickness t10 mm. When the force P is applied to the rod as shown, the rod head contacts the support plate, and the tensile stress in the rod is 180 MPa. The rod is made of stainless steel, which has modulus of elasticity E 193 GPa and Poissons ratio v 0.27. Hole diameter D P ←-- Rod Head 1. Write your names and PSP 2 on engineering paper. 2. Label the dimensions of the rod-plate assembly on a 2- dimensional or 3-dimensional sketch of the rod-plate assembly. A sketch is a rough hand-drawn graphical or diagrammatical presentation of important information; it iscompute the area of o not a free-body diagram. List other given information, using circular cross-section, we use appropriate symbols for variables. Engineers are practical. To A d2. (Think about how specifications of hardware such as bolts and screws are usually listed 4 3. Label the important dimension on a 2-D sketch of the area experiencing tensile stress due to the applied force P. (a) Compute the area. (b) Write the general form of the equation, and then solve for P. Think about whether it is easier to measure the diameter or the radius of a bolt.) 4. Draw a 2-D dimensioned sketch of the area of contact between the support plate and the rod head. (a) Compute the area. (b) Write the general form of the equation, and then solve for the bearing stress due to the force exerted by the rod head on the support plate. 5. Draw a 3-D dimensioned sketch of the area within the rod head experiencing shear stress, considering failure of the rod if it is pulled through the hole, leaving a portion of the rod head behind. (a) Compute the area. (b) Write the general form of the equation, and then solve for the shear stress within the rod head 6. Draw a 3-D dimensioned sketch of the area within the support plate experiencing shear stress, considering failure of the plate if the entire rod head is pulled through the plate, taking a portion of the plate along with it. (a) Compute the area. (b) Write the general form of the equation, and then solve for the shear stress within the support plate. 7. Before the force P is applied, the original length of the rod is 100 mm. After the force P is applied (a) Write the general form of the equation, and then solve for the elongation of the rod (b) Write the general form of the equation, and then solve for the percent change in area of the rod 8. Failure of the rod is predicted to occur if the tensile stress exceeds 207 MPa or if the shear stres:s8. Failure of the rod is predicted to occur if the tensile stress exceeds 207 MPa or if the shear stress exceeds 103 MPa. Failure of the support plate is predicted to occur if the normal stress exceeds 255 MPa or if the shear stress exceeds 126 MPa. Report the factor of safety with respect to: (a) failure of the rod due to tensile stress. (b) failure of the rod head in shear. (c) failure of the support plate due to bearing stress. (d) failure of the support plate due to punching shear stress. List the assumptions you made throughout the solution process: 9. The stress distribution is . The rod and plate are made of materials that are . The deformations and re_compared to the dimensions of the rod and the plate.

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