PSAD Refresher 105: Stress, Deformation and Displacement of Rods Supporting a Shelf

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SITUATION: A shelf is being designed to hold crates having a total mass of 2025 kg. Two support steel rods in the figure will hold the shelf. Assume that the center of gravity of the crates is at the middle of the shelf and the shelf is rigid. Neglect the weight of the shelf and the rods.
1. Calculate the minimum required diameter (mm) of the rod if the stress is limited to 110 MPa.
A. 18 C. 13
B. 12 D. 19

2. If the diameter of the rods is 25 mm, calculate the elongation (mm) of the rod.
A. 0.189 C. 0.245
B. 0.378 D. 0.289

3. If the diameter of the rods is 25 mm, calculate the vertical displacement (mm) of the rod-shelf connection.
A. 1.104 C. 0.065
B. 0.129 D. 0.552


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