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BE50E Fall 2000 Exam 4 Name: ___________ 1. The width of the rectangular gate shown is 8 ft. Determine the magnitude of the resultant force R exerted on the gate by the water and the location of the center of pressure with respect to the hinge at the top of the gate. Use ( = 62.4 lb/ft 3 for the specific weight of the water.
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BE50E Fall 2000 Exam 4 Name:

May 11, 2022

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Page 1: BE50E Fall 2000 Exam 4 Name:

BE50E Fall 2000 Exam 4 Name: ___________

1. The width of the rectangular gate shown is 8 ft. Determine the magnitude of the resultantforce R exerted on the gate by the water and the location of the center of pressure withrespect to the hinge at the top of the gate. Use ( = 62.4 lb/ft3 for the specific weight ofthe water.

Page 2: BE50E Fall 2000 Exam 4 Name:

2. The width of the dam shown is 1 ft. Determine the magnitude of the resultant force Rexerted on the dam by the water. Use ( = 62.4 lb/ft3 for the specific weight of the water.

Page 3: BE50E Fall 2000 Exam 4 Name:

3. For the shaded area shown, determine the radii of gyration kx and ky.

Page 4: BE50E Fall 2000 Exam 4 Name:

4. Determine the principal moments of inertia (Ixp, Iyp) for the Z-section shown with respectto the axes through the centroid of the area. Show the orientation of the principal axes onthe figure or your own sketch of the area.