CEE210 Assign3D-Pastore_Maxwell

pptx

School

Arizona State University *

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Course

210

Subject

Mechanical Engineering

Date

Dec 6, 2023

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pptx

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6

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Name: Date: Subject: CEE/CNE 210 Statics Arizona State University Problem 3d.1 The cross-section of a flood gate is shown. The quarter cylinder gate AB has a horizontal width of 6 ft (normal to the paper) and controls the flow of fresh water over the ledge at B . The gate is hinged about its upper edge A and rests on the frictionless ledge at B . Accounting for the 6 ft cross-sectional width, the gate has a weight of 481 lb/ft along it’s curved length. Determine the minimum force P required to keep the gate closed. g water = 62.43 lb/ft 3 Answer: P = 10.8 kip Recitation 3d Distributed Loads
Name: Date: Subject: CEE/CNE 210 Statics Arizona State University
Name: Date: Subject: CEE/CNE 210 Statics Arizona State University Problem 3d.2 The cross-section of a rigid flood gate is shown. The gate resists the hydrostatic force of the water, which has a unit weight, g w = 62.43 lb/ft 3 . The gate ACB resists the force of the water on the left. The gate is 6 ft wide (into the page) and is supported by a hinge along the top edge A (modeled as a pin support). Friction can be neglected where the gate rests on the floor at B . (a) If the self-weight of the gate is neglected, determine the support reactions at A and B . (b) If the gate weighs 50 lb/ft 2 of face area (already accounting for the thickness of the gate), how do the reactions change? Answers: (a) N B = 43846 lb; R A = (-18720 e 1 - 40476 e 2 ) lb (b) N B = 46052 lb; R A = (-18720 e 1 - 39470 e 2 ) lb Recitation 3d Distributed Loads C
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Name: Date: Subject: CEE/CNE 210 Statics Arizona State University
Name: Date: Subject: CEE/CNE 210 Statics Arizona State University Problem 3e.1 The rigid bent plate ABC forms a gate in water channel (shown in cross-section), resisting the force of the water on the left. The gate is hinged at A , has a roller support at C and is w = 4 ft wide perpendicular to the cross-section (into the page). The uniform gate has a self-weight of m(s)g along it’s entire cross- sectional length. Determine the support reactions at A and C . Answers: 2858.8 lb; Recitation 3e Distributed Loads q L 1 L 2 C A B L 1 = 8 ft; L 2 = 5 ft; q = 60; m(s)g = 150 lb/ft g w = 62.43 lb/ft 3
Name: Date: Subject: CEE/CNE 210 Statics Arizona State University Problem 3e.1 continued – page 2 Recitation 3e Distributed Loads
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