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A diver of weight W is springing on a rectangular cross-sectional diving board ABC. On a particular bounce, the diver reaches a height h above the end C of the board. Data are as follows: a = 3 m; L = 4 m; b = 400 mm; d= 65 mm; h=500 mm; E = 12.6 GPa; W=600 N. Find: a. The maximum static deflection and stress in the board b. The maximum dynamic deflection at end C c. The maximum dynamic stress in the board d. Also solve b, and c. if the sunports at A and Bare fixed, ie the beam

A diver of weight W is springing on a rectangular cross-sectional diving board ABC. On a particular bounce, the diver reaches a height h above the end C of the board. Data are as follows: a = 3 m; L = 4 m; b = 400 mm; d= 65 mm; h=500 mm; E = 12.6 GPa; W=600 N. Find: a. The maximum static deflection and stress in the board b. The maximum dynamic deflection at end C c. The maximum dynamic stress in the board d. Also solve b, and c. if the sunports at A and Bare fixed, ie the beam

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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3. A diver of weight W is springing on a rectangular cross-sectional diving board ABC. On a particular bounce, the diver reaches a height h above the end C of the board. Data are as follows: a = 3 m; L= 4 m; b = 400 mm; d = 65 mm; h= 500 mm; E= 12.6 GPa; W= 600 N. Find: a. The maximum static deflection and stress in the board b. The maximum dynamic deflection at end C c. The maximum dynamic stress in the board d. Also solve b. and c. if the supports at A and B are fixed, i.e. the beam acts as a cantilever of length 3 m.
Transcribed Image Text:3. A diver of weight W is springing on a rectangular cross-sectional diving board ABC. On a particular bounce, the diver reaches a height h above the end C of the board. Data are as follows: a = 3 m; L= 4 m; b = 400 mm; d = 65 mm; h= 500 mm; E= 12.6 GPa; W= 600 N. Find: a. The maximum static deflection and stress in the board b. The maximum dynamic deflection at end C c. The maximum dynamic stress in the board d. Also solve b. and c. if the supports at A and B are fixed, i.e. the beam acts as a cantilever of length 3 m.
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