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t the top and the other at the bottor ainer. Calculate the tension in each H

t the top and the other at the bottor ainer. Calculate the tension in each H

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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Question

Answer this problem using the given guide:

PROBLEM: An open tank in the shape of a frustum of a cone is bound by two hoops, one at the top and the other at the bottom. The diameters at the top and bottom are 2m and 3m, respectively. If the total bursting force is to be taken care of by the hoops, find tension in each hoop if water stands 2 m in the tank. Height of tank is 3.0 m.

Use this guide to answer the problem and do not copy the given values on this given guide. Use this as a basis.

 

A vertical cylindrical container, 1.60 m in diameter and 4m high, is held together by means of hoops, one at the top and the other at the bottom. A liquid of specific gravity 1.40 stands 3m in the container. Calculate the tension in each hoop. 1.60 m 2T, A 1.0 m 3.0 m 4.0 m hF 1.50 Y, = 2.0 s.g.= 1.40 3.0 m e 1.0 m 2T, B Solution: F = Awh = (1.6)(3)(9.81)(1.40)(1.50) = 98.885 kN 1/12(1.6)(3) Yp = ỹ +! Ig = 2.0 m = 1.5 + A (1.6) (3)(1.5) Location of F from A = 1+ 2 = 3.0.m {FH = 0 EMĄ = 0 2T, + 2T, = F 2T, = F - 2T, = 98.885 – 2(37.082) 2T, (4) – F (3) =0 8T, = 98.885 (3) T, = 12.360 kN T2 = 37.082 kN
Transcribed Image Text:A vertical cylindrical container, 1.60 m in diameter and 4m high, is held together by means of hoops, one at the top and the other at the bottom. A liquid of specific gravity 1.40 stands 3m in the container. Calculate the tension in each hoop. 1.60 m 2T, A 1.0 m 3.0 m 4.0 m hF 1.50 Y, = 2.0 s.g.= 1.40 3.0 m e 1.0 m 2T, B Solution: F = Awh = (1.6)(3)(9.81)(1.40)(1.50) = 98.885 kN 1/12(1.6)(3) Yp = ỹ +! Ig = 2.0 m = 1.5 + A (1.6) (3)(1.5) Location of F from A = 1+ 2 = 3.0.m {FH = 0 EMĄ = 0 2T, + 2T, = F 2T, = F - 2T, = 98.885 – 2(37.082) 2T, (4) – F (3) =0 8T, = 98.885 (3) T, = 12.360 kN T2 = 37.082 kN
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