A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is 1. O 2. 1 3. 1.08 A 2.02

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is 1. O 2. 1 3. 1.08 A 2.02

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

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by
1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage
change in the circumferential (hoop) stress is
1. 0
2. 1
3. 1.08
4. 2.02

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Problem 4. Two strain gages are mounted on a thin-walled cylindrical pressure vessel. One strain gage is oriented parallel to the longitudinal axis of the thin-walled cylindrical pressure vessel while the other strain gage is perpendicular to the first. The tank has radius r= 20 in. and wall thickness of t= 0.4 in. It is made from a material that has %3D Young's Modulus E = 15x10® psi and Poisson's Ratio v =0.31. The strain gages in. report the following after the tank is pressurized: & = 133.0µ and ɛy = 591.5µ. in. in. in. E (& + v&µ) and ơ E From Hooke's Law: 0 (1-v*) (1-v²) Determine: Gage Pressure p
Q-A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is..
2. Show the type of stress distribution over the radius of the disk
In a thin cylindrical shell, the ratio of longitudinal stress to hoop stress is (a) 0.5 (c) 1.5 (b) 1.0 (d) 2.0
سنذكك
Q2)A filament 0.5m long and having a cross-sectional area of 1mm2 was stretched to breaking. If the breaking stress for the filament was found to be 109 Pa, calculate the mass which was hung on the filament to break it. Assuming the filament stretched linearly up to breaking, calculate the amount by which the filament stretched. (Young’s modulus for the material = 6 x 1010 Pa) If the assumption in (b) was justified, what might the material have been? State in one word.
Which of the following is NOT TRUE for a state of stress at point for a thin spherical pressure vessel? O The in-plane shear stress is equal to zero. O The minimum principal stress is equal to pr/2t. The maximum principal stress is equal to pr/2t. The in-plane shear stress is equal to pr/2t
1
Solid mechanics
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