Compare the torsional rigidities of the following sections: (a) a hollow tube 30 mm outside diameter and 1.5 mm thick (b) the same tube split along its length with a 1 mm gap (c) an equal leg angle section having the same perimeter and thickness as (b)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.5P: An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the...
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Compare the torsional rigidities of the following sections:

(a) a hollow tube 30 mm outside diameter and 1.5 mm thick

(b) the same tube split along its length with a 1 mm gap

(c) an equal leg angle section having the same perimeter and thickness as (b)

(d) a square box section with side length 30 mm and I .5 mm wall thickness

(e) a rectangular solid bar, side ratio 2.5 to I. having the same metal cross-sectional area as the hollow tube. Compare also the maximum stresses arising in each case.

2. Compare the torsional rigidities of the following sections:
a) a hollow tube 30 mm outside diameter and 1.5 mm thick
b) the same tube split along its length with a 1 mm gap
c) an equal leg angle section having the same perimeter and thickness as (b)
d) a square box section with side length 30 mm and 1.5 mm wall thickness
e) a rectangular solid bar, side ratio 2.5 to 1. having the same metal cross-sectional area
as the hollow tube. Compare also the maximum stresses arising in each case.
Transcribed Image Text:2. Compare the torsional rigidities of the following sections: a) a hollow tube 30 mm outside diameter and 1.5 mm thick b) the same tube split along its length with a 1 mm gap c) an equal leg angle section having the same perimeter and thickness as (b) d) a square box section with side length 30 mm and 1.5 mm wall thickness e) a rectangular solid bar, side ratio 2.5 to 1. having the same metal cross-sectional area as the hollow tube. Compare also the maximum stresses arising in each case.
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