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A solid circular rod having diameter D=20 cm is to be replaced by a rectangular tube having cross-sectional dimenslons D x 2D (which are measured to the wall centerlines of the cross-section). Determine the required minimum thickness tmin of the tube so that the maximum shear stress In the tube will not exceed the maximum shear stress in the solid bar. D D 20

A solid circular rod having diameter D=20 cm is to be replaced by a rectangular tube having cross-sectional dimenslons D x 2D (which are measured to the wall centerlines of the cross-section). Determine the required minimum thickness tmin of the tube so that the maximum shear stress In the tube will not exceed the maximum shear stress in the solid bar. D D 20

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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CE 421 APPLIED SOLID MECHANICS HOMEWORK #1 1. A solid circular rod having diameter D=20 cm is to be replaced by a rectangular tube having cross-sectional dimensions D x 2D (which are measured to the wall centerlines of the cross-section). Determine the required minimum thickness tmin of the tube so that the maximum shear stress in the tube will not exceed the maximum shear stress in the solid bar 2D 2. The solid aluminum bar has a square cross-section of 25mm by 25mm. If it is 2 m long. find a) the maximum shear stress in the bar b) the rotation of one end to the other. 15 m 20 N-m 05 m sO N m 60 N-m -25 mm 25 inm 3. Equal torques are applied to thin-walled tubes of the same length L, same thickness t, and same radius c. One of the tubes has been slit lengthwise as shown. Find (a) the ratlo To / T, of the maximum shearing stresses in the tubes (b) the ratio o / , of the angle of twist of the shafts. (a) (b) 4. Three boards are nailed together to form the beam shown, which is subj vertical shear. Knowing that the spacing between the nails is 75mm, and the shearing force In each nail is 40ON, find the allowable shear. II
Transcribed Image Text:CE 421 APPLIED SOLID MECHANICS HOMEWORK #1 1. A solid circular rod having diameter D=20 cm is to be replaced by a rectangular tube having cross-sectional dimensions D x 2D (which are measured to the wall centerlines of the cross-section). Determine the required minimum thickness tmin of the tube so that the maximum shear stress in the tube will not exceed the maximum shear stress in the solid bar 2D 2. The solid aluminum bar has a square cross-section of 25mm by 25mm. If it is 2 m long. find a) the maximum shear stress in the bar b) the rotation of one end to the other. 15 m 20 N-m 05 m sO N m 60 N-m -25 mm 25 inm 3. Equal torques are applied to thin-walled tubes of the same length L, same thickness t, and same radius c. One of the tubes has been slit lengthwise as shown. Find (a) the ratlo To / T, of the maximum shearing stresses in the tubes (b) the ratio o / , of the angle of twist of the shafts. (a) (b) 4. Three boards are nailed together to form the beam shown, which is subj vertical shear. Knowing that the spacing between the nails is 75mm, and the shearing force In each nail is 40ON, find the allowable shear. II
(a) (b) 4. Three boards are nailed together to form the beam shown, which is subjected to a vertical shear. Knowing that the spacing between the nalls Is 75mm, and the allowable shearing force in each nail is 400N, find the allowable shear. 60 mm 60 mm 120 mm- 200 mm 5. A wooden beam diameter bolts are spaced at Intervals of s = 200 mm along the x axls of the beam. If the internal shear force in the beam is V=7 kN, determine the shear stress in each bolt. fabricated by bolting together three members as shown. The 8-mm- 40 mm 40 mm 40 mm 90 mm 300 mm II ...
Transcribed Image Text:(a) (b) 4. Three boards are nailed together to form the beam shown, which is subjected to a vertical shear. Knowing that the spacing between the nalls Is 75mm, and the allowable shearing force in each nail is 400N, find the allowable shear. 60 mm 60 mm 120 mm- 200 mm 5. A wooden beam diameter bolts are spaced at Intervals of s = 200 mm along the x axls of the beam. If the internal shear force in the beam is V=7 kN, determine the shear stress in each bolt. fabricated by bolting together three members as shown. The 8-mm- 40 mm 40 mm 40 mm 90 mm 300 mm II ...
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