1-A circular tube of outer diameter d;-90 mm and inner diameter d;=70 mm is welded at the right-hand end to a fixed plate and the left-hand end to a rigid end plate (see figure). A solid circular bar of diameter d;=60 mm is inside of and concentric with the tube. The bar passes through a hole in the fixed plate and is welded to plae the rigid endplate. The bar is 1.0 m long, and the tube is half as long as the bar. A torque T=1000 N. m acts at end A of the bar. The bar and tube are also made of an aluminum alloy with a shear modulus of elasticity G=30 GPa. (a) Determine the maximum shear stresses in both the bar and Tube Fised plate End Bar Tube Har tube. (b) Determine the angle of twist (in degrees) at end A of the bar.

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1-A circular tube of outer diameter d;-90 mm and inner diameter
d;=70 mm is welded at the right-hand end to a fixed plate and the
left-hand end to a rigid end plate (see figure). A solid circular bar
of diameter d;=60 mm is inside of and concentric with the tube.
The bar passes through a hole in the fixed plate and is welded to plate
the rigid endplate. The bar is 1.0 m long, and the tube is half as
long as the bar. A torque T=1000 N. m acts at end A of the bar. The
bar and tube are also made of an aluminum alloy with a shear
modulus of elasticity G=30 GPa.
(a) Determine the maximum shear stresses in both the bar and
Tube
Fired
plate
End
Har
Tube
Har
tube.
(b) Determine the angle of twist (in degrees) at end A of the bar.
Transcribed Image Text:1-A circular tube of outer diameter d;-90 mm and inner diameter d;=70 mm is welded at the right-hand end to a fixed plate and the left-hand end to a rigid end plate (see figure). A solid circular bar of diameter d;=60 mm is inside of and concentric with the tube. The bar passes through a hole in the fixed plate and is welded to plate the rigid endplate. The bar is 1.0 m long, and the tube is half as long as the bar. A torque T=1000 N. m acts at end A of the bar. The bar and tube are also made of an aluminum alloy with a shear modulus of elasticity G=30 GPa. (a) Determine the maximum shear stresses in both the bar and Tube Fired plate End Har Tube Har tube. (b) Determine the angle of twist (in degrees) at end A of the bar.
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