2. A tubular aluminium bar of a square cross section with outside dimensions of 50 mm x 30 mm, Figure 3, is used to resist a torque T of 300 Nm as part of a light-weight structure. i) ii) Calculate the minimum required wall thickness t if the allowable shear stress is 20 MPa and the allowable rate of twist is 0.025 rad/m. the bar is now made to be "open" i.e. a cut of negligible width is made at corner A along the bar's length, determine the rate of twist and the induced shear stress. Assume that the shear modulus G for aluminium is 28 GPa and the thickness t is uniform along the structure wall

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2. A tubular aluminium bar of a square cross section with outside dimensions of 50 mm x 50 mm,
Figure 3, is used to resist a torque 7 of 300 Nm as part of a light-weight structure.
i)
Calculate the minimum required wall thickness t if the allowable shear stress is 20 MPa.
and the allowable rate of twist is 0.025 rad/m.
the bar is now made to be "open" i.e. a cut of negligible width is made at corner A along
the bar's length, determine the rate of twist and the induced shear stress.
Assume that the shear modulus G for aluminium is 28 GPa and the thickness t is uniform along the
structure wall.
It
50 mm
P
T
50 mm
A
Transcribed Image Text:2. A tubular aluminium bar of a square cross section with outside dimensions of 50 mm x 50 mm, Figure 3, is used to resist a torque 7 of 300 Nm as part of a light-weight structure. i) Calculate the minimum required wall thickness t if the allowable shear stress is 20 MPa. and the allowable rate of twist is 0.025 rad/m. the bar is now made to be "open" i.e. a cut of negligible width is made at corner A along the bar's length, determine the rate of twist and the induced shear stress. Assume that the shear modulus G for aluminium is 28 GPa and the thickness t is uniform along the structure wall. It 50 mm P T 50 mm A
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