Question

A thin-walled steel tube is 1 m long and has the cross section shown. The 50 mm dimension is between wall centers. The tube is transmitting a torque of 2 kN·m. The steel has a Young's modulus of E = 210 GPa and a Poisson's ratio of $v = 0.29$. Determine estimates for (a) the shearing stress $\tau$ due to torsion; and (b) the total angle of twist, $\phi$, of the tube. (Final Answers: 58.3 MPa, 1.10°) + 3 + 75 50 (Dimensions in mm)

          A thin-walled steel tube is 1 m long and has the cross
section shown. The 50 mm dimension is between wall
centers. The tube is transmitting a torque of 2 kN·m. The
steel has a Young's modulus of E = 210 GPa and a
Poisson's ratio of $v = 0.29$. Determine estimates for
(a) the shearing stress $\tau$ due to torsion; and
(b) the total angle of twist, $\phi$, of the tube.
(Final Answers: 58.3 MPa, 1.10°)
+ 3 + 75 50
(Dimensions in mm)

A thin-walled steel tube is 1 m long and has the cross
section shown. The 50 mm dimension is between wall
centers. The tube is transmitting a torque of 2 kN·m. The
steel has a Young's modulus of E = 210 GPa and a
Poisson's ratio of v = 0.29. Determine estimates for
(a) the shearing stress τ due to torsion; and
(b) the total angle of twist, ϕ, of the tube.
(Final Answers: 58.3 MPa, 1.10°)
+ 3 + 75 50
(Dimensions in mm)

Added by Peggy D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kamlesh Goyal

Step 1

025 m) J = Polar moment of inertia of the tube's cross section R = Radius of the tube's cross section (50 mm / 2 = 25 mm = 0.025 m) To calculate J, we can use the formula for the polar moment of inertia of a hollow circular section: J = (π/2) * (R^4 - Show more…

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A thin-walled steel tube is 1 m long and has the cross section shown. The 50 mm dimension is between wall centers. The tube is transmitting a torque of 2 kNm. The steel has a Young's modulus of E = 210 GPa and a Poisson's ratio of v = 0.29. Determine estimates for a the shearing stress Ï„ due to torsion; and b the total angle of twist Î¸, of the tube. 50 (Final Answers: 58.3 MPa, 1.10)