Question

10. A shaft BC (length: 1.2 m) of circular cross-section (diameter 60 mm) is welded to a beam AB (length 1.5 m) of rectangular cross-section (70 mm × 50 mm). A torque $T_0 = 2.50$ kN·m is applied at C as shown. Determine the rotation of the end C. Both the shaft and the beam are made of steel ($E = 200$ GPa; $G = 77.5$ GPa). [0.0523 rad]

Name: 10 a shaft bc length 12 m of circular cross section diameter 60 mm is welded to a beam ab length 15 m of rectangular cross section 70 mm 50 mm a torque t0 250 knm is applied at c as shown d 40237
Uploaded: 2024-07-30T00:35:44-08:00
Duration: 3 min 26 s
Channel: Adi S
Description: 10 a shaft bc length 12 m of circular cross section diameter 60 mm is welded to a beam ab length 15 m of rectangular cross section 70 mm 50 mm a torque t0 250 knm is applied at c as shown d 40237

          10. A shaft BC (length: 1.2 m) of circular cross-section (diameter 60 mm) is welded to a beam AB (length 1.5 m) of rectangular cross-section (70 mm × 50 mm). A torque $T_0 = 2.50$ kN·m is applied at C as shown. Determine the rotation of the end C. Both the shaft and the beam are made of steel ($E = 200$ GPa; $G = 77.5$ GPa). [0.0523 rad]

10 a shaft bc length 12 m of circular cross section diameter 60 mm is welded to a beam ab length 15 m of rectangular cross section 70 mm 50 mm a torque t0 250 knm is applied at c as shown d 40237

Added by Virginia W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/30/2024

Step 1

The shaft has a circular cross-section with diameter $d = 60$ mm $= 0.06$ m. The polar moment of inertia for a circular cross-section is given by: $J_{shaft} = \frac{\pi d^4}{32} = \frac{\pi (0.06)^4}{32} = 2.12 \times 10^{-7} m^4$ Show more…

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10. A shaft BC (length: 1.2 m) of circular cross-section (diameter 60 mm) is welded to a beam AB (length 1.5 m) of rectangular cross-section (70 mm × 50 mm). A torque $T_0 = 2.50$ kN·m is applied at C as shown. Determine the rotation of the end C. Both the shaft and the beam are made of steel ($E = 200$ GPa; $G = 77.5$ GPa). [0.0523 rad]