Republic of the Philippines BE 7 (STRENGHT OF MATERIALS)
NORTHWEST SAMAR STATE UNIVERSITY 1st Semester – A .Y.: 2024-2025
San Jorge Campus Instructor/Prof.:________________________
Brgy. Erenas San Jorge, Samar Date Submitted: _______________________
PROBLEM SET NO. 3
TORSION
1. A flexible shaft consists of a 0.20-in-diameter steel wire encased in a stationary tube that fits
closely enough to impose a torque of 0.50 lb·in. G = 12 × 106 psi.
a. Determine the diameter of the tube if the shearing stress is not to exceed 20 ksi.
b. Calculate the shearing stress on a transverse cross section at the inside surface of the
shaft.
c. Calculate the Angle of twist of one end relative to the other end of the 3ft long shaft?
2. Determine the maximum torque that can be applied to a hollow circular steel shaft of 100-
mm outside diameter and an 80-mm inside diameter without exceeding a shearing stress of 60
MPa or a twist of 0.5 deg/m. Use G = 83 GPa.
3. A shaft composed of segments AC, CD, and DB is fastened to rigid supports and loaded as
shown in Fig. P-323. For bronze, G = 35 GPa; aluminum, G = 28 GPa, and for steel, G = 83
GPa. Determine the maximum shearing stress developed in each segment.
Prepared by:
ENGR. VANESA FAE G. VILLALUZ
Course Instructor
