The composite shaft consists of a mid-section that includes the 1-in.-diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thickness of the flanges and determine the angle of twist of end C of the shaft relative to end D.The shaft is subjected to a torque of 800 lb.ft.The material is A-36 steel.

The shaft is fixed at ends A and B and has a positive torque T a distance of 4m from A and 8m from end B. If the angle of twist is zero and the reaction torque at A is 334N-m, what is the magnitute of applied torque T?

The 80-mm-diameter shaft is made of steel. If it is subjected to the uniform distributed torque, determine the angle of twist of end A. Take G = 75 GPa.

The two solid shafts are connected by the gears shown. The motor constantly supplies 20 kW of power at 15 Hz to system at A. The yield shear stress is 140 MPa for shaft (1) and 220 MPa for the shaft (2), and over all factor of safety is 2. a) Find the diameter of both shafts. b) If the modulus of rigidity of shaft (2) G is 77.2 GPa, calculate the relative angle of twist D with respect to C. 30 teeth B (1) 48 teeth Tp 0.8 m

F10-13. The 80-mm-diameter shaft is made of steel. If it is subjected to the uniform distributed torque, determine the angle of twist of end A. Take G = 75 GPa. SEN m/m

= 5-6. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions BC and DE of the shaft. The bearings at A and Fallow free rotation of the shaft. B 20 lb-ft 35 lb-ft 40 lb-ft 25 lb-ft Probs. 5-6/7

4. The tapered shaft is made from E- 36 steel ( G = 80 GPa ) , and has a radius which can be described by the equation r = 0.02 ( 1 + x5) m, where x is in meters. Determine the angle of twist of its end A if it is subjected to a torque of 450 N.m. r = 0.02(1 + x3/2) m 4 m 450 N•m

*10-40. The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. Determine the angle of twist of end B with respect to end A. The shaft has a diameter of 40 mm. 400 N-m 1200 N-m 600 N-m 600 mm S00 mm 200 N-m 400 mm

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The 60-mm-diameter solid shaft is made of 2014-T6 aluminum and is subjected to the distributed and concentrated torsional loadings shown. Determine the angle of twist at the free end A of the shaft.