10-1. The solid shaft of radius r is subjected to a torque T. Determine the radius r' of the inner core of the shaft that resists one-half of the applied torque (T/2). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.

The two shafts are made of A-36 steel (shear modulus G = 75 MPa). Each has a diameter of 25 mm, and they are supported by bearings at A, B, and C, which allow free rotation. If the support at D is fixed, determine a.) the angle of twist of end A and b.) the maximum torsional stress in the shaft, when the two torques of 60 N-m are applied to the assembly as shown, one on shaft ABand the other on shaft CD .

1-63.M. The key in Figure 1-18 has the dimensions b = 10 min, h = 8 nim, and L = 22 min. Determine the shear stress in the key when 95 N-m of torque is transferred from the 35-mm-diameter shaft to the hub. Hub End view Shear plane Shear pl T=Torque -D=Shaft diameter T=F(D/2) F₁-Force of shaf F₂= Force of hub on 1 Shear area=A,=bxL

only HANDWRITTEN answer needed ( NOT TYPED)

*RIO4. The shaft has a radius cand is subjected to a torque per unit length of t, which is distributed uniformly over the shaft's entire length L. If it is fixed at its far end A, determine the angle of twist d of end B. The shear modulus is G.

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. The shaft is subjected to a torque of T=950 lb-ft. The material is A-38 steel, G = 11 x 10³ ksi- (Eigure 1) T 1 in. 3 in. 0.25 in. 0.75 ft. B 0.5 ft Determine the angle of twist of end C of the shaft relative to end D.

5-3. The solid shaft is fixed to the support at C and subjected to the torsional loadings shown. Determine the shcar stress at points A and B and sketch the shear stress on volume clements located at these points 10 kN-m 75 mm 4 kN-m 75 mm 50 mm

The shaft has an outer diameter of 1.5 in. and an inner diameter of 0.8 in. If it is subjected to the applied torques as shown, determine the shear stress distribution on the cross-section within region EA. The smooth bearings at A and B do not resist torque 1500 lb-in. E 2100 lb-in. B 600 lb.in.

Mechanics of materials I

The two shafts are made of steel (G=11x106 lb/in2). Each has a diameter of 1 in. , and they are supported by bearings at A, B and C, which allow free rotation. If the support at D is fixed, determine the angle of twist of end A when the torques are applied to the assembly as shown. Torque applied at H of 80 ft lbs, and at G of 40 ft lbs in opposing directions as seen in the figure