The tubular shaft of the soil auger is subjected to the axial force and torque shown. If the auger is rotating at a constant rate, determine the state of stress at points A and B on the cross section of the shaft at section a-a. 1200 lb 3000 lb-ft 1 in. A 1.5 in. B Section a-a

Question 2. The hollow steel shaft has a diameter of 65 mm and thickness of 5mm, is subjected to a torque and moment produced by a 3 kN force which is 15 mm from the centre of the shafts cross section. The shafts have the same centroid. a. Using Mohr's circle, determine the principal stress, maximum in-plane shear stress and average normal stress in the at point J and K. b. If the weld has a 30° at point J, what is the maximum shear stress the weld has to with- stand. K 700 mm F=3kN 15 mm c. Determine the maximum bending stress if the hole in the cross section area is now off centre by 2 mm in the x and y direction.

The W-kg man stands in the position shown. If the center of gravity of the man is at Gand assuming that the contact point at C is smooth.a) Find the reactions at B and C. b) Determine the state of stress at point A on the cross section of the plank at sectiona–a (Cubic stress element in 2D).

3. Gear B supplies 20 KW of power, while gears A, C and D withdraw 6 kW, 4 kW and 10 kW, respectively. If the shaft is made of steel with the allowable shear stress of 80 MPa, and the relative angle of twist between any two gears cannot exceed 0.065 rad, determine the required minimum diameter d of the shaft to the nearest millimeter. The shaft is rotating at 800 rpm. 600 mm 600 mm 600 mm

3. The stepped shaft shown is supported by bearings at A and B. Determine the maximum stress in the shaft due to the applied torques. The shoulder fillet at the junction of each shaft has a radius of r= 3 mm 27 N.m 54 N.m 27 N.m 30 mm A 15 mm

A 2.5-in.-diameter solid aluminum post is subjected to a horizontal force of V = 4.70 kips, a vertical force of P = 7.35 kips, and a concentrated torque of T = 12.05 kip-in., acting in the directions shown. Assume L = 3.5 in. Determine the normal stress σy at point H.

The 3/4-in.-diameter shaft is subjected to the loading shown. Determine the stress components at point A. Sketch the results on a volume element located at this point. The journal bearing at C can exert only force components Cyand Cz on the shaft, and the thrust bearing at D can exert force components Dx, Dy, and Dz on the shaft.

The 0.97 in diameter rod is subjected to the loads shown. Determine the normal and shear stress at point B.

Two solid steel wall supported shafts are connected using the 4 bolt flange. A torque is applied to one side of the bolted connection. Using G = 11.2x10 psi determine the shear stress in the 4" diameter bolts which are on a 2.5" bolt circle diameter. Solve with the applied torque on the left side coupling as shown. Also determine the bolt shear stress if the applied torque was on the other side of the coupling. 1.5 in. 1.25 in. T-350 lb ft 3 ft 2 ft

The mechanism below consists of a solid shaft with a diameter of 2 in between A and B and a hollow shaft with an outside diameter of 7 in and a thickness of 1/2 in between B and C. A torque T = 3 kip-in is applied as shown at A and two forces, each P = 322 lb, are applied as shown at the ends of the levers connected to Point B. Determine the shear stress that occurs on the exterior of the hollow shaft between B and C. Express answer in nearest whole psi.