3. (a) (b) (c) A hollow steel driving shaft has the modulus of rigidity is 80 GN/m² and its Young's modulus has the same value as modulus of rigidity. is 3:2 and the length of the shaft is 6m. The ratio of the outside to inside diameter This shaft is designed to transmit 750 kW at the rotational speed of 100 rpm but must satisfy the following two conditions: i) the twist must not exceed 1°; ii) the shear stress must not exceed 36 N/mm². Determine the shaft diameter under condition i) Determine the shaft diameter under condition ii) & the final decision of diameter to meet both conditions Determine the direct stress within the shaft if the shaft experiences a change of temperature from 20°C to 80°C and thermal coefficient of the shaft is 12x106/°C

Problem 2. A 300-mm diameter solid disk is to be used as a flywheel in a machine to reduce speed fluctuations. If the disk material has yield strength S Y =720 MPa, density p=7000 kg/m^ 3 . and Poisson's ratio J = 0.2 ^ c , find the maximum allowable rotational speed (in rpm) for a safety factor of 1. a) Solve using the MSST. b) Solve assuming that the disk is mad of cast iron having Sut = 207MPa , Fuc = 780MPa, p = 7000 kg/m³, and Poisson's ratio v r = 0.26 , Use Coulomb-Mohr theory.

The splined ends and gears attached to the steel shaft are subjected to the torques shown in Figure 4. Take G = 75 GN/m². (i) (ii) Determine the location along the 40 mm diameter shaft where the shear stress is largest and plot the variation in shear stress from the shaft centre to its outer surface. Determine the angle of twist of sections C, D, and B relative to end A by producing a graphical plot of the variation of angle of twist from end A to end B (wind-up diagram). 300 N-m 500 N-m A www. 300 mm 200 N.m MAAN 400 mm Figure 4 500 mm 400 N-m

Figure 1 is presented the solid shaft AB rotates at 650 rpm and transmits 30 kW from the motor machine tools connected to gears F and G. Assuming that, 10 kW is taken off at gear F and 20 k taken off at gear G, knowing that allowable torsional shear stress is equal to (65 plus last digit of student ID) MPa. Design the smallest permissible diameter of shaft AB. Figure 1 150 mm 225 mm 905 mm 150 mm 60 mm 100 mm D. 60 mm B.

Could you answer quickly pls? ( course: strength of materials 1)

8.9 (A/B). A solid steel shaft of 200 mm diameter transmits 5 MW at 500 rev/min. It is proposed to alter the horsepower to 7 MW and the speed to 440 rev/min and to replace the solid shaft by a hollow shaft made of the same type of steel but having only 80% of the weight of the solid shaft. The length of both shafts is the same and the hollow shaft is to have the same maximum shear stress as the solid shaft. Find: (a) the ratio between the torque per unit angle of twist per metre for the two shafts; (b) the external and internal diameters for the hollow shaft. [L.Mech.E.] [2.085; 261, 190 mm.]

(2) The shaft consists of a 3-in diameter aluminum segment that is rigidly joined to a 2-in diameter steel segment. The ends of the shaft are attached to rigid supports, Calculate the angle of twist developed at the interface of the two segments when the torque T = 50 kip in is applied. Use G = 4×106 psi for aluminum and G = 12×106 psi for steel. | Aluminum 3-in. diameter 6 ft T Steel 2-in. diameter 3 ft D

A 1.50-in.-diameter solid shaft is subjected to an axial force of P = 1700 lb, a horizontal shear force of V = 180 lb, and a concentrated torque of T = 2200 lb-in., acting in the directions shown. Assume L = 7.5 in.  Section properties for the shaft are A = 1.7671 in.2, J = 0.497 in.4, Iy = Iz = 0.2485 in.4, and Q = 0.2812 in.3.  Determine the normal and shear stresses at point K, and show these stresses on a stress element.