Problem # 2 A circular element of 1.3 inch diameter is subjected to a torque of 15 Kip.ft. What is the maximum shear stress in the element due to the applied torque? What is the element modulus of rigidity if the shear strain was 0.025 rad?
Problem # 2 A circular element of 1.3 inch diameter is subjected to a torque of...
please show all work. A 2-ft circular shaft of inner diameter of 12 inch and outer diameter of 14 inch is subjected to a torque of 10,000 kip.ft. The shear modulus of the shaft material is 10,000 ksi. The angle of twist in radian of the shaft is most nearly: A. 0.00166 B. 0,0166 C. 0.166 D. 1.66
9.3-11 A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure). The bar is 24 in. long, and the inside and outside diameters are 1.25 in. and 1.75 in., respectively. It is determined by measurement that the angle of twist is 4° when the torque is 6200 lb-in. (a) Calculate the maximum shear stress Tmax in the tube, the shear modulus of elasticity G, and the maximum shear strain y max (in...
A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends. If the torques have magnitude T = 340 Nm, what is the maximum shear stress in the bar? What is the angle of twist between the ends? If the allowable shear stress is 42 MPa and the allowable angle of twist...
Aluminum Steel 22 Kip.ft 20 Kip.ft Question A 4 inch diameter composite shaft is subjected to the torques as shown. The section are perfectly bonded rigidly together. Use Gsteel = 11,600 ksi and Galuminum = 4000 ksi. Determine the maximum shearing stress in the shaft and the magnitude of the angle of twist of point D with respect to point A. 7.4 Kip.ft T - - 4.9ft 6.6 ft 3.3ft TP Shear Stress: t = Angle of Twist: Ø= Polar...
15. The free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index is 6. Determine the coil wire diameter and number of turns with the following data: Modulus of rigidity 80 GPa ; Modulus of elasticity 200 GPa; Allowable stress = 500 MPa. 15. The free end of a torsional spring deflects through 90° when subjected to a torque of 4 N-m. The spring index is 6. Determine the coil...
Q2: A homogeneous half-space pavement subjected to a circular load with 10-inch diameter. The pressure on the circular area is 50 psi. The pavement has elastic modulus 10,000 psi and Poisson ratio 0.3. Determine the vertical stress, deflection at point A which is located 10 inches below the center of the circular load, and surface deflection.
The following is the torque versus angle of twist diagram for a 0.75 inch diameter steel bar tested in torsion. The gage length of the bar is 3 inches. The angle of rotation and torque at points Q and P are (0.8 radian, 1500 in-lb) and (11.3 radian, 4000 in-lb) respectively. The power-law curve fitting relation for the data above the yield point is given by T = 329880.21, where T is in in-lb and e is in radian. Torque...
A solid bar of circular cross section has a diameter, d= 1.5 in., and length, L-54 shear modulus of elasticity, G11.5x 10spsi (see Figure 4). 4. in.. The da 1.5 in. L-54 in. Figure 4 (a) If a torque T 250 lb-ft is applied at the ends, find the values of maximum shear stress in the bar and the angle of twist between the ends of the bar. [10 marks] (b) If the allowable shear stress 6000 psi and the...
When the torque (or torque) of 1000 N·m is applied to the end of a circular drive shaft with a diameter of 50 mm, find the maximum shear stress (?_max) occurring in this shaft
1. A steel bar with solid circular cross section has a diameter d= 2.5 in., a length L = 60 in. and a shear modulus of elasticity G = 1 1.5 × 106 psi. The bar is subjected to torque T- 350 lb-ft as shown. (a) Find the angle of twist between the d 2.5 in (b) Find the maximum shear stress in the (c) Find the shear stress ta at a distance (d) Find the shear stress Tcenter at...