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4-44. A steel tube is used as a shaft carrying 5500 lb. in. of torque. The...
The torsional assembly in the Figure above consists of a cold-rolled stainless-steel tube AC with an...
The torsional assembly in the Figure above consists of a
cold-rolled stainless-steel tube AC with an outside diameter of 4
in., a wall thickness of 0.2 in., a shear modulus of G = 12,500
ksi, and an allowable shear stress of 35 ksi. The tube AC is
connected to a solid cold-rolled brass segment CD at the flange C
and has a diameter of 2.50 in., a shear modulus of G = 5,600 ksi,
and an allowable shear stress of...
A steel tube with a circular cross section has an outside diameter of 300 mm and...
A steel tube with a circular cross section has an outside diameter of 300 mm and wall thickness of 2 mm. The cylinder is twisted along its length of 2 m with a torque of 50 kN · m. (a) Determine the maximum torsional shear stress using Equation Theta= T*L/JG (b) Determine the maximum torsional shear stress using the closed thin-walled tube method. Compare this result to the result of part (a). (c) Assuming the tube does not yield, determine...
P6.074 The torsional assembly consists of a cold-rolled stainless steel tube connected to a solid cold-rolled...
P6.074 The torsional assembly consists of a cold-rolled stainless steel tube connected to a solid cold-rolled brass segment at flange C. The assembly is securely fastened to rigid supports at A and D Stainless steel tubes (1) and (2) have an outside diameter of 3.125 in, a wall thickness of 0.082 in., a shear modulus of G = 14200 ksi, and an allowable shear stress of 38 ksi. The solid brass segment (3) has a diameter of 1.3125 in., a...
A solid 1.50-in.-diameter brass [G = 6600 ksi] shaft (2) has been stiffened between A and...
A solid 1.50-in.-diameter brass [G = 6600 ksi] shaft (2) has been stiffened between A and B by the addition of an aluminum-alloy tube (1). The tube has an outside diameter of D1 2.50 in., a wall thickness of t10.10 in., a length of L 12 in., and a shear modulus of G- 3900 ksi. The tube is attached to the brass shaft by means of rigid flanges welded to the tube and to the shaft. (The thickness of the...
A hollow circular steel shaft has a 100-mm outside diameter and a 75-mm inside diameter. Calculate...
A hollow circular steel shaft has a 100-mm outside diameter and a 75-mm inside diameter. Calculate the allowable torque that can be transmitted if the allowable shear stress is 62 MPa. When the allowable torque is applied, calculate the shear stress at the inner surface of the shaft.
P6.042 The composite shaft shown in the figure consists of two steel pipes that are connected...
P6.042 The composite shaft shown in the figure consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 173 mm and a wall thickness of 6 mm. Steel pipe (2) has an outside diameter of 101 mm and a wall thickness of 7 mm. Both pipes are 3.4 m long and have a shear modulus of 80 GPa. If a concentrated...
Problem 1 (25 Points) Two solid steel (6-80 GPa) shafts are connected by the gears shown. Shaft (1) has a diameter of 45 mm, and shaft (2) has an outside diameter of 55 mm and wall thickness 4 mm...
Problem 1 (25 Points) Two solid steel (6-80 GPa) shafts are connected by the gears shown. Shaft (1) has a diameter of 45 mm, and shaft (2) has an outside diameter of 55 mm and wall thickness 4 mm. Assume that the bearings shown allow free rotation of the shafts. If a 400 N-m torque is applied at gear D, determine (a) the maximum shear stress magnitudes in each shaft. (b) the angles of twist ф, and ф (c) the...
9.3-11 A circular tube of aluminum is subjected to torsion by torques T applied at the...
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 steel pipe of 3.5-in. outer diameter is to be used to transmit a torque of...
A steel pipe of 3.5-in. outer diameter is to be used to transmit a torque of 2950 lb-ft without exceeding an allowable shearing stress of 8 ksi. A series of 3.5-in-outer-diameter pipes is available for use. Knowing that the wall thickness of the available pipes varies from 0.25 in. to 0.50 in. in 0.0625-in. increments, choose the lightest pipe that can be used. 3.5 in. Click to select) (Click to select) Use the pipe with thickness = 0.4375 in. Use...
A solid shaft 32 inches long must carry a torque of 5600 lb-in. The shaft is...
A solid shaft 32 inches long must carry a torque of 5600 lb-in. The shaft is made out of aluminum. Aluminum shafts come in increments of 1/16th inch increments between diameter of 0.25 and 2.5 inches. Determine: a) the required size and cost of an aluminum shaft based on the below design criteria. Allow Shear Stress (ksi) Allow Angle of Twist (deg.) Density (lb/ft3) Cost per Pound ($) Modulus of Rigidity (ksi) Aluminum 18 4.5 169 0.75 4000 Design...
The torsional assembly in the Figure above consists of a
cold-rolled stainless-steel tube AC with an outside diameter of 4
in., a wall thickness of 0.2 in., a shear modulus of G = 12,500
ksi, and an allowable shear stress of 35 ksi. The tube AC is
connected to a solid cold-rolled brass segment CD at the flange C
and has a diameter of 2.50 in., a shear modulus of G = 5,600 ksi,
and an allowable shear stress of...
P6.074 The torsional assembly consists of a cold-rolled stainless steel tube connected to a solid cold-rolled brass segment at flange C. The assembly is securely fastened to rigid supports at A and D Stainless steel tubes (1) and (2) have an outside diameter of 3.125 in, a wall thickness of 0.082 in., a shear modulus of G = 14200 ksi, and an allowable shear stress of 38 ksi. The solid brass segment (3) has a diameter of 1.3125 in., a...
A solid 1.50-in.-diameter brass [G = 6600 ksi] shaft (2) has been stiffened between A and B by the addition of an aluminum-alloy tube (1). The tube has an outside diameter of D1 2.50 in., a wall thickness of t10.10 in., a length of L 12 in., and a shear modulus of G- 3900 ksi. The tube is attached to the brass shaft by means of rigid flanges welded to the tube and to the shaft. (The thickness of the...
P6.042 The composite shaft shown in the figure consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 173 mm and a wall thickness of 6 mm. Steel pipe (2) has an outside diameter of 101 mm and a wall thickness of 7 mm. Both pipes are 3.4 m long and have a shear modulus of 80 GPa. If a concentrated...
Problem 1 (25 Points) Two solid steel (6-80 GPa) shafts are connected by the gears shown. Shaft (1) has a diameter of 45 mm, and shaft (2) has an outside diameter of 55 mm and wall thickness 4 mm. Assume that the bearings shown allow free rotation of the shafts. If a 400 N-m torque is applied at gear D, determine (a) the maximum shear stress magnitudes in each shaft. (b) the angles of twist ф, and ф (c) the...
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 steel pipe of 3.5-in. outer diameter is to be used to transmit a torque of 2950 lb-ft without exceeding an allowable shearing stress of 8 ksi. A series of 3.5-in-outer-diameter pipes is available for use. Knowing that the wall thickness of the available pipes varies from 0.25 in. to 0.50 in. in 0.0625-in. increments, choose the lightest pipe that can be used. 3.5 in. Click to select) (Click to select) Use the pipe with thickness = 0.4375 in. Use...
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