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(1allow = (ta)allow = 80 MPa 65 MPa 35 mm 2.36x10 mm 75 GPa Shaft properties...
20 mm (t1)allow- 80MPa (T2 allow 95 MPa 0.25 ×106 mm" 75 GPa J1= 35 mm...
20 mm (t1)allow- 80MPa (T2 allow 95 MPa 0.25 ×106 mm" 75 GPa J1= 35 mm 322.36x106 mm 50 GPa 2500 mm 3000 mm T (kN-m A composite torsion member consists of two solid shafts joined at flange B. Shafts (1) and (2) are attached to rigid supports at A and c, respectively. 1 (MPa Using the allowable shear stresses indicated on the sketch, determine the maximum torque T that may be applied to flange B in the direction shown....
M6.19 Shear stresses in coaxial shafts scenes Note: J 3 G3 G2 40 mm C1 1.92x10...
M6.19 Shear stresses in coaxial shafts scenes Note: J 3 G3 G2 40 mm C1 1.92x10 mm* J1 (1) 10 kN-m G1 75 GPa (2) 34 mm (3) 2.10x10% mm 32 45 GPa 400 mm G2 400 mm Ti (kN-m) A composite torsion member consists of a tubular shell (1) bonded to length AB of a continuous solid shaft that extends from A to C, which is labeled (2) and (3). A concentrated torque T is applied to free end...
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...
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...
500 mm 1) A circular brass bar AC of diameter 100 mm is rigidly connected to...
500 mm 1) A circular brass bar AC of diameter 100 mm is rigidly connected to a circular steel bar CB of the same diameter as shown. The composite bar is rigidly held at its two ends A and B. A torque T is applied to the shaft at point C. Knowing that the allowable shear stresses in the brass and steel are 120 MPa and 250 MPa, respectively, determine the allowable torque Tallow. The shear moduli for brass and...
1) A circular brass bar AC of diameter 100 mm is rigidly connected to a circular...
1) A circular brass bar AC of diameter 100 mm is rigidly connected to a circular steel bar CB of the same diameter as shown. The composite bar is rigidly held at its two ends A and B. A torque T is applied to the shaft at point C. Knowing that the allowable shear stresses in the brass and steel are 120 MPa and 250 MPa, respectively, determine the allowable torque Tallow. The shear moduli for brass and steel are...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter shafts are coupled together using the perfectly meshed gears shown. Shaft DC is fixed to the wall at D and supported with a frictionless journal bearing. Shaft EF is supported with two frictionless journal bearings. The modulus of rigidity of steel is 80 GPa. Before the torque is applied, the angle of twist in each shaft is zero, and the angle of rotation of...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A a...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A and B subjecting the bars to torsion. If the allowable maximum shear stress is 35 MPa and the allowable rate of twist is 3°/m for both bars, determine the smallest outer diameter (D, and Di) of both bars. The shear modulus of elasticity is 39 GPa to the axes of the bars. Forces 15 kN...
160 mm 10 mm A hollow cylindrical steel shaft is 1.5 m long and has inner...
160 mm 10 mm A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters respectively equal to 40 and 60 mm. The allowable shearing stress is 120 MPa with a modulus of rigidity (shear modulus) G-77 GPa, assuming fully elastic deformation. (a) What is the largest torque that can be applied to the shaft? (5 points) (b) What is the corresponding minimum value of the shearing stress in the shaft? (5 points) (c) What are...
P6.041 A solid 66-mm-diameter cold-rolled brass G = 40.8 GPa) shaft that is 1.22 m long...
P6.041 A solid 66-mm-diameter cold-rolled brass G = 40.8 GPa) shaft that is 1.22 m long extends through and is completely bonded to a hollow aluminum LG = 27.5 GPa) tube. Aluminum tube (1) has an outside diameter of 89 mm, an inside diameter of 66 mm, and a length of 0.64 m. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. Assume L1=L2 = 0.64 m, L3= 0.58 m, To =...
20 mm (t1)allow- 80MPa (T2 allow 95 MPa 0.25 ×106 mm" 75 GPa J1= 35 mm 322.36x106 mm 50 GPa 2500 mm 3000 mm T (kN-m A composite torsion member consists of two solid shafts joined at flange B. Shafts (1) and (2) are attached to rigid supports at A and c, respectively. 1 (MPa Using the allowable shear stresses indicated on the sketch, determine the maximum torque T that may be applied to flange B in the direction shown....
M6.19 Shear stresses in coaxial shafts scenes Note: J 3 G3 G2 40 mm C1 1.92x10 mm* J1 (1) 10 kN-m G1 75 GPa (2) 34 mm (3) 2.10x10% mm 32 45 GPa 400 mm G2 400 mm Ti (kN-m) A composite torsion member consists of a tubular shell (1) bonded to length AB of a continuous solid shaft that extends from A to C, which is labeled (2) and (3). A concentrated torque T is applied to free end...
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...
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...
500 mm 1) A circular brass bar AC of diameter 100 mm is rigidly connected to a circular steel bar CB of the same diameter as shown. The composite bar is rigidly held at its two ends A and B. A torque T is applied to the shaft at point C. Knowing that the allowable shear stresses in the brass and steel are 120 MPa and 250 MPa, respectively, determine the allowable torque Tallow. The shear moduli for brass and...
1) A circular brass bar AC of diameter 100 mm is rigidly connected to a circular steel bar CB of the same diameter as shown. The composite bar is rigidly held at its two ends A and B. A torque T is applied to the shaft at point C. Knowing that the allowable shear stresses in the brass and steel are 120 MPa and 250 MPa, respectively, determine the allowable torque Tallow. The shear moduli for brass and steel are...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter shafts are coupled together using the perfectly meshed gears shown. Shaft DC is fixed to the wall at D and supported with a frictionless journal bearing. Shaft EF is supported with two frictionless journal bearings. The modulus of rigidity of steel is 80 GPa. Before the torque is applied, the angle of twist in each shaft is zero, and the angle of rotation of...
shown in Figure 2. Two circular disks A and B are welded to the ends of both bars. The disks lie in planes disks A and B subjecting the bars to torsion. If the allowable maximum shear stress is 35 MPa and the allowable rate of twist is 3°/m for both bars, determine the smallest outer diameter (D, and Di) of both bars. The shear modulus of elasticity is 39 GPa to the axes of the bars. Forces 15 kN...
160 mm 10 mm A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters respectively equal to 40 and 60 mm. The allowable shearing stress is 120 MPa with a modulus of rigidity (shear modulus) G-77 GPa, assuming fully elastic deformation. (a) What is the largest torque that can be applied to the shaft? (5 points) (b) What is the corresponding minimum value of the shearing stress in the shaft? (5 points) (c) What are...
P6.041 A solid 66-mm-diameter cold-rolled brass G = 40.8 GPa) shaft that is 1.22 m long extends through and is completely bonded to a hollow aluminum LG = 27.5 GPa) tube. Aluminum tube (1) has an outside diameter of 89 mm, an inside diameter of 66 mm, and a length of 0.64 m. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. Assume L1=L2 = 0.64 m, L3= 0.58 m, To =...
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