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In-class Problem . Determine the diameter of the shafts: Both shafts have the same diameter 6...
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...
L2 B r3 L1 T 12 r Consider the torsion spring above. The shafts have shear...
L2 B r3 L1 T 12 r Consider the torsion spring above. The shafts have shear moduli of Gen- ?? ksi, GAn 15,000 ksi, and consists of a solid inner shaft CB which is surrounded by and attached to a tube AB using a rigid ring at B. The ring at A can also be assumed rigid and is fixed from rotating. The geometry is given as r, 0.50 in, r, 1.0 in, r-0.8 in, and L, 12 in and...
1. A steel bar with solid circular cross section has a diameter d= 2.5 in., a...
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...
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...
P6.18 The gear train system shown in Figure P6.18/19 includes shafts (1) and (2), which are...
P6.18 The gear train system shown in Figure P6.18/19 includes shafts (1) and (2), which are solid 15 mm diameter steel shafts. The allowable shear stress of each shaft is 85 MPa. The diameter of gear B is Ds 200 mm, and the diameter of gear C is Dc 150 mm. The bearings shown allow the shafts to rotate freely. Determine the maximum torque TD that can be applied to the system without exceeding the allowable shear stress in either...
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...
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 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 tor...
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...
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus...
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus of elasticity is 3x106 psi for concrete and 29x106 psi for steel. Find the tensile stress in rebars and maximum compressive stress in concrete under an external bending moment of (a) 80 kip.in and (b) 240 kip.in. Given the compressive strength of concrete fe' = 3 ksi and yield stress of rebars fy = 60 ksi, discuss the state of crack in concrete and...
I will rate you 2. A compound shaft consists of two solid shafts that re connected...
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2. A compound shaft consists of two solid shafts that re connected at flange B and se attached to rigid walls at A and C. Shaft (1) is a 3.00-in-diameter solid aluminum [G 4000 ksi] shaft that is 60 in. long. Shaft (2) is a 2.00-in-diameter solid bronze [G- 6500 ksi] shaft that is 40 in. long. If a concentrated torque of 32 kip-in is applied at flange B, determine: (a) The maximum shear stress magnitudes...
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...
L2 B r3 L1 T 12 r Consider the torsion spring above. The shafts have shear moduli of Gen- ?? ksi, GAn 15,000 ksi, and consists of a solid inner shaft CB which is surrounded by and attached to a tube AB using a rigid ring at B. The ring at A can also be assumed rigid and is fixed from rotating. The geometry is given as r, 0.50 in, r, 1.0 in, r-0.8 in, and L, 12 in and...
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...
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...
P6.18 The gear train system shown in Figure P6.18/19 includes shafts (1) and (2), which are solid 15 mm diameter steel shafts. The allowable shear stress of each shaft is 85 MPa. The diameter of gear B is Ds 200 mm, and the diameter of gear C is Dc 150 mm. The bearings shown allow the shafts to rotate freely. Determine the maximum torque TD that can be applied to the system without exceeding the allowable shear stress in either...
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...
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 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...
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus of elasticity is 3x106 psi for concrete and 29x106 psi for steel. Find the tensile stress in rebars and maximum compressive stress in concrete under an external bending moment of (a) 80 kip.in and (b) 240 kip.in. Given the compressive strength of concrete fe' = 3 ksi and yield stress of rebars fy = 60 ksi, discuss the state of crack in concrete and...
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2. A compound shaft consists of two solid shafts that re connected at flange B and se attached to rigid walls at A and C. Shaft (1) is a 3.00-in-diameter solid aluminum [G 4000 ksi] shaft that is 60 in. long. Shaft (2) is a 2.00-in-diameter solid bronze [G- 6500 ksi] shaft that is 40 in. long. If a concentrated torque of 32 kip-in is applied at flange B, determine: (a) The maximum shear stress magnitudes...
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