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7. (5 points) A solid circular bar having diameter d is to be replaced by a...
A solid steel bar of circular cross section has diameter d = 40 mm, length L...
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...
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...
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...
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...
6. Two thin-walled circular tubes, one having a seamless section, the other a split section as...
6. Two thin-walled circular tubes, one having a seamless section, the other a split section as shown in Fig. P6, are subjected to the action of identical twiisting moments. Both tubes have equal outer diameters do, inner diameter di, and thickness t. What will be the ratio of the angles of twist bewteen the seamless tube, 0,, and that of split tube, 8z, i.e., the value of ? (a)). (b)) (c)(h), (d) }). (e) none of above 02 May =-...
1. A solid steel bar of diameter d; = 25.0 mm is enclosed by a steel...
1. A solid steel bar of diameter d; = 25.0 mm is enclosed by a steel tube of outer diameter d3 = 37.5 mm and inner diameter d2 = 30.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar has a length L = 600 mm and is twisted Tube by a torque T = 400 N-m acting on the...
8.5-3 A solid circular bar is fixed at point A. The bar is subjected to transverse...
8.5-3 A solid circular bar is fixed at point A. The bar is subjected to transverse load V-701b and torque T-300 lb-in. at point B. The bar has a length L 60 in. and diameter d - 3 in. Calculate the prin- cipal normal stresses and the maximum shear stress at element 1 located on the bottom surface of the bar at fixed end A (see figure) Assume that element 1 is a sufficient distance from support A so that...
A ships solid circular drive shaft... A ships solid circular drive shaft is of diameter, d...
A ships solid circular drive shaft...
A ships solid circular drive shaft is of diameter, d 53 mm, and is subjected to a torque, T= 1512 Nm and an axial force, F-134 kN as shown. The shaft is made of steel with a yield stress of 350 MPa. Determine the Factor of Safety (accurate to two decimal places), according to Tresca's maximum shear stress failure theory. (Hint: Based on the state of stress in a surface element, consider Mohr's circle...
(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with...
(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with shear modulus of elasticity of 27 GPa. Analyse the structure and explain the type of stress experienced by the circular tube and solid circular bar. Determine the maximum shear stresses in both the bar and tube, and determine the angle of twist (in degrees) at end A of the bar. Given I tube = 1.0848 x 10 mm. 500 cm 500 cm Tube thickness...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
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...
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...
6. Two thin-walled circular tubes, one having a seamless section, the other a split section as shown in Fig. P6, are subjected to the action of identical twiisting moments. Both tubes have equal outer diameters do, inner diameter di, and thickness t. What will be the ratio of the angles of twist bewteen the seamless tube, 0,, and that of split tube, 8z, i.e., the value of ? (a)). (b)) (c)(h), (d) }). (e) none of above 02 May =-...
1. A solid steel bar of diameter d; = 25.0 mm is enclosed by a steel tube of outer diameter d3 = 37.5 mm and inner diameter d2 = 30.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar has a length L = 600 mm and is twisted Tube by a torque T = 400 N-m acting on the...
8.5-3 A solid circular bar is fixed at point A. The bar is subjected to transverse load V-701b and torque T-300 lb-in. at point B. The bar has a length L 60 in. and diameter d - 3 in. Calculate the prin- cipal normal stresses and the maximum shear stress at element 1 located on the bottom surface of the bar at fixed end A (see figure) Assume that element 1 is a sufficient distance from support A so that...
A ships solid circular drive shaft...
A ships solid circular drive shaft is of diameter, d 53 mm, and is subjected to a torque, T= 1512 Nm and an axial force, F-134 kN as shown. The shaft is made of steel with a yield stress of 350 MPa. Determine the Factor of Safety (accurate to two decimal places), according to Tresca's maximum shear stress failure theory. (Hint: Based on the state of stress in a surface element, consider Mohr's circle...
(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with shear modulus of elasticity of 27 GPa. Analyse the structure and explain the type of stress experienced by the circular tube and solid circular bar. Determine the maximum shear stresses in both the bar and tube, and determine the angle of twist (in degrees) at end A of the bar. Given I tube = 1.0848 x 10 mm. 500 cm 500 cm Tube thickness...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
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