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2- The bar shown in the image has a circular cross-section and consists of two sections:...
2- The bar shown in the image has a circular cross-section and consists of two sections:...
2- The bar shown in the image has a circular cross-section and consists of two sections: one with a constant radius Ri, and the other with a constant radius of R2. A torque of Ti is applied at x=L/2, and a torque of T2 is applied at x=L. a) Calculate and plot the diagram for the internal torque along z. (10 points) b) Calculate and plot the diagrams for the maximum shear stress and strain along z. (10 points) c)...
2- The bar shown in the image has a circular cross-section and consists of two sections:...
2- The bar shown in the image has a circular cross-section and consists of two sections: one with a constant radius Ri, and the other with a constant radius of R2. A torque of Ti is applied at x=L/2, and a torque of T2 is applied at x=L. a) Calculate and plot the diagram for the internal torque along z. (10 points) b) Calculate and plot the diagrams for the maximum shear stress and strain along z. (10 points) c)...
A circular cross section steel bar with a Young’s modulus E=2.1x10^11 N/m^2 and an area A=50mm^2...
A circular cross section steel bar with a Young’s modulus
E=2.1x10^11 N/m^2
and an area A=50mm^2
and a
length L=3m
is installed horizontally between and welded to two walls.
Assuming that a torque of M=5,000Nm
is applied to the bar at a distance of l=2m
from the left wall please answer the following:
a. Is this system statically determinate or
indeterminate?
b. Determine:
i. What are the reactions from the walls?
ii. Plot the variation of torque in the bar....
(7.21) An elastic circular bar is fixed at one end and attached to a rubber grommet...
(7.21) An elastic circular bar is fixed at one end and attached to a rubber grommet at the other end The grommet functions as a torsional spring with spring constant k. If a concentrated torque of mag- nitude Ta is applied in the center of the bar, what is the rotation at the end of the bar, ?(L)? Assume a constant shear modulus G and polar inom ent of inertia J L/2 T,
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...
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 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...
Element 1 is a steel bar that has a circular cross-section with a radius of 30...
Element 1 is a steel bar that has a circular cross-section with a radius of 30 mm. Element 2 is an aluminum bar that has a circular cross-section with a radius of 50 mm. Element 3 is a steel bar that has a circular cross- section with a radius of 60 mm. Assume for steel, the moduļus, E, is 2.0E11 Pa, and the density, p, is 7800 kg/m3. Assume for aluminum, E-7.0E10 Pa, and p-2700 kg/m3. The rigid, massless rod...
14) The bar in Figure 6 has a circular cross section. A change in length of...
14) The bar in Figure 6 has a circular cross section. A change in length of 0.06 inches was measured in the y-direction. A strain of -417(10) was measured in the x-direction. Calculate the Poisson's Ratio for the material. d 0.25 in. P 2 ft A. 0.224 B. 0.195 Figure 6 C. 0.247 D. 0.167 15) The bar in Figure 6 experiences a temperature increase of 26°F. Calculate the change in length of the bar if P 0, E 27,000...
9.2-6 A circular aluminum tube subjected to pure Wrsion by torques T (see figure) has an...
9.2-6 A circular aluminum tube subjected to pure Wrsion by torques T (see figure) has an outer radius 12 equal to 1.5 times the inner radius r;. (a) If the maximum shear strain in the tube is mea- sured as 400 x 10-6 rad, what is the shear strain y, at the inner surface? (b) If the maximum allowable rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 x 10 rad by...
2- The bar shown in the image has a circular cross-section and consists of two sections: one with a constant radius Ri, and the other with a constant radius of R2. A torque of Ti is applied at x=L/2, and a torque of T2 is applied at x=L. a) Calculate and plot the diagram for the internal torque along z. (10 points) b) Calculate and plot the diagrams for the maximum shear stress and strain along z. (10 points) c)...
2- The bar shown in the image has a circular cross-section and consists of two sections: one with a constant radius Ri, and the other with a constant radius of R2. A torque of Ti is applied at x=L/2, and a torque of T2 is applied at x=L. a) Calculate and plot the diagram for the internal torque along z. (10 points) b) Calculate and plot the diagrams for the maximum shear stress and strain along z. (10 points) c)...
A circular cross section steel bar with a Young’s modulus
E=2.1x10^11 N/m^2
and an area A=50mm^2
and a
length L=3m
is installed horizontally between and welded to two walls.
Assuming that a torque of M=5,000Nm
is applied to the bar at a distance of l=2m
from the left wall please answer the following:
a. Is this system statically determinate or
indeterminate?
b. Determine:
i. What are the reactions from the walls?
ii. Plot the variation of torque in the bar....
(7.21) An elastic circular bar is fixed at one end and attached to a rubber grommet at the other end The grommet functions as a torsional spring with spring constant k. If a concentrated torque of mag- nitude Ta is applied in the center of the bar, what is the rotation at the end of the bar, ?(L)? Assume a constant shear modulus G and polar inom ent of inertia J L/2 T,
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...
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...
Element 1 is a steel bar that has a circular cross-section with a radius of 30 mm. Element 2 is an aluminum bar that has a circular cross-section with a radius of 50 mm. Element 3 is a steel bar that has a circular cross- section with a radius of 60 mm. Assume for steel, the moduļus, E, is 2.0E11 Pa, and the density, p, is 7800 kg/m3. Assume for aluminum, E-7.0E10 Pa, and p-2700 kg/m3. The rigid, massless rod...
14) The bar in Figure 6 has a circular cross section. A change in length of 0.06 inches was measured in the y-direction. A strain of -417(10) was measured in the x-direction. Calculate the Poisson's Ratio for the material. d 0.25 in. P 2 ft A. 0.224 B. 0.195 Figure 6 C. 0.247 D. 0.167 15) The bar in Figure 6 experiences a temperature increase of 26°F. Calculate the change in length of the bar if P 0, E 27,000...
9.2-6 A circular aluminum tube subjected to pure Wrsion by torques T (see figure) has an outer radius 12 equal to 1.5 times the inner radius r;. (a) If the maximum shear strain in the tube is mea- sured as 400 x 10-6 rad, what is the shear strain y, at the inner surface? (b) If the maximum allowable rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 x 10 rad by...
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