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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 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 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....
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is...
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is shown in Figure 2. The speed of the shaft is 1200 rpm. The shear modulus (G) of steel may be taken as 80 GPa C (a) Sketch the torque diagram; (b) Determine the maximum shear stress in the shaft (c) Calculate the angle of twist between the two ends of the shaft 1.2 m 1.8 m 6 kW 11 kW A Тв TA Tc...
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...
9.3-11 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...
1. The circular bar has a length of 12 ft-o in., a diameter of 1 in.,...
1. The circular bar has a length of 12 ft-o in., a diameter of 1 in., and a modulus of elasticity E = 29x10 psi. It is subjected to an axial force of 10,000 lbs along the centroidal axis of the bar's cross-sectional area as shown. Find the following: (i) Average normal stress and average shear stress at section a-a (ii) Average normal stress and average shear stress at section b-b (iii) The bar total elongation 10,000 lbs 10,000 lbs...
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25...
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25 mm. LBc 500mm and Lco 250mm. The torques experienced by the shaft are T1 300Nm T2 = 550Nm and T3 = 250Nm. The modulus of rigidity of the material is G- 100GPa BC CD Figure Q3 a) Find the values of the internal torques TBc and Tco taking the anticlockwise direction as positive b) What is the maximum shear stress experienced by the shaft?...
(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...
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...
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 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....
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is shown in Figure 2. The speed of the shaft is 1200 rpm. The shear modulus (G) of steel may be taken as 80 GPa C (a) Sketch the torque diagram; (b) Determine the maximum shear stress in the shaft (c) Calculate the angle of twist between the two ends of the shaft 1.2 m 1.8 m 6 kW 11 kW A Тв TA Tc...
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...
9.3-11 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...
1. The circular bar has a length of 12 ft-o in., a diameter of 1 in., and a modulus of elasticity E = 29x10 psi. It is subjected to an axial force of 10,000 lbs along the centroidal axis of the bar's cross-sectional area as shown. Find the following: (i) Average normal stress and average shear stress at section a-a (ii) Average normal stress and average shear stress at section b-b (iii) The bar total elongation 10,000 lbs 10,000 lbs...
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25 mm. LBc 500mm and Lco 250mm. The torques experienced by the shaft are T1 300Nm T2 = 550Nm and T3 = 250Nm. The modulus of rigidity of the material is G- 100GPa BC CD Figure Q3 a) Find the values of the internal torques TBc and Tco taking the anticlockwise direction as positive b) What is the maximum shear stress experienced by the shaft?...
(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...
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...
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