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 the total angle of twist in degrees using Equation (3–35).
(d) Assuming the tube does not yield, determine the total angle of twist in degrees using the closed thin-walled tube method. Compare this result to the result of part (c).
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A steel tube with a circular cross section has an outside
diameter of 300 mm and...
1. (15 pts) Athin walled tube of circular cross-section has an inner diameter of 60 mm,...
1. (15 pts) Athin walled tube of circular cross-section has an inner diameter of 60 mm, thickness of 2 mm, and a length of 3 m. a. Determine the maximum torque the tube can withstand if the angle of twist is limited to 6 degrees. b. If the tube is instead capped on both ends and pressurized to p - 20 MPa, calculate the circumferential and longitudinal stresses in the tube. Use G = 15 GPa
3. The thin-tube shown below has a cross section made of two isosceles triangles and and it is tw...
3. The thin-tube shown below has a cross section made of two isosceles triangles and and it is twisted as shown. Determine (a) The magnitude of the maximum shear stress T. Where does it oocur? (b) The polar moment of inertia J. (e) The angle of rotation ()cyp in degrees per unit length. G 750 GPa 1-33-m1600 N-m 6S0 N- 650 N-m 100 mm 200 mm 240 200 14.2a 56005
3. The thin-tube shown below has a cross section made...
The cross-section of a thin walled single cell tube is shown in Figure 1 below. The...
The cross-section of a thin walled single cell tube is shown in Figure 1 below. The tube supports a torque of T-3 kN.m over a length of 8 m. Consider G of the material as 79 GPa. 1. Determine the shear stresses in the walls and angle of twist 2. A vertical web of wall thickness of 2mm is added in the single cell to make it a two cell tube shown in Figure 2 below. Also determine the shear...
5. A 38-mm-diameter solid steel shaft, 2 m long, is subjected to a torque of 600...
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and an area A=50mm^2
and a
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is applied to the bar at a distance of l=2m
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a. Is this system statically determinate or
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a. The material of the cylinder first commences to
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1. (15 pts) Athin walled tube of circular cross-section has an inner diameter of 60 mm, thickness of 2 mm, and a length of 3 m. a. Determine the maximum torque the tube can withstand if the angle of twist is limited to 6 degrees. b. If the tube is instead capped on both ends and pressurized to p - 20 MPa, calculate the circumferential and longitudinal stresses in the tube. Use G = 15 GPa
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3. The thin-tube shown below has a cross section made...
The cross-section of a thin walled single cell tube is shown in Figure 1 below. The tube supports a torque of T-3 kN.m over a length of 8 m. Consider G of the material as 79 GPa. 1. Determine the shear stresses in the walls and angle of twist 2. A vertical web of wall thickness of 2mm is added in the single cell to make it a two cell tube shown in Figure 2 below. Also determine the shear...
5. A 38-mm-diameter solid steel shaft, 2 m long, is subjected to a torque of 600 N.m, as shown below. The steel is AISI 1020 hot-rolled. Calculate a) The maximum torsional shear stress b) The angle of twist, ?, in degrees, ifG2 79.3 x 10"MPas 79.3 x 10, N/m2 Te TL Recall radian 57.3 32 JG
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and an inside diameter of 40 mm. the tube is made of an aluminum
alloy with a minimum yield strength of 280 MPa. the bending load is
F =1.5 kN, the axial load is P = 10kN and the twisting moment is T
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point A using (a) the maximum shear stress theory and (b) the
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A circular cross section steel bar with a Young’s modulus
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and a
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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....
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yield.
b. Yielding progressed to mid-depth of the cylinder
wall (at D= 20 mm ).
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