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In the case of a cylindrical copper rod with built-in two ends, the shear safety, stress...
Problem #1 A cylindrical rod of copper (E 110 GPa) having a yield strength of 240...
Problem #1 A cylindrical rod of copper (E 110 GPa) having a yield strength of 240 MPa is to be subjected to a load of 6660 N. If the length of the rod is 380 mm, what must the diameter be to allow an elongation of 0.50 mm? A cylindrical specimen of some alloy 8 mm in diameter is stressed elastically in tension. A force of 15,700 N produces a reduction in the specimen diameter of 5 10-3 mm. Compute...
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....
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...
3. A rod consisting of two cylindrical portions AB and BC is restrained at both ends,...
3. A rod consisting of two cylindrical portions AB and BC is restrained at both ends, as shown in figure Q3 below. Portion AB is made of brass (E 105 Gpa, and ь-20.9 x 10-6 per °C) and portion BC is made out of aluminum (Eb 72 Gpa, and otb 23.9 x 106 per °C). The rod is initially unstressed at room temperature of 20 °C. If the temperature changes to 62 °C, find: a) the resulting normal stress in...
A non prismatic ABCD rod consists of a solid circular section segment given 3 pieces of...
A
non prismatic ABCD rod consists of a solid circular section segment
given 3 pieces of torque as shown. The given torque is M=1500,
N=1100, O=900 in Nm. Segments are divided equal length by length
600 mm. The diameters of each segment are a=80, b=65, and c=55 in
mm. The rods are made of steel with a sliding modulus of G = 80000
MPa. Calculate the maximum shear stress from the bar. Also
calculate the angle of rotation (in degrees)...
A beam may have zero shear stress at a section but may not have zero deflection;...
A beam may have zero shear stress at a section but may not have zero deflection; Hence, bending is primarily caused by bending moment In Torsion loading a stress element in a circular rod is subject to shear state The principal plane and the plane on which the shear stresses are maximum, they make 90 degree angle between them. If the Torque on a steel circular shaft (G=80 GPa) is 13.3 kN-m and the allowable shear stress is 98 MPa,...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter of b = 101 mm and a flat plate BC with a force P = 77 N applied at point C as shown. Let c = 473 mm, d = 126 mm, and e = 148 mm (Treat the handle as if it were a cantilever...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter fb = 105 mm and a flat plate BC with a force P = 76 N applied at point C as shown. Let c = 543 mm, d = 125 mm, and e = 145 mm. (Treat the handle as if it were a cantilever beam.)...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter fb = 105 mm and a flat plate BC with a force P = 76 N applied at point C as shown. Let c = 543 mm, d = 125 mm, and e = 145 mm. (Treat the handle as if it were a cantilever beam.)...
Figure Q1 The jib crane is pinned at A and supports a chain hoist that can travel along the bottom flange of the a) the force in rod BC b) the minimum diameter of rod BC (to the nearest 5 mm)....
Figure Q1 The jib crane is pinned at A and supports a chain hoist that can travel along the bottom flange of the a) the force in rod BC b) the minimum diameter of rod BC (to the nearest 5 mm). c) the minimum diameter of pin B (to the nearest 5 mm). The material properties are listed in Table Q2 and use factor of safety of FS-2 (10 marks) beam boist Figure Q2 Table Q2: Material properties (MPa) Shear...
Problem #1 A cylindrical rod of copper (E 110 GPa) having a yield strength of 240 MPa is to be subjected to a load of 6660 N. If the length of the rod is 380 mm, what must the diameter be to allow an elongation of 0.50 mm? A cylindrical specimen of some alloy 8 mm in diameter is stressed elastically in tension. A force of 15,700 N produces a reduction in the specimen diameter of 5 10-3 mm. Compute...
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....
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...
3. A rod consisting of two cylindrical portions AB and BC is restrained at both ends, as shown in figure Q3 below. Portion AB is made of brass (E 105 Gpa, and ь-20.9 x 10-6 per °C) and portion BC is made out of aluminum (Eb 72 Gpa, and otb 23.9 x 106 per °C). The rod is initially unstressed at room temperature of 20 °C. If the temperature changes to 62 °C, find: a) the resulting normal stress in...
A
non prismatic ABCD rod consists of a solid circular section segment
given 3 pieces of torque as shown. The given torque is M=1500,
N=1100, O=900 in Nm. Segments are divided equal length by length
600 mm. The diameters of each segment are a=80, b=65, and c=55 in
mm. The rods are made of steel with a sliding modulus of G = 80000
MPa. Calculate the maximum shear stress from the bar. Also
calculate the angle of rotation (in degrees)...
A beam may have zero shear stress at a section but may not have zero deflection; Hence, bending is primarily caused by bending moment In Torsion loading a stress element in a circular rod is subject to shear state The principal plane and the plane on which the shear stresses are maximum, they make 90 degree angle between them. If the Torque on a steel circular shaft (G=80 GPa) is 13.3 kN-m and the allowable shear stress is 98 MPa,...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter of b = 101 mm and a flat plate BC with a force P = 77 N applied at point C as shown. Let c = 473 mm, d = 126 mm, and e = 148 mm (Treat the handle as if it were a cantilever...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter fb = 105 mm and a flat plate BC with a force P = 76 N applied at point C as shown. Let c = 543 mm, d = 125 mm, and e = 145 mm. (Treat the handle as if it were a cantilever beam.)...
Learning Goal: To calculate torsional deformation and shear stress due to an applied force in a door handle design. A locked door handle is composed of a solid circular shaft AB with a diameter fb = 105 mm and a flat plate BC with a force P = 76 N applied at point C as shown. Let c = 543 mm, d = 125 mm, and e = 145 mm. (Treat the handle as if it were a cantilever beam.)...
Figure Q1 The jib crane is pinned at A and supports a chain hoist that can travel along the bottom flange of the a) the force in rod BC b) the minimum diameter of rod BC (to the nearest 5 mm). c) the minimum diameter of pin B (to the nearest 5 mm). The material properties are listed in Table Q2 and use factor of safety of FS-2 (10 marks) beam boist Figure Q2 Table Q2: Material properties (MPa) Shear...
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