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Q-4 (25 pts A uniform bar of length (L), cross sectional area (A) and mass (m) is free to rotate about a frictionle...
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of...
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of 100 GPa. It is subjected to a uniformly distributed axial force q= 50 kN/m pointed to the left. An external axial force F= 20 kN, pointed to the left, is applied at the middle of the bar, x=L/2. a. What is the axial force P in the bar as a function of x? b. What is the bar's total change in length? ttttttttta x...
Problem 5 The cross-sectional area of teh prismatic bar is 0.02 m². If the normal and...
Problem 5 The cross-sectional area of teh prismatic bar is 0.02 m². If the normal and shear stresses on the plane P are o = 1.25 MPa and to = -1.5 MPa, what are the angle ( and the axial force P. Figure 5
A uniform wooden bar (M = 6.81 kg, L = 51.2 cm) is free to rotate...
A uniform wooden bar (M = 6.81 kg, L = 51.2
cm) is free to rotate about a frictionless axis in the center. If
forceF1 = 40 N acts at angle
θ1 = 67o at distance L/3
from the left end, and force F2 = 89.1 N acting
at angle θ2 = 59.8o on the right
end, calculate α, the angular acceleration of the bar, in
rad/s2. The direction is given by the sign: positive if
it is counter-clockwise, and...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about hinge at A. Att- 0, the initial angle is B 30 and the initial angular velocity SQUARED is 4.9 rads/s in the counter-clockwise direction. a) What are the hinge reaction forces, acceleration of the center of mass, angular velocity (squared) and angular acceleration as functions of B, b) what are the hinge reaction forces, acceleration of the center of mass...
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...
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...
The bar (m = 4 kg, l = 0.80 m) is pinned in the ground at...
The bar (m = 4 kg, l = 0.80 m) is pinned in the ground at O and is released from rest at an inclination theta = pi/4 rad. If the applied force is F = -F j, with F = 12 N, find the initial angular acceleration of the bar, and the reaction force acting at O.
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 bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of 100 GPa. It is subjected to a uniformly distributed axial force q= 50 kN/m pointed to the left. An external axial force F= 20 kN, pointed to the left, is applied at the middle of the bar, x=L/2. a. What is the axial force P in the bar as a function of x? b. What is the bar's total change in length? ttttttttta x...
Problem 5 The cross-sectional area of teh prismatic bar is 0.02 m². If the normal and shear stresses on the plane P are o = 1.25 MPa and to = -1.5 MPa, what are the angle ( and the axial force P. Figure 5
A uniform wooden bar (M = 6.81 kg, L = 51.2
cm) is free to rotate about a frictionless axis in the center. If
forceF1 = 40 N acts at angle
θ1 = 67o at distance L/3
from the left end, and force F2 = 89.1 N acting
at angle θ2 = 59.8o on the right
end, calculate α, the angular acceleration of the bar, in
rad/s2. The direction is given by the sign: positive if
it is counter-clockwise, and...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about hinge at A. Att- 0, the initial angle is B 30 and the initial angular velocity SQUARED is 4.9 rads/s in the counter-clockwise direction. a) What are the hinge reaction forces, acceleration of the center of mass, angular velocity (squared) and angular acceleration as functions of B, b) what are the hinge reaction forces, acceleration of the center of mass...
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...
The bar (m = 4 kg, l = 0.80 m) is pinned in the ground at O and is released from rest at an inclination theta = pi/4 rad. If the applied force is F = -F j, with F = 12 N, find the initial angular acceleration of the bar, and the reaction force acting at O.
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....
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