Homework Answers
Answer- maximum shear stress in bar= 79.577Mpa
Maximum shear stress in tube= 17.196Mpa
Total angle of twist= 89.33 degree
Angle of twist in rod= 1.4737 radians
Angle of twist in tube= 0.0854 radians
Details solutions is given below
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(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with...
The solid shaft shown in Figure 5.1 is made of an aluminium alloy 6061-T6, assumed to...
The solid shaft shown in Figure 5.1 is made of an aluminium alloy 6061-T6, assumed to be elastoplastic with G = 26 GPa and yield shear strength ty= 140 (a) i. The torque T required to initiate yielding The radius of elastic core if the torque T is increased 15% of case (1) Angle of twist at the free end to reach case (ii) (8 marks) 1.2 m 36 mm
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...
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 solid steel bar of diameter d; = 25.0 mm is enclosed by a steel...
1. A solid steel bar of diameter d; = 25.0 mm is enclosed by a steel tube of outer diameter d3 = 37.5 mm and inner diameter d2 = 30.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar has a length L = 600 mm and is twisted Tube by a torque T = 400 N-m acting on the...
The assembly is composed of a solid steel alloy rod (Est200 GPa; Vst- 0.32) inside a...
The assembly is composed of a solid steel alloy rod (Est200 GPa; Vst- 0.32) inside a hollow copper alloy tube (Ecu 101 GPa; vst 0.35). Both the rod and the tube are fixed to a rigid support at A. The length of the assembly is 0.5 m. As shown in figure (b), the diameter of the rod is d1 60 mm, and the outer diameter of the tube is d2-90 mm. The inner diameter of the tube is 70 mm...
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...
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...
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjec...
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2. The thickness is 5 mm. The modulus of elasticity, E-70 GPa, the Poisson's ratio, 0.3. Determine the maximum deflection of the plate using the first order shear d eformation eory.
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2....
The hollow thin-walled hollow section of aluminium alloy illustrated below is 1200 mm long. It has one free end and the...
The hollow thin-walled hollow section of aluminium alloy
illustrated below is 1200 mm long. It has one free end and the
other is built into a solid wall. At the free end, the following
loads are applied in the directions illustrated and distributed
evenly over the perimeter of the section:- A central, axial
compressive load, P = 10 kN; and A torque, T = 0.2 kN.m. Properties
of the aluminium alloy are given as E = 72 GPa and =...
Question 2: Torsion (30 marks) An aluminium alloy section illustrated in Figure 2 (dimensions in mm)...
Question 2: Torsion (30 marks)
An aluminium alloy section illustrated in Figure 2 (dimensions
in mm) is subjected to a torsion load of 340 N.m. The length of the
section that carries this torsion load is 2.2 m, and the modulus of
rigidity for the aluminium is 27 GPa.
(a) Determine the maximum shear stress in the section. [15
marks]
(b) Calculate the angle of twist (expressed in degrees). [15
marks]
42.0 30.0 25.0 Figure 2. Section of torsion member...
The solid shaft shown in Figure 5.1 is made of an aluminium alloy 6061-T6, assumed to be elastoplastic with G = 26 GPa and yield shear strength ty= 140 (a) i. The torque T required to initiate yielding The radius of elastic core if the torque T is increased 15% of case (1) Angle of twist at the free end to reach case (ii) (8 marks) 1.2 m 36 mm
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...
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 solid steel bar of diameter d; = 25.0 mm is enclosed by a steel tube of outer diameter d3 = 37.5 mm and inner diameter d2 = 30.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar has a length L = 600 mm and is twisted Tube by a torque T = 400 N-m acting on the...
The assembly is composed of a solid steel alloy rod (Est200 GPa; Vst- 0.32) inside a hollow copper alloy tube (Ecu 101 GPa; vst 0.35). Both the rod and the tube are fixed to a rigid support at A. The length of the assembly is 0.5 m. As shown in figure (b), the diameter of the rod is d1 60 mm, and the outer diameter of the tube is d2-90 mm. The inner diameter of the tube is 70 mm...
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...
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2. The thickness is 5 mm. The modulus of elasticity, E-70 GPa, the Poisson's ratio, 0.3. Determine the maximum deflection of the plate using the first order shear d eformation eory.
A square plate made of aluminium with a-200 mm is simply supported at its all edges and is subjected to a uniform pressure, po-28900 N/m2....
The hollow thin-walled hollow section of aluminium alloy
illustrated below is 1200 mm long. It has one free end and the
other is built into a solid wall. At the free end, the following
loads are applied in the directions illustrated and distributed
evenly over the perimeter of the section:- A central, axial
compressive load, P = 10 kN; and A torque, T = 0.2 kN.m. Properties
of the aluminium alloy are given as E = 72 GPa and =...
Question 2: Torsion (30 marks)
An aluminium alloy section illustrated in Figure 2 (dimensions
in mm) is subjected to a torsion load of 340 N.m. The length of the
section that carries this torsion load is 2.2 m, and the modulus of
rigidity for the aluminium is 27 GPa.
(a) Determine the maximum shear stress in the section. [15
marks]
(b) Calculate the angle of twist (expressed in degrees). [15
marks]
42.0 30.0 25.0 Figure 2. Section of torsion member...
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