The uniform two-cell tube with variable thickness, shown in Figure Q4, is 2m long and subjected to a pure axial torque of T(kNm). The section is symmetric about the x-axis. The dimensions of the cells are depicted in Fig. Q4 where t=1mm and a=100mm. As a result of the applied torque, the tube twists for 1° degree. The material is aluminum and the partition panel AB is made of Titanium. The shear moduli of elasticity of the materials are: GT 1.3 G-39GPa.

The uniform two-cell tube with variable thickness, shown in Figure Q4, is 2m long and subjected to a pure axial torque of T(kNm). The section is symmetric about the x-axis. The dimensions of the cells are depicted in Fig. Q4 where t=1mm and a=100mm. As a result of the applied torque, the tube twists for 1° degree. The material is aluminum and the partition panel AB is made of Titanium. The shear moduli of elasticity of the materials are: GT 1.3 G-39GPa.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

4.
MACE21211
The uniform two-cell tube with variable thickness, shown in Figure Q4, is 2m long and
subjected to a pure axial torque of T(kNm). The section is symmetric about the x-axis.
The dimensions of the cells are depicted in Fig. Q4 where t=1mm and a-100mm. As a result
of the applied torque, the tube twists for 1° degree. The material is aluminum and the
partition panel AB is made of Titanium. The shear moduli of elasticity of the materials are:
G₁=1.3 Ga=39GPa.
Determine,
i)
ii)
iii)
iv)
the shear flow in each cell.
the applied torque.
the maximum shear stress and its location.
the total strain energy stored.
A
га
y
1.5t
Fax
Cell-1 Cell-2
B
Figure Q4
O
a
10.8t
0.8t
X+

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