An aluminum alloy tube is shrunk onto a steel rod, forming a shaft that acts as a unit. This shaft is 40 in long and has the cross section shown in the figure. Assume elastic behavior and let Est = 3EA1 = 30 X 103 ksi. (a) What stresses would be caused by applying a torque of T = 200 k-in? Show the shear stress distribution and determine the torsional stiffness and flexibility of the shaft.

Q: A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside…

A: A) Angle of twist for the given max shear stress in a hollow shaft: The angle of twist of a hollow…

Q: A solid steel bar of circular cross section has diameter d =2.5 in., L = 60 in., and shear modulus…

A:

Q: As shown in the figure, a force P-150N and a torsional moment T=400N.m are applied on the free end…

A: Draw the free-body diagram of the shaft.

Q: A composite shaft of aluminum and brass shown in Figure P2 is subjected to a torque T at the free…

A:

Q: (A) Q: A 400 mm external diameter steel cylinder with a nominal internal diameter of 240 mm is…

A: (1) To find: The tangential stress at the outer surface of the inner cylinder. Given: The inner…

Q: Figure 2: cylindrical shaft

A:

Q: A bar of steel has the minimum properties Se= 40 kpsi, Sy = 60 kpsi, and Sut = 80 kpsi. The bar is…

A: Given:The endurance stress is The yield stress is The ultimate stress is The steady torsion stress…

Q: A circular aluminum tube subjected to pure torsion by torques T (see figure 2) has an outer radius 2…

A:

Q: A torsional moment T = 8,867 Nm and a load P = 59,372 N are applied at the same time to a circular…

A: Given data:- Torque (T) = 8867 N-m Force (p) = 59372 N Inner diameter = 49 mm Outer diameter = 70…

Q: A stepped steel shaft shown below is subjecte to 10 N-m torque. If the moduius of rigidity 80 GPa,…

A: Given:Torque, T=10 N-mG=80 GPad1=50 mmd2=25 mmL=100 mm

Q: 80 mm 20 mm 7 mm M M Click to see additional instructions Calculate the minimum Safety Factor if the…

A:

Q: tube subjected to pr times the inner radi hear strain in the tu ner surface? allowable rate of tv

A:

Q: A motor driving a solid circular steel shaft transmits 30 kW to a gear at B (as shown). The…

A: Here is the solution for the above question.

Q: or the two-cell tube, the rate of twist is 5 degree/meter. G=20 GPa, if a is 10 cm and t equals to 4…

A:

Q: subjected to pure tor s the inner radius n. strain in the tube is m

A:

Q: A 3 m long steel angle shown in the figure has a section thickness of 12.7 mm and a cross sectional…

A:

Q: A round steel rod is subjected to axial tensile stress of 50 MPa with superimposed torsional shear…

A: Given: The value of tensile stress is бx=50 MPa. The value of torsional shear stress is τxy=100…

Q: 7. A stepped shaft ABC consisting of two solid circular segments is subjected to torques Tị and T;…

A: Data given -  d1 = 58 mm = 0.058 m  L1  = 760 mm = 0.76 m d2  = 45 mm = 0.045 m  L2 = 510 mm = 0.510…

Q: The circular cross-section, L=0.5m long console BC shaft in the figure is forced to twist with P1=2…

A:

Q: A solid brass bar of diameter d =1.25 in. issubjected to torques T1, as shown in part a of the…

A: d=1.25Applied troque on the solid bar be T1Allowable shear stress in the brass τa=12ksiPolar moment…

Q: 3.3-2 When drilling a hole in a table leg, a furniture maker uses a hand-operated drill (see figure)…

A: Given data Diameter of bit =d=4.0 mm. To determine : (a) If the resisting torque supplied by the…

Q: b a A steel shaft of solid elliptical cross section has a semi-major axis of length, a, and a…

A: Given ,  length of the major axis  , a =25 mm Length of the minor axis ,  b =13 mm Torque ,  T=550…

Q: A solid 11 mm diameter shaft is subjected to an axial load of P= 33 kN and a torque of T acting as…

A: Sum of moment of intera of two perpendicular axes is known as polar moment of inertia.

Q: M-2000 Ncm 500 Ncm M-800 Nem M300 Ncm M-400 Ncm A B- L-20cm M.

A:

Q: A torque of Tx=200Nm and a torque of Mz=260Nm are applied to the stepped shaft in the figure.…

A: Given data as per question Tx=200Nm Torque  Mz=260Nm Larger diameter =400 mm Smaller diameter=150 mm…

Q: a) Draw the bending moment diagrams My and Mz and torque T, determine the magnitude and location of…

A:

Q: A round shaft of diamater D = 65 mm with a groove cut into it where the diameter decreases to d = 50…

A:

Q: Question 3 The A hollow shaft with an outside diameter of 150 mm and an insid subjected to an axial…

A: Givendo=150mmdi=130mmP=75 kNTB=16 kNmTC=7 kNmσyeild=40MPa

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.