3The stresses at a point on the surface of a generator shaftare ox = -50 MPa, ơy = 30 MPa and Txy = -40 MPa asshown in Figure Q3.(Consider only the in-plane stresses. Note: the radius of thecircle is given by R = J)(a)Construct the Mohr's circle showing the centre of the circle aswell as points A and B.(b)Determine the principal stresses.(c)Show the principal stresses on a sketch of a properly orientedelement.(d)Determine the maximum shear stresses.(e)Show the maximum shear stresses on a sketch of a properlyoriented element.MPаВAMPaMPаFigure Q3

Answered: Image /qna-images/answer/7858cc7d-93aa-4bb7-8eef-ba9d771e4fca.jpg

The stresses at a point on the surface of a generator shaft are ox = -50 MPa, ơy = 30 MPa and Txy = -40 MPa as shown in Figure Q3. (Consider only the in-plane stresses. Note: the radius of the 2 + (rxy)³). (Ox-dy\ circle is given by R = 2

The stresses at a point on the surface of a generator shaft are ox = -50 MPa, ơy = 30 MPa and Txy = -40 MPa as shown in Figure Q3. (Consider only the in-plane stresses. Note: the radius of the 2 + (rxy)³). (Ox-dy\ circle is given by R = 2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.3.16P: A propeller shaft subjected to combined torsion and axial thrust is designed to resist a shear...

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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

3
The stresses at a point on the surface of a generator shaft
are ox = -50 MPa, ơy = 30 MPa and Txy = -40 MPa as
shown in Figure Q3.
(Consider only the in-plane stresses. Note: the radius of the
circle is given by R = J)
(a)
Construct the Mohr's circle showing the centre of the circle as
well as points A and B.
(b)
Determine the principal stresses.
(c)
Show the principal stresses on a sketch of a properly oriented
element.
(d)
Determine the maximum shear stresses.
(e)
Show the maximum shear stresses on a sketch of a properly
oriented element.
MPа
В
A
MPa
MPа
Figure Q3

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