GATE XE concept:stresses PYQs & Answers

Questions 1–10 of 12. Imported answers require independent review unless marked reviewed.

Sum of the principal stresses of a 2D stress state

is _____ (in integer).

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Two equivalent descriptions of the state of stress at a point are shown in the figure. The normal stresses

and

as shown on the right must be, respectively,

Diagram for Engineering Sciences question 68

Your answerChoose one option.

and

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A thin walled, closed cylindrical vessel of inside diameter

and wall thickness

contains a fluid under pressure

. The figure below shows a part of the cylindrical vessel; end caps are not shown. Consider the small element shown with sides parallel and perpendicular to the axis of the cylinder. The stresses

and

are

Diagram for Engineering Sciences question 70

Your answerChoose one option.

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For a plane stress problem, the principal stresses are 100 MPa and 50 MPa. The magnitude of maximum shear stress (in MPa) in the material is______(rounded off to one decimal place).

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A rectangular plate of uniform thickness having initial length

and width

is placed between two rigid immovable walls. The temperature of the plate is increased by

. The plate is free to expand along the

and

directions. The mid-surface of the plate remains in the

-plane. The Poisson’s ratio is

and the coefficient of thermal expansion is

. Assuming that the plate is initially free of stresses, the change in length of the plate after the increase in temperature is given by

Diagram for Engineering Sciences question 79

Your answerChoose one option.

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With respect to the plane of maximum shear stress, which of the following statements is INCORRECT?

Your answerChoose one option.

The normal stress on the plane is zero.

The maximum shear stress is equal to the largest of the one half the difference of principal stresses

The plane of maximum shear stress occurs at 45° to the principal planes.

The magnitude of the maximum shear stress is equal to the largest of the radius of the Mohr’s circles.

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For the state of plane stress shown, the components of normal and shear stresses are given in terms of stress

and unknown constants

and

. If the normal and shear components of stress on a 45° plane are

and zero, the values of

and

would be:

Diagram for Engineering Sciences question 10

Your answerChoose one option.

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The state of stress at a point in a body under plane stress condition is given as σ_x = 5 MPa, σ_y = −1 MPa and τ_xy = 4 MPa. If one of the principal stresses at that point is 7 MPa, then the other non-zero principal stress (in MPa) is _____

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A cantilever beam of constant cross section is subjected to a positive moment

and a positive axial force

as shown. The normal stress due to the axial force

is 200 MPa and the maximum compressive stress due to the moment

is 100 MPa. If the point A is located on the top surface and the point B is located on the centroidal axis of the beam, the stress elements at these points are (with stresses shown in MPa)