GATE XE topic:solid-mechanics PYQs & Answers — Page 13

Questions 121–130 of 133. Imported answers require independent review unless marked reviewed.

The beam shown below carries two external moments. A counterclockwise moment of magnitude

acts at point B and a clockwise moment of magnitude

acts at the free end, C. The beam is fixed at A. The shear force at a section close to the fixed end is equal to

Diagram for Engineering Sciences question 59

Your answerChoose one option.

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A closed thin-walled cylindrical steel pressure vessel of wall thickness

is subjected to internal pressure. The maximum value of pressure

(in kPa) that the wall can withstand based on the maximum shear stress failure theory is given by (Yield strength of steel is

and mean radius of the cylinder

Your answerChoose one option.

100

200

300

400

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The state of stress at a point in a body is represented using components of stresses along X and Y directions as shown. Which one of the following represents the state of stress along X′ and Y′ axes? (X′-axis is at 45° clockwise with respect to X-axis).

Diagram for Engineering Sciences question 62

Your answerChoose one option.

Graphical option

Diagram for Engineering Sciences question 62 (figure 2)

Graphical option

Diagram for Engineering Sciences question 62 (figure 3)

Graphical option

Diagram for Engineering Sciences question 62 (figure 4)

Graphical option

Diagram for Engineering Sciences question 62 (figure 5)

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An aluminum specimen with an initial gauge diameter

and a gauge length

is subjected to tension test. A tensile force

is applied at the ends of the specimen as shown resulting in an elongation of

in the gauge length. The Poisson’s ratio (

) of the specimen is ________.

Shear modulus of the material

. Consider engineering stress-strain conditions.

Diagram for Engineering Sciences question 63

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A rectangular sheet ABCD of dimensions

and

along X and Y directions, respectively, is stretched to a rectangle AB′C′D′, as shown. The maximum principal strain (

) and minimum principal strain (

) due to the stretch are given by

Diagram for Engineering Sciences question 64

Your answerChoose one option.

and

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A solid bar of uniform square cross-section of side

and length

is rigidly fixed to the supports at the two ends. When the temperature in the rod is increased uniformly by

, the bar undergoes elastic buckling. Assume Young’s modulus

and coefficient of thermal expansion

to be independent of temperature. The coefficient of thermal expansion

is given by

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A truss system EFGH shown below is built using members EF, GH and FH of the same cross-sectional area 10mm² and member FG of cross-sectional area 20mm². The total strain energy stored (in Nm) in the system due to a force

acting at F is __________. Assume elastic deformations and members are made of steel with elastic modulus of 200GPa.

Diagram for Engineering Sciences question 67

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The frame shown below carries a vertical load

at its free end D. The frame is fixed at A and has a roller support at B. Magnitude of the reaction force at B (in kN) is __________. Assume that the effect of the axial force on bending is negligible.

Diagram for Engineering Sciences question 71

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The simply supported beam shown below is subjected to a clockwise moment

at point A and to counterclockwise moments

and

at points B and C, respectively. Which one of the following is the correct bending moment diagram (tensile at bottom is positive moment) for the beam?

Diagram for Engineering Sciences question 73

Your answerChoose one option.

Diagram for Engineering Sciences question 73 (figure 2)

Diagram for Engineering Sciences question 73 (figure 3)

Diagram for Engineering Sciences question 73 (figure 4)

Diagram for Engineering Sciences question 73 (figure 5)

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The structure shown below is of rectangular cross section and carries a load of 10kN at its free end E. Maximum bending stress (in MPa) developed in the beam due the external load is _________. The depth of the beam is 300mm and the width is 150mm.

Diagram for Engineering Sciences question 74

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GATE XE topic:solid-mechanics PYQs

Question 59

Question 61

Question 62

Question 63

Question 64

Question 65

Question 67

Question 71

Question 73

Question 74