GATE AE topic:solid-mechanics PYQs & Answers — Page 7

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Questions 61–68 of 68. Imported answers require independent review unless marked reviewed.

Topic practice 68 questionsPage 7 of 7

A cantilever beam having a rectangular cross-section of width 60 mm and depth 100 mm, is made of aluminum alloy. The material mechanical properties are: Young’s modulus, E = 73 GPa and ultimate stress,

= 480 MPa. Assuming a factor of safety of 4, the maximum bending moment (in kN-m) that can be applied on the beam is ______ (accurate to one decimal place).

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The components of stress in a body under plane stress condition, in the absence of body forces, is given by:

;

and

. The coefficient, A, such that the body is under equilibrium is ____ (accurate to one decimal place).

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Which of the following statements about the neutral axis of a beam with unsymmetrical cross section is true:

Your answerChoose one option.

The product of second moment of area about the neutral axis is always zero.

The normal stress along the neutral axis is always zero.

The shear stress along the neutral axis is always zero.

The product of second moment of area about the neutral axis and the normal stress about the neutral axis are always zero.

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Which of the following statements about the compatibility equations are true: P. Strain compatibility equations must be satisfied in the solution of three-dimensional problems in elasticity. Q. Six strains are defined in terms of three displacement functions and can have arbitrary values. R. Compatibility equations are an expression of the continuity of displacements.

Your answerChoose one option.

P and Q

Q and R

P and R

P, Q and R

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A batch of aluminium alloy yields in uniaxial tension at the stress of 330 MN/m

. If this material is subjected to the following state of stress:

MN/m

and

. The value of x that would result in yielding according to the Von Mises failure criterion is __________ (in three decimal places).

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An aircraft wing is idealized as a cantilever beam of constant width and length

with a tip mass of weight

(Newtons) and has a uniformly distributed loading of

(Newtons/m) as shown in the figure. Flexural rigidity = EI and

. The upward deflection of the tip of the aircraft wing under the given loading can be expressed as:

. The value of

is ________ (in three decimal places).

Diagram for Aerospace Engineering question 51

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For the state of plane stress shown in the figure, the minimum principal stress is

. The normal stress

is equal to ________ (round to nearest integer).

Diagram for Aerospace Engineering question 52

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The maximum normal stress in MN/m² for the thin walled beam of square cross section of outer dimension 120 mm x 120 mm and wall thickness 1 mm under the action of moment

Nm as shown in the figure is ________ (in three decimal places).

Diagram for Aerospace Engineering question 53

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GATE AE topic:solid-mechanics PYQs

Question 51

Question 52

Question 20

Question 25

Question 41

Question 51

Question 52

Question 53