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Solid Mechanics

GATE Engineering Sciences · Kinematics of Rigid Bodies · 2026-2026

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2026 Q68

Identify the zero-force member in the truss structure as shown in the figure.

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2026 Q69

A rigid block of mass m on a horizontal surface is connected to three springs each having spring constant k as shown in the figure. Which one of the following is the CORRECT natura...

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2026 Q72

A cart of weight (W) 5 kN, stands on an inclined smooth surface at an angle (θ) of 45° as shown in the figure. The cart is maintained in equilibrium by a horizontal force F acting...

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2026 Q73

A 2D state of stress at a point in a body is given by \sigma_{xx} = -40 MPa, \sigma_{yy} = 100 MPa and \tau_{xy} = 50 MPa. The radius of the Mohr's circle for the given state of st...

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2026 Q74

Sum of the principal stresses of a 2D stress state $\begin{bmatrix} 11 & 4 \\ 4 & 5 \end{bmatrix}$ is ________ (in integer).

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2026 Q75

The force (F) acting on the block, as shown in the figure is 2 N. The stiffness of the spring (k) is 100 N/m. Assume that the block is in static equilibrium and its mass is negligi...

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2026 Q76

Which one of the following options is the CORRECT absolute value of the bending moment at R in the frame as shown in the figure?

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2026 Q77

One column with square cross section of side r and another column with rectangular cross section of breadth p and width q (< p) are made from the same material. Both the columns ha...

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2026 Q79

A spring of stiffness k is connected to the center of a homogeneous right circular cylinder of radius r placed on a horizontal surface as shown in the figure. The cylinder is assum...

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2026 Q81

The point Q of a thin rigid equilateral triangular plate PQR is constrained to move in a horizontal channel. Point P of the same plate is constrained to move in the vertical channe...

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2026 Q87

A simply supported beam of length l = 2 m is subjected to a concentrated moment M = 150 kNm at a distance l/2 from the left end as shown in the figure. The elastic-strain energy U...

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