1
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+2
-0.833

A linearly elastic beam of length 2l with flexural rigidity EI has negligible mass. A massless spring with a spring constant k and a rigid block of mass m are attached to the beam as shown in the figure.

GATE CE 2024 Set 2 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 3 English

The natural frequency of this system is

A

$$\sqrt{\frac{kl^3 + 6EI}{ml^3}}$$

B

$$\sqrt{\frac{kl^3 + 48EI}{ml^3}}$$

C

$$\sqrt{\frac{6EIk}{(kl^3 + 6EI)m}}$$

D

$$\sqrt{\frac{48EIk}{(kl^3 + 48EI)m}}$$

2
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+2
-0.833

A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio (l/r) of 105, where l is the bar length and r is the radius of gyration. The coefficient of thermal expansion of steel is $12 \times 10^{-6}$ $^{\circ}$C. Consider the effective length of the steel bar as $0.5l$ and neglect the self-weight of the bar.

The differential increase in temperature (rounded off to the nearest integer) at which the bar buckles is

A

298 $^{\circ}$C

B

85 $^{\circ}$C

C

400 $^{\circ}$C

D

250 $^{\circ}$C

3
GATE CE 2024 Set 2
Numerical
+2
-0.833

For the 6m long horizontal cantilever beam PQR shown in the figure, Q is the midpoint. Segment PQ of the beam has flexural rigidity $EI = 2 \times 10^5$ kN. $m^2$ whereas the segment QR has infinite flexural rigidity. Segment QR is subjected to uniformly distributed, vertically downward load of 5 kN/m.

GATE CE 2024 Set 2 Strength of Materials Or Solid Mechanics - Deflection of Beams Question 2 English

The magnitude of the vertical displacement (in mm) at point Q is _______ (rounded off to 3 decimal places).

Your input ____
4
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

The structural design method that DOES NOT take into account the safety factors on the design loads is

A

working stress method.

B

load factor method.

C

ultimate load method.

D

limit state method.

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