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GATE ME 2021 : Subject Revision Quiz 2 (App update required to attempt this test)

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Question 1

Which assumptions are incorrect in column theory?

Question 2

A steel rod of 3 sq. cm area of cross-section and 2.588m in length is subjected to a pull of 20kN. If the modulus of rigidity is 100 GPa and poison’s ratio is 0.33 then, The strain in the rod is expressed as A X

Find A _________ (Round off to 2 decimals)

Question 3

A 100 mm × 50 mm × 50 mm steel bar free to expand is heated from 15 °C to 40 °C. What kind of stress shall be developed?

Question 4

For different long columns having same cross-section area and hinged at both ends subjected Euler buckling load. Which of the following cross-section can have maximum buckling load

Question 5

A mild steel specimen of tapered circular crossection has diameter of 40 mm at one end and 14 mm at another end. If length of the specimen is 100 mm, then the elongation of the specimen under a tensile load of 220 kN will be [Take, E = 200 kN/mm²]

Question 6

A copper bar of 25 cm length is fixed by means of supports at its ends. Supports can yield (total) by 0.01 cm. If the temperature of the bar is raised by 100 °C, then the stress induced in the bar for if α_c = 20×10^-6/°C and E_c = 0.5×10⁵ MPa will be

Question 7

A 200 × 100 × 50 mm³ steel block is subjected to a hydro-static stress of 15 MPa. The Young’s modulus and Poisson’s ratio of the material are 200 GPa and 0.3 respectively. The change in the volume of the block in mm³ is

Question 8

A cantilever beam of 5m length supports a triangularly distributed load over its entire length, the maximum of which is at the free end. The total load is 21 N. what is the bending moment at fixed end?

Question 9

Two bars, each of length L and of different materials are each subjected to the same tensile force P. The first has a uniform diameter D and the second bar has a diameter D/2 for length L/4 and a diameter D for remaining length.
If $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image045.png$
Here (U= strain energy)

Question 10

In the diagram shown bending moment (in kN-m) at fixed end is

Question 11

In the cantilever beam PQR shown in figure below, the segment PQ has flexural rigidity EI and the segment QR has infinite flexural rigidity

The deflection and slope of the beam at Q are respectively ___________?

Question 12

A tension bar 5m long is made up of two parts, 3m of its length has a cross sectional area of 15

while the remaining 2m has a cross sectional area of 20

. An axial load of 70kN is gradually applied. Find the total strain energy produced in the bar. Take E= 2×

Question 13

Two shafts of hollow cross section are subjected to torques T_A and T_B. The ratio of their torque is T_A : T_B =2 & outer diameter is D_A : D_B =3 & ratio of outer to inner diameter is 3 for shaft A and 2 for shaft B then the ratio of shear stress of A to shear stress of B is

Question 14

At a cross section of a beam,the maximum compressive stress at top is 800 kg/cm² and the maximum tensile stress at bottom is 200 kg/cm².The depth of cross section is 10 cm.The depth of neutral axis from the top of the section is x.Then x is equal to _______.

Question 15

For a simply supported beam under uniformly distributed load of w N/m, deflection at centre is δ. If the same beam is now fixed at both ends under same loading condition, what will be deflection at centre?

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ESE & GATE ME Strength of Materials

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