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GATE ME 2018: Strength of Materials Rapid Revision Test

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Question 1

A circular shaft subjected to torsion undergoes a twist of 1 ° in a length of 120 cm. If the maximum shear stress induced is limited to 1000Kg/cm² and if the modulus of rigidity G=0.8×10⁶ Gpa then the radius of the shaft should be

Question 2

Given that
P_E = the crippling load given by Euler
P_C = the load at failure due to direct compression
P_R = the load in accordance with the Rankine’s criterion of failure
Then P_R is given by

Question 3

For solid shaft subjected to a torque of 18000 Nm having a permissible shear stress of 60 N/mm², the diameter of shaft is

Question 4

Two shafts A & B are made of same material. The radius of the shaft A is half that of shaft B. The power transmitted by the shaft A will be --- that of shaft B.

Question 5

A steel bar(α= 11x10^-6) is held by two fixed supports as shown in the figure and is subjected to an increase of temperature ∆T=100 °C and young's modulus 200GPa respectively, the magnitude of thermal stress (in MPa) induced in the bar is _____

Question 6

An aluminium bar of 52mm diameter is twisted by Torque T at the ends. The allowable shear stress is 65 MPa. Calculate the maximum permissible torque in Nm.

Question 7

A shaft with a varying radius which varies linearly from 2R to R. A torsional load T is being applied on the free end of the shaft. What is the angle of rotation of the free end of the shaft?

Question 8

For a hollow shaft under pure torsion, the maximum permissible value of torque is 3000Nm and its outer diameter is 50mm. Then, the value of ‘k’ (ration of inner diameter to outer diameter) will be? The allowable shear stress is 80 GPa

Question 9

Consider a steel (Young's modulus E = 200 GPa) column hinged on both sides. Its height is 1.0 m and cross-section is 10 mm × 20 mm. The approximate lowest Euler critical buckling load (in kN) is__________

Question 10

For the linear elastic beam shown in the figure, the flexural rigidity, EI is

. When P is 400 N, the magnitude of vertical reaction (R_A) is _______ N.

Question 11

Load P is applied in a curved beam as shown in the diagram. How much did the point of application of the load deflected from its original position?[E modulus of elasticity]

Question 12

A wood beam is being reinforced by two steel plates of t thickness each, to withstand bending moment about X axis. If we had to use the wood plates instead of steel plates what should be the thickness of those wood plates?

Question 13

A 3m long cylindrical shaft is rigidly held at its two ends. A pulley is mounted on the shaft at 1m from one end: the shaft is twisted by applying torque on the pulley. The maximum shearing stress developed in 1m and 2m lengths are respectively τ₁ and τ₂. the ratio τ2:τ₁ is

Question 14

A metal rod of initial length L_o is subjected to a drawing process. The length of the rod at any instant is given by the expression, L(t)= L_o (1+t²), where t is the time in minutes. The true strain rate (in min^-1) at the end of one minute is ________.

Question 15

A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of 10 kN is applied at the and-point of PQ. The magnitude of bending moment (in kN-m) at fixed end 0 is
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ESE & GATE ME Strength of Materials

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