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# GATE 2023 Strength of Materials Quiz 26

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Question 1

Calculate the Poisson’s ratio of the bar material if a tensile force of 350 kN is applied to it which causes its diameter its to reduce by 0.024 mm and length to increase by 0.85. The dimensions of the bar are 600mm x 60mm.

Question 2

For two prismatic bar loaded under its own weight the deflection for bar A is 2mm and length for bar A is 0.5m and length for bar B is 1 m. what would be the deflection for bar B if both the bar is of same material and is located under similar condition and configuration of loading.

Question 3

Two dimensional stress system on a block made of a material with Poisson’s ratio of 0.3 is shown in fig. The limiting magnitude of the stress so as to result in no change in length AB of the block is ________ N/mm2.

Question 4

Relation between modulus of elasticity (E), shear modulus (G), bulk modulus (K) and poisons ratio ( ) can be expressed as

Question 5

A steel bar of length 1.7 m having material yield point of 275 MPa and modulus of elasticity of 200 GPa. An applied axial load gradually builds up from zero to a value such that the elongation of the bar is 15 mm after which load is removed. If we assume elastic and perfectly plastic behaviour of the material, then the permanent elongation of the bar after removal of the load is

Question 6

A steel specimen of 10 mm diameter extends by 0.05 mm over a gauge length of 140 mm when subjected to an axial load of 8 kN. If the same specimen undergoes a twist of 0.4 on a length of 140 mm over a twisting moment of 5 N-m, than the values of elastic constant G and are
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