Previous Year GATE Questions on Simple Stress & Strain 2000-2006

Solved GATE Questions on Simple Stress and Strain

Question1. The stress-strain behaviour of a material is shown in figure. Its resilience and toughness, in Nm/m³, are respectively

(A)

(B) 

(C) 

(D) 

GATE-ME-2000

Hint

Question. 2. A 1.5 mm thick sheet is subject to unequal biaxial stretching and the true strains in the directions of stretching are 0.05 and 0.09. The final thickness of the sheet in mm is

(A) 1.414

(B) 1.304

(C) 1.362

(D) 289

GATE-ME-2000

Hint

Question. 3. The relationship between Young’s modulus(E), Bulk Modulus (K), and Poisson’s ratio () is given by

(A) E=3K(1-2)

(B) K=3E(1-2)

(C) E=3K(1-)

(D) K=3E(1-)

GATE-ME-2002

Hint

Question. 4. The total area under the stress-strain curve of a mild steel specimen tested up to failure under tension is a measure of

(A) Ductility

(B) Ultimate strength

(C) Stiffness

(D) Toughness

GATE-ME-2002

Hint

Question. 5. Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial forces causes the same amount of uniform stress in both the rods. The stresses developed    are with in the proportional limit of the respective materials. Which of the following observation is correct?

(A) Both rods elongate with the same amount

(B) Mils steel rod elongate more than the cast iron rod

(C) Cast iron rod elongate more than the mild steel rod.

(D) As stresses are equal strains are also equal in both the rods.

GATE-ME-2003

Hint

Question 6. The figure below shows a steel rod of 25 mm² cross-sectional area. It is loaded at four points K,L,M and N. Assume E_steel=200 GPa. The total change in the length of the rod due to loading is

(A) 1m

(B) -10m

(C) 16 m

(D) -20 m

GATE-ME-2004

Hint

Question 7. In terms of Poisson’s ratio(v) the ratio of Young’s Modulus (E) to shear Modulus (G) of elastic material is

(A) 2(1+)

(B) 2(1-)

(C) ½ (1+)

(D) ½ (1-)

GATE-ME-2004

Hint

Question 8. A uniform slender cylinder rod is made of a homogeneous and isotropic material. The rod rests on a frictionless surface. The rod is heated uniformly. If the radial and longitudinal thermal stresses are represented by  and , respectively, then

(A) 

(B) 

(C) 

(D) 

GATE-ME-2004

Hint

Question 9. A bar having a cross-sectional area of 700 mm² is subjected to axial loads at the positions indicated. The value of stress in the segment QR is

(A) 40 MPa

(B) 50 MPa

(C) 70 MPa

(D) 120 MPa

GATE-ME-2006

Hint

Question. 10 A steel bar of 40 mm40 mm square cross section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2m and E=200 GPa, the elongation of the bar will be:

(A) 1.25 mm

(B) 2.70 mm

(C) 4.05 mm

(D) 5.40 mm

GATE-ME-2006

Hint

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