GATE 2019: Strength of Material Quiz 1

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Question 1

If a body is acted upon by a shear stresses on two mutually perpendicular planes, the planes inclined at 45⁰ are not subjected to

• Atensile stress
• Bcompressive stress
• Cshear stress
• Dcombination of normal and shear stress

Question 2

In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to

• AYield stress
• BProportional limit
• CMaximum stress
• DFracture stress.

Question 3

If the Principal stresses on a plane stress problem are S₁ =100 MPa and S₂ = 40 MPa then the magnitude of Mohr circle radius (MPa) will be:

• A60
• B50
• C30
• DNone of these

Question 4

A 200 × 100 × 50 mm steel block is subjected to a hydrostatic pressure 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 mm ³ is

• A85
• B90
• C100
• D110

Question 5

A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from E₁ to E₂ along the length of the rod, the normal stress developed at the section-SS is

• A
• B
• C
• D

Question 6

A rigid beam AB is supported as shown in figure. The rod AM is of steel, with a cross-sectional area of 10 cm², the rod BN is of wood with a cross-sectional area of 100 cm², the rod CD is of copper, and has cross-sectional area of 30 cm². The displacement of the point of application of the load is
[Take ]

• A0.4 mm
• B0.6 mm
• C0.8 mm
• D1.0 mm

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