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GATE ME 2019: Strength of Materials Rapid Quiz-3 (App update required to attempt this test)
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Question 1
A solid shaft and a hollow shaft of same length, transmit equal torque and have equal maximum stress. Which of the following statement is correct
Question 2
A helical compression spring made of wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is 24 MPA. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is _______
Question 3
Find the moment of inertia of the section about the base BC?
Question 4
A short hollow cast iron (CI) cylinder carries a load of 50 tones and has its wall thickness of 2.5 cm. The working stress for the cylinder material in compression is 78.4MPa. To carry the load, the outside diameter(cm) of the cylinder should not less than
Question 5
For a deformable engineering material, the ratio of elastic modulus E and bulk modulus K is 0.8. What will be the ratio of Youngs modulus E and rigidity modulus G?
Question 6
A cantilever of length 3m is carrying a point load of 50kN at a distance of 2m from the fixed end. If I= 108 mm4 and E= 2 × 105 N/mm2 . Find the deflection at the free end.
Question 7
Consider the following statements pertaining to linear torsion analysis:
1). The cross-section under torsion remains plane and undistorted for circular and non-circular shaft.
2). Deformation is considered in the elastic range.
3). Shearing stress in the shaft varies linearly with the radial distance from axis of the shaft.
Which of the above are valid?
1). The cross-section under torsion remains plane and undistorted for circular and non-circular shaft.
2). Deformation is considered in the elastic range.
3). Shearing stress in the shaft varies linearly with the radial distance from axis of the shaft.
Which of the above are valid?
Question 8
For the shear force to be uniform throughout the span of a simply supported beam, it should carry which one of the following loadings?
Question 9
A slender bar of 100 mm2 cross-section is subjected to loading as shown in the figure. If the modulus of elasticity is taken as 200 × 109 Pa, then the elongation produced in the bar will be ____ mm.
Question 10
A uniform cantilever beam with flexural rigidity EI is shown in figure. The bending deflection at the free end is
Question 11
A 3 metre long beam, simply supported at its ends, carries a point load ‘W’ at its centre. If the slope at the ends of beam is 2 °, then the deflection at the centre of beam will be ____ mm.
Question 12
A rod tapers uniformly from 60 mm to 30 mm diameter in a length of 300 mm. If the rod is subjected to an axial load of 6000 N, then the extension of the rod ( in µm ) ___.
[Take E = 2 × 105 N/mm2]
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