1
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measures will reduce the deflection?
A
Increase the area moment of inertia
B
Increase the span of the beam
C
Select a different material having lesser modulus of elasticity
D
Magnitude of the load to be increased
2
GATE ME 2003
MCQ (Single Correct Answer)
+1
-0.3
The second moment of a circular area about the diameter is given by (D is the diameter)
A
$${{\pi {D^4}} \over 4}$$
B
$${{\pi {D^4}} \over 16}$$
C
$${{\pi {D^4}} \over 32}$$
D
$${{\pi {D^4}} \over 64}$$
3
GATE ME 2003
MCQ (Single Correct Answer)
+1
-0.3
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 he modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?
A
Both rods elongate by the same amount
B
Mild steel rod elongates more than the cast iron rod
C
Cast iron rod elongates more than the mild steel rod
D
As the stresses are equal strains are also equal in both the rods
4
GATE ME 2003
MCQ (Single Correct Answer)
+1
-0.3
The beams, one having square cross section and another circular cross-section,are subjected to the same amount of bending moment. If the cross sectional area as well as the material of both the beams are the same then
A
Maximum bending stress developed in both the beams is the same
B
The circular beam experiences more bending stress that the square one
C
The square beam experiences more bending stress than the circular one
D
As the material is same both the beams will experience same deformation