1
GATE ME 2017 Set 2
Numerical
+1
-0
For a loaded cantilever beam of uniform cross-section, the bending moment (in N-mm) along the length is M(x) = 5x2+10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x=10mm is _________.
2
GATE ME 2017 Set 2
Numerical
+2
-0
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 _____.
3
GATE ME 2017 Set 2
+1
-0.3
A cantilever beam of length $$L$$ and flexural modulus $$EI$$ is subjected to a point load $$P$$ at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear) is
A
$${{{P^2}{L^3}} \over {6EI}}$$
B
$${{{P^2}{L^3}} \over {3EI}}$$
C
$${{P{L^3}} \over {3EI}}$$
D
$${{P{L^3}} \over {6EI}}$$
4
GATE ME 2017 Set 2
Numerical
+1
-0
In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100mm and 160mm, respectively. The crank is rotating with an angular velocity of 10 radian/s counter-clockwise. The magnitude of linear velocity (in m/s) of the piston at the instant corresponding to the configuration shown in the figure is _____________