Related Questions

The bending moment of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is ________ at the fixed end.
A $$\frac{{{\text{w}}l}}{2}$$
B $${\text{w}}l$$
C $$\frac{{{\text{w}}{l^2}}}{2}$$
D $$\frac{{{\text{w}}{l^2}}}{6}$$
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be
A $$\frac{{{\text{wa}}}}{{27}}$$
B $$\frac{{{\text{w}}{{\text{a}}^2}}}{{27}}$$
C $$\frac{{{{\text{w}}^2}{\text{a}}}}{{\sqrt {27} }}$$
D $$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$
The shear force of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at the free end and w per unit length at the fixed end is _________ at the fixed end.
A Zero
B $$\frac{{{\text{w}}l}}{4}$$
C $$\frac{{{\text{w}}l}}{2}$$
D $${\text{w}}l$$
The shear force diagram for a cantilever beam of length l and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is a
A Horizontal straight line
B Vertical straight line
C Inclined line
D Parabolic curve
The bending moment at the free end of a cantilever beam is
A Zero
B Minimum
C Maximum
D None of these
A cantilever beam of length L carries a gradually varying load form zero at free and w per unit length at the fixed end. The maximum deflection lies at
A free end
B fixed end
C L/3 sloping side
D none of these
The bending moment at a section tends to bend or deflect the beam and the internal stresses resist its bending. The resistance offered by the internal stresses, to the bending, is called
A Compressive stress
B Shear stress
C Bending stress
D Elastic modulus
The bending moment of a cantilever beam of length '$$l$$' and carrying a uniformly distributed load of 'w' per unit length is __________ at the fixed end.
A $$\frac{{{\text{w}}l}}{4}$$
B $$\frac{{{\text{w}}l}}{2}$$
C $${\text{w}}l$$
D $$\frac{{{\text{w}}{l^2}}}{2}$$
A shaft of diameter D is subjected to a twisting moment (T) and a bending moment (M). If the maximum bending stress is equal to maximum shear stress developed, then M is equal to
A $$\frac{{\text{T}}}{2}$$
B T
C 2T
D 4T
A beam supporting a uniformly distributed load over its entire length L is pinned at one end and passes over a roller support at a distance x from the other end . The value of x such that the greatest bending moment in the beam is as small as possible, will be
A 0.293L
B 0.330L
C 0.111L
D 0.125L

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