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

Correct Answer: free end

Reflection of a Pulse at a Free End. ... That is, a pulse with an upward displacement will reflect off the end and return with an upward displacement. Sometimes it is said that the pulse is not inverted. This behavior of non - inversion will always be observed when the end of the medium is free to move.
Bissoy MCQ
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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 $$\frac{{{\text{w}}{l^2}}}{6}$$
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
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 $$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$
A simply supported beam 'A' of length l, breadth b, and depth d carries a central point load W. Another beam 'B' has the same length and depth but its breadth is doubled. The deflection of beam 'B' will be __________ as compared to beam 'A'.
A One-fourth
B One-half
C Double
D Four times
The simply supported beam 'A' of length '$$l$$' carries a central point load 'W'. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is 'W'. The ratio of maximum deflections between beams 'A' and 'B' is
A $$\frac{5}{8}$$
B $$\frac{8}{5}$$
C $$\frac{5}{4}$$
D $$\frac{4}{5}$$
The maximum deflection of a cantilever beam of length '$$l$$' with a uniformly distributed load of 'w' per unit length is (where W = w$$l$$)
A $$\frac{{{\text{W}}{l^3}}}{{3{\text{E}}I}}$$
B $$\frac{{{\text{W}}{l^3}}}{{8{\text{E}}I}}$$
C $$\frac{{{\text{W}}{l^3}}}{{16{\text{E}}I}}$$
D $$\frac{{{\text{W}}{l^3}}}{{48{\text{E}}I}}$$
The maximum deflection of a cantilever beam of length '$$l$$' with a point load 'W' at the free end is
A $$\frac{{{\text{W}}{l^3}}}{{3{\text{E}}I}}$$
B $$\frac{{{\text{W}}{l^3}}}{{8{\text{E}}I}}$$
C $$\frac{{{\text{W}}{l^3}}}{{16{\text{E}}I}}$$
D $$\frac{{{\text{W}}{l^3}}}{{48{\text{E}}I}}$$
A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be
A $$\frac{2}{3}$$
B $$\frac{3}{2}$$
C $$\frac{5}{8}$$
D $$\frac{8}{5}$$
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 $$\frac{{{\text{w}}{l^2}}}{2}$$

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