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The shear force at the center of a simply supported beam with a gradually varying load from zero at both ends to w per meter at the center, is
A
Zero
B
$$\frac{{{\text{w}}l}}{4}$$
C
$$\frac{{{\text{w}}l}}{2}$$
D
$$\frac{{{\text{w}}{l^2}}}{2}$$
Correct Answer:
Zero
There are two beams of equal length L and a load P is acting on centre of both beams. One of them is simply supported at both ends while the other one is fixed at both ends. Deflection of centre of simply supported beam will be __________ times that of defection of centre of fixed beam.
A
1
B
2
C
3
D
4
A simply supported beam with a gradually varying load from zero at ‘B’ and ‘w’ per unit length at ‘A’ is shown in the below figure. The shear force at ‘B’ is equal to
A
$$\frac{{{\text{w}}l}}{6}$$
B
$$\frac{{{\text{w}}l}}{3}$$
C
$${\text{w}}l$$
D
$$\frac{{2{\text{w}}l}}{3}$$
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
A simply supported beam 'A' of length ‘l’, breadth ‘b’ and depth ‘d’ carries a central load ‘W’. Another beam 'B' of the same dimensions carries a central load equal to 2W. The deflection of beam 'B' will be __________ as that of beam 'A'.
A
One-fourth
B
One-half
C
Double
D
Four times
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 at the ends of a simply supported beam carrying a uniformly distributed load of w per unit length is
A
Zero at its both ends
B
$${\text{w}}l$$ at one end and $$ - {\text{w}}l$$ at the other end
C
$$\frac{{{\text{w}}l}}{2}$$ at one end and $$ - \frac{{{\text{w}}l}}{2}$$ at the other end
D
$$\frac{{{\text{w}}{l^2}}}{2}$$ at one end and $$ - \frac{{{\text{w}}{l^2}}}{2}$$ at the other end
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 shear force in the center of a simply supported beam carrying a uniformly distributed load of ‘w’ per unit length, is
A
Zero
B
$$\frac{{{\text{w}}{l^2}}}{2}$$
C
$$\frac{{{\text{w}}{l^2}}}{4}$$
D
$$\frac{{{\text{w}}{l^2}}}{8}$$
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
