In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

A

$$\frac{{\text{L}}}{2}$$

B

$$\frac{{\text{L}}}{3}$$

C

$$\frac{{\text{L}}}{4}$$

D

$$\frac{{\text{L}}}{5}$$

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

$$\frac{4}{5}$$

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 '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

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

$$\frac{8}{5}$$

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 of span as shown in the figure is subjected to a concentrated load w at its metre span and also to a uniformly distributed load equality w what is the total diffraction it its midpoint.

A

18 Wl3 /384 EI

B

13 Wl3/ 384 EI

C

5 Wl3/ 384 EI

D

18 Wl3/ 384 EI

A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

A

0.207

B

0.307

C

0.407

D

0.508

In a ring beam subjected to uniformly distributed load
i) shear force at mid span is zero
ii) shear force at mid span is maximum
iii) torsion at mid span is zero
iv) torsion at mid span is maximum
The correct answer is

A

(i) and (iii)

B

(i) and (iv)

C

(ii) and (iii)

D

(ii) and (iv)

The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being E$$I$$, is

A

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{3{\text{E}}I}}$$

B

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{8{\text{E}}I}}$$

C

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{24{\text{E}}I}}$$

D

$$\frac{{{\text{W}}{{\text{L}}^3}}}{{48{\text{E}}I}}$$

In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

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