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QUESTION: 1

A simply supported beam of span L carries a point load Pat the mid span. The downward deflection under the load will be

Solution:

QUESTION: 2

A simply supported beam carries a concentrated load P at the mid span and experiences a maximum deflection Av Subsequently, the breadth and depth of beam is doubled. The corresponding deflection under the load will become

Solution:

QUESTION: 3

A simply supported beam carries a total load W which is uniformly distributed on the entire span. The center of beam is propped so that it is brought to the level of end supports. The prop reaction would be

Solution:

After equating central deflection for both the cases, we have

QUESTION: 4

A point load placed at the mid span of a simply supported beam has been replaced by a uniformly distributed load of same total value. The central deflection in the later case will be

Solution:

For central point load P,

For udl of same total value,

QUESTION: 5

A cantilevel beam of length L is subjected to a concentrated load Pat a distance of L/3 from the free end. What is the deflection at free end of the beam?

Solution:

QUESTION: 6

Which amongst the following methods is/are most commonly used to determine beam deflection?

1. Double-integration method

2. Method of singularity functions

3. Elastic energy methods

4. Moment-area methods

Solution:

QUESTION: 7

The differential equation of the bent beam is given by

The significance of this equation is, except

Solution:

QUESTION: 8

A support is said to be non-yielding if

Solution:

QUESTION: 9

A simply supported beam has been subjected to unsymmetrical loading. The deflection would be maximum at a section where

Solution:

Slope is always zero at the point of maximum deflection.

QUESTION: 10

Which of the following statements pertaining to slope of loaded beam is WRONG? The maximum slope

Solution:

The maximum slope for a simply supported beam carrying a total load Pwhich is distributed over the entire span is PL^{2}/24 EI

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