A bridge across a river has a span 21, and is constructed with beams resting on the banks and supported at the middle on a pontoon. When the bridge is unloaded the three supports are all at the same level, and the pontoon is such that the vertical displacement is equal to the load on it multiplied by a constant 2. Show that the load on the pontoon, due to a concentrated load W, placed one-quarter of the way along the bridge, is given by:11/16(1+6EI/l3)where I is the second moment of area of the section of the beams. (Cambridge) Please show solution to get answer. A bridge across a river has a span 2/, and is constructed with beams resting on the banksand supported at the middle on a pontoon. When the bridge is unloaded the threesupports are all at the same level, and the pontoon is such that the vertical displacementis equal to the load on it multiplied by a constant 2. Show that the load on the pontoon,due to a concentrated load W, placed one-quarter of the way along the bridge, is givenby11W6Ελ1 +1613where I is the second moment of area of the section of the beams. (Cambridge)

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Answered: A bridge across a river has a span 21,…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A bridge across a river has a span 21, and is constructed with beams resting on the banks and supported at the middle on a pontoon. When the bridge is unloaded the three supports are all at the same level, and the pontoon is such that the vertical displacement is equal to the load on it multiplied by a constant 2. Show that the load on the pontoon, due to a concentrated load W, placed one-quarter of the way along the bridge, is given by:

11/16(1+6EI/l3)

where I is the second moment of area of the section of the beams. (Cambridge)

Please show solution to get answer.

A bridge across a river has a span 2/, and is constructed with beams resting on the banks
and supported at the middle on a pontoon. When the bridge is unloaded the three
supports are all at the same level, and the pontoon is such that the vertical displacement
is equal to the load on it multiplied by a constant 2. Show that the load on the pontoon,
due to a concentrated load W, placed one-quarter of the way along the bridge, is given
by
11W
6Ελ
1 +
16
13
where I is the second moment of area of the section of the beams. (Cambridge)

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