Derive equations that describe the vertical deflection of the beam, y(x). Note that since the internal moment function changes within the beam length, your will need to derive TWO different equations for slope and deflection. The two different equations will need to be equal wherever the equations have limits that are equal. You L/2 L/2 will have: • Two boundary conditions • Two "continuity" conditions: equalities of slope or deflection where the functions must yield the same result (that is the continuity)

Derive equations that describe the vertical deflection of the beam, y(x). Note that since the internal moment function changes within the beam length, your will need to derive TWO different equations for slope and deflection. The two different equations will need to be equal wherever the equations have limits that are equal. You L/2 L/2 will have: • Two boundary conditions • Two "continuity" conditions: equalities of slope or deflection where the functions must yield the same result (that is the continuity)

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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Question

3.
W
Derive equations that describe the
vertical deflection of the beam, y(x).
Note that since the internal moment
B
function changes within the beam
length, your will need to derive TWO
different equations for slope and
deflection. The two different equations
will need to be equal wherever the
equations have limits that are equal. You
L/2
L/2
will have:
• Two boundary conditions
• Two "continuity" conditions:
equalities of slope or deflection
where the functions must yield the
same result (that is the continuity)

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