Boundary Condition for deflection of Beam

Thread starter zetshield21
Start date May 28, 2012
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Beam Boundary Boundary condition Condition Deflection

In summary, a boundary condition for deflection of a beam refers to the constraints placed on the ends of the beam that affect its deflection. These conditions can include fixed supports, pinned supports, rollers, and cantilevered ends. They directly impact the behavior of the beam by controlling its movement and rotation at the supported ends. Fixed and pinned supports differ in their restrictions on movement and rotation, resulting in different deflection patterns and magnitudes. Boundary conditions are typically determined in the design phase and cannot be changed after construction without compromising the structural integrity of the beam. The type of boundary conditions chosen for a beam depends on its type and purpose, and will also affect its strength and stiffness.

May 28, 2012

zetshield21

I have a problem how to select the boundary condition when i answer this deflection of beam.
for example: the boundary condition is [x=o,y=0],[x=l,y=0],[x=o,dy/dx=o] and [x=L,dy/dx=0]
given that
EIdy/dx= Ax+wx^2/2
EIy= Ax^2/2+wx^3/6

anybody can tell me how to select this?

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May 29, 2012

LawrenceC

Elaborate on the problem because what you are asking is not clear.

1. What is a boundary condition for deflection of a beam?

A boundary condition for deflection of a beam refers to the constraints or restrictions placed on the ends of a beam that affect its deflection. These conditions can include fixed supports, pinned supports, rollers, and cantilevered ends.

2. How do boundary conditions affect the deflection of a beam?

Boundary conditions directly impact the behavior of a beam by controlling its movement and rotation at the supported ends. Different boundary conditions will result in different deflection patterns and magnitudes.

3. What is the difference between a fixed support and a pinned support in terms of boundary conditions?

A fixed support restricts both the vertical and horizontal movement and rotation of the beam, while a pinned support only restricts vertical movement and rotation. This means that a fixed support will result in a stiffer beam with less deflection compared to a pinned support.

4. Can boundary conditions be changed after a beam is constructed?

In most cases, boundary conditions cannot be changed after a beam is constructed. These conditions are typically determined in the design phase and are integral to the structural integrity of the beam. Changing boundary conditions after construction could compromise the stability and safety of the structure.

5. How do boundary conditions differ for different types of beams?

The choice of boundary conditions for a beam depends on its type and purpose. For example, a cantilever beam will have a fixed support at one end and a free end, while a simply supported beam will have a pinned support at both ends. The type of boundary conditions will also affect the strength and stiffness of the beam.