Theory of Structures 1

A beam having both ends restrained against translation and rotation. The fixed ends transfer bending stresses, increase the rigidity of the beam and reduce its maximum deflection.

• Fixed end beam

• Deformation of a beam

• Cantilever beam

• Simple beam

Usually expressed in terms of its deflection from its original unloaded position

• Fixed end beam

• Deformation of a beam

• Cantilever beam

• Simple beam

A bar subject to forces or couples that lie in a plane containing the longitudinal section of the bar

• Beam

• Column

• Wall

• Footing

The method that dictates the types of reaction forces from the supporting members

• Beam supports

• Deformation of a beam

• Beam method

A projecting beam supported at only one end fixed

• Fixed end beam

• Deformation of a beam

• Cantilever beam

• Simple beam

A beam resisting on simple supports at both ends which are free to rotate and have no moment resistance

• Fixed end beam

• Deformation of a beam

• Cantilever beam

• Simple beam

A simple beam extending beyond one of its supports. The overhanging reduces the positive moment at mid-span while developing a negative moment at the base of the cantilever over the support

• Overhanging beam

• Cantilever beam

• Propped beam

• Continuous beam

A beam which is simply supported at one end and fixed at the other end

• Overhanging beam

• Cantilever beam

• Propped beam

• Continuous beam

A beam extending over more than two supports in order to develop greater rigidity and smaller moments than a series of simple beams having similar spans and loading

• Overhanging beam

• Cantilever beam

• Propped beam

• Continuous beam

A graphic representation of the variation in magnitude of the external shears present in a structure

• Shear diagram

• Moment diagram

• Positive shear

• Negative shear