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Importance of Analyzing Beams
To determine shearing forces and bending moments produced by applied loads.
Statically Determinate Beams
Beams in which the reactions of the supports may be determined using the equations of static equilibrium.
Shear Force
A force applied parallel to a surface, in opposition to an offset force acting in the opposite direction.
Statically Indeterminate Beam
When the number of reactions exerted upon the beam exceeds the number of equations in static equilibrium.
Shear Relation Along the Beam
The transfer loads and reactions along the beam
Bending Moment
The moment reaction of the beam against flexure or bending.
Equations of Static Equilibrium for Statically Determinate Beams
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Importance of Analyzing Beams (Cross-section)
To select the cross-section best suited to resist shearing forces and bending moments.
Degree of Indeterminacy of a Beam
The difference between the number of reactions and the number of equations in static equilibrium that can be applied.