EXAMPLES

Maximum Displacement [m] that results from F [N]

Equivalent Stiffness [N/m]

Springs in Series

Springs in Parallel

Equivalence of Linear and Torsional Springs

Short 'proof' for small angles

Cantilevered Beam :

Concentrated load at free-end; beam has no mass

Cantilevered Beam :

Concentrated load at distance from fixed-end; beam has no mass

Cantilevered Beam :

Distributed load along beam; and/or beam has uniform mass

Simply-Supported Beam :

Concentrated load at center; beams mass no mass.

Simply-Supported Beam :

Concentrated load with asymmetric load; beams mass no mass.