Consider the beam shown in Figure 4.68 in which a unit rotation is imposed at end A as before but the remote end B is pinned.

The force (MA) necessary to maintain this displacement can be shown (e.g. using McCaulay's Method) to be equal to (3EI)/L, which represents the reduced absolute stiffness of a pin-ended beam. It can therefore be stated that 'the stiffness of a pin-ended beam is equal to 34xthe stiffness of a fixed-end beam.' In addition it can be shown that there is no carry-over moment to the remote end. These two cases are summarised in

Figure 4.69.

Figure 4.69

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