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KIC000122 - Influence Lines for a Statically Determinate...

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Influence LinesforaStatically Determinate Continuous Beam problem statement Draw the qualitati veinfluence lines for the vertical reactions at the supports, the shear and moments at sections sI and s2, and the shear at the left and right of support B of the continuous beam shown. A B h C rr--I--;:::o:::""'---o-c -Ir--::::o.-.--- lirirJ 51 I'J1r1 S' rl]fjr I-- 4'--1-- 4'-1- 2'-+--3'--+- 3'--1 Reactions at A, B, and C Qualitative influence lines for the support reactions at A, B, and C are found by using the MUller Breslau Principle for reactions, i.e., apply a force which will introduce a unit displacement in the structure at each support. The resulting deflected shape will be proportional to the influence line for the support reactions. The resulting influence lines for the support reactions at A, B, and C are shown in Figure 2, below. A 8 h C ..D;;;;--+~l--~,,""---O--f-IS!-;;;;;fk,~ R a 1~ ac::o::::::: . .25 ~ --------~ Note: Beam BC does not experience internal forces or reactions when the load moves from A to h. In other words, influence lines for beam he will be zero as long as the load is located between
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A and h. This can also be explained by the fact that portion hC of the beam is supported by beam
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