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A simply supported girder of span 32m is traversed by a series of four wheel loads 10KN, 20KN, 24KN, and 16KN, spaced at distances 3m, 2.5m and 4m respectively.

If the load system is moving from left to right with 16KN as leading load, find maximum BM under 24KN load. Is it absolute maximum BM? Give Reasons.

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Subject: Structural Analysis 1

Topic: Rolling Load And Influence Lines For Statically Determinate Structures

Difficulty: High

1 Answer
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Load diagram Taking moment about $16kN,$ $$ \begin{array}{l} (16+24+20+10) \times x=((24 \times 4)+(20 \times 6.5)+ (10 \times 9.5)) \\ x=4.586 \mathrm{~m} \end{array} $$ ILD $\begin{aligned} B M_{\max } &=(10 \times 5.297)+(20 \times 6.769)+(24 \times 7.997)+(16 \times 5.96)\\ B M_{\max } &=475.638 \mathrm{kNm} \end{aligned}$

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