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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.
written 6.9 years ago by
ashishgoklani
• 180
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modified 3.7 years ago
by
Chandan15
• 300
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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.
Subject: Structural Analysis 1
Topic: Rolling Load And Influence Lines For Statically Determinate Structures
Difficulty: High
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1 Answer
Taking moment about $16kN,$
$$
\begin{array}{l}
(16+24+20+10) \times x=((24 \times 4)+(20 \times 6.5)+ (10 \times 9.5)) \\
x=4.586 \mathrm{~m}
\end{array}
$$
$\begin{aligned} B M_{\max } &=(10 \times 5.297)+(20 \times 6.769)+(24 \times 7.997)+(16 \times 5.96)\\ B M_{\max } &=475.638 \mathrm{kNm} \end{aligned}$