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The 3-hinged stiffening girder of a suspension bridge of span 120m is subjected to two point loads of 240KN and 300KN at distance 25m and 80m from the left end.

Find the SF and BM for the girder at a distance of 40m from the left end. The supporting cable has a central dip of 12m. Find, also the maximum tension in the cable and draw the BMD for the girder.


Subject : Structural Analysis 1

Topic : Cable & Suspension Bridge

Difficulty : High

1 Answer
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diagram


1.To find support reaction:

Considering the stiffening girder as a suspension beam supporting the given external load system,

$ \Sigma M_{a}=0 $

$240 *25+300*80-V_{B}*120=0 $

$V_{B}=250KN $

$\Sigma F_{Y}=0 $

$V_{A}-240-300+250=0 $

$V_{A}=290KN $


2.To find H:

Beam moment at C$= BM_{c}=290*60-240*35) $

$BM_{c}=9000KNm $

Beam moment under the 240KN …

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