Influence lines (structural engineering)

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SUMMARY

The discussion focuses on drawing influence lines for a concrete highway bridge supported by columns and abutments. The user successfully calculated the shear force across joint C, noting specific conditions for different spans. However, they seek guidance on deriving the axial force in column E and the bending moment over column B. Key advice includes incorporating the weight of 100kN into calculations and considering multiple axle positions for accurate results.

PREREQUISITES
  • Understanding of influence lines in structural engineering
  • Familiarity with shear force and bending moment calculations
  • Knowledge of axial forces in structural members
  • Proficiency in using structural analysis software or manual calculation techniques
NEXT STEPS
  • Study the principles of influence lines in structural analysis
  • Learn how to calculate shear forces and bending moments using the method of sections
  • Explore the effects of varying load positions on influence lines
  • Investigate software tools for structural analysis, such as SAP2000 or RISA
USEFUL FOR

Civil engineers, structural analysts, and students studying bridge design and analysis will benefit from this discussion.

haris89
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The concrete highway bridge show in Figure Q3a is supported on
columns at B and E, and abutments at A and F. The bridge has joints
at C and D, which can be modeled as pins. Figure Q3b shows an
idealised model of the bridge deck.
Draw influence lines for:
i) the shear force across joint C;
ii) the axial force in column E;
iii) the bending moment in the beam over column B.

I attempted part (i) and got: when x<15m shear force at C=0, when 15m<x<30m shear force at C=(30-x)/15 and finally when x>30m shear force at C=0. I assumed the moments about joints C and D will equal 0 as they are pinned. Can anyone tell me if I'm correct?

Parts (ii) and (iii) are puzzling me though.
Could anyone give me some advice/tips on how to get an expression for the axial force in column E and bending moment over column B for the influence line?

[PLAIN]http://img294.imageshack.us/img294/1899/influenceline.jpg
 
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Haris, I believe you need to include the weight, 100kN, in your equations. Also, for part i, you should have 3 equations, one with the front axle on the center span, one with both axles and one with only the rear axle on the center span. Once you get that you might move on to the other two. You'll have to expend some pencil lead to complete them. S
 

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