Influence Lines Moving Load -...
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Influence Lines – Moving Load
STRUCTURAL ANALYSISBFC 21403
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Introductionwww.uthm.edu.my With Wisdom, We Explore
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In designing the structure, the positions of the maximumshear force and maximum bending moment should bedetermined.
If the structure undergoes one or two moving load, theposition of the maximum shear force and maximum bendingmoment can be determined easily from the influence line.
Moving load in structural analysis involves beam, girder andtruss systems.
In this topic, we will discuss about:
1. Maximum Influence at a point due to a series of concentrated loads on beam.
2. Absolute shear and moment.
3. Influence line for truss.
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Concentrated Loads on Beamwww.uthm.edu.my With Wisdom, We Explore
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Maximum Influence at a point due to a Series ofConcentrated Loads.
Example 5.9:
Determine maximum moment at point X on the deck due tothe wheel loads of the moving car which is moving from Ato B.
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Concentrated Loads on Beamwww.uthm.edu.my With Wisdom, We Explore
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Determine reaction force, RA and RB
Construct influence line for moment
Use trial and error
Case 1: 15kN at X
Case 2: 10kN at X
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Concentrated Loads on Beamwww.uthm.edu.my With Wisdom, We Explore
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Case 1: 15kN arrive first at point X
Case 2: load 15kN move forward and load 10kN arrive at X
Max!!!
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Concentrated Loads on Beamwww.uthm.edu.my With Wisdom, We Explore
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Example 5.10:
Determine the maximum positive shear created at point Bin the beam due to wheel loads of moving truck.
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Concentrated Loads on Beamwww.uthm.edu.my With Wisdom, We Explore
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Construct the influence line for VB
Using trial and error procedure; the wheel load of 18kN willmove first
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Concentrated Loads on Beamwww.uthm.edu.my With Wisdom, We Explore
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Case 1: 18kN at point B
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Concentrated Loads on Beamwww.uthm.edu.my With Wisdom, We Explore
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Case 2: 40.5kN at point B
Case 3: 67.5 at point B
Case 4: 45kN at point B
?
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Absolute Max. Shear and Momentwww.uthm.edu.my With Wisdom, We Explore
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Maximum shear and moment on the beam subjected to themoving load is located on the beam’s centerline betweenthe resultant force and the nearest point.
Occurs under one of the concentrated forces series.
Applied to each load in the series and the correspondingmaximum moment is computed.
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Example 5.11:
Determine the absolute maximum moment in the simplysupported beam.
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Example 5.12:
Determine the absolute maximum shear subjected to theseries of concentrated load. The loads can be moved fromleft to right or opposite direction.
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Absolute Max. Shear and Momentwww.uthm.edu.my With Wisdom, We Explore
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Influence Line - Trusswww.uthm.edu.my With Wisdom, We Explore
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Example 5.13:
Construct the influence lines for force in member GB fromthe given problem.
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Example 5.15:
Draw the influence line for member EF, ED and CD for thetruss which is subjected to the uniform distributed load of2kN/m. Determine the maximum compression and tensileload for the three members.
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