Understanding Absolute Max Moment: Example and Explanation

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SUMMARY

The absolute maximum moment in a beam does not always occur under the largest load, as demonstrated in the provided example. In this case, the maximum moment of 26 kNm occurs under the 6 kN load instead of the 8 kN load. This is due to the positioning of the loads relative to the resultant force, which can affect the moment calculations. The key takeaway is that the absolute maximum moment is influenced by the arrangement of loads, not solely their magnitudes.

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  • Understanding of static equilibrium in beams
  • Familiarity with moment calculations in structural analysis
  • Knowledge of load positioning and resultant forces
  • Basic principles of mechanics of materials
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fonseh
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Homework Statement


In the first 2 notes , i was told that the absolute max moment will occur under the largest force lying nearest the resultant force of system . but , in the example that i have uploaded , i found that the absolute max moment will occur under the 6kN load instead of 8kN

p/ s: for the last part in the example , (in the first trial) , the moment is 10(5) -8(3) = 26kNm

Homework Equations

The Attempt at a Solution


why ? According to the notes , the the absolute max moment will occur under the larger load near to the resultant force , right ? So , the absolute max moment will occur under the 8kN
 

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The abs max moment for a moving load generally occurs under the largest load when the resultant and largest load are placed equidistant from the beam centerline. But not always, so in this case you place the 6k load and resultant load equidistant from the beam centerline and calculate the moment under the 6k load, which you found out controls.
 

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