Maximizing Bending Moment in Simply Supported Beams: An Experimental Approach

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SUMMARY

The discussion focuses on maximizing the bending moment in a simply supported beam, specifically a 10 m beam with Young's modulus (E) of 200 × 109 Pa and a moment of inertia (I) of 150 × 10-6 m4. Participants calculated the maximum bending moment and deflection at various points along the beam, utilizing equations such as M/I = σ/y = E/R and d2y/dx2 = M/EI. The need for experimental verification using a strain gauge was emphasized, along with deriving an equation to relate bending moment to measured strain.

PREREQUISITES
  • Understanding of beam mechanics and bending moment calculations
  • Familiarity with Young's modulus and moment of inertia concepts
  • Knowledge of strain gauges and their application in structural analysis
  • Proficiency in numerical integration techniques for deflection calculations
NEXT STEPS
  • Learn about the application of strain gauges in measuring bending moments
  • Study the derivation of deflection formulas for various loading conditions on beams
  • Explore numerical integration methods, such as the trapezoidal rule, for calculating deflections
  • Investigate the principles of superposition in structural analysis for combined loading scenarios
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in beam design and analysis will benefit from this discussion, particularly those focusing on bending moment and deflection calculations in simply supported beams.

  • #61
Steamking should I be used for the sum of deflections, 5kNm-1 udl load, 20kN or 30kN point loads to determine. What I value for the beam would be required to halve the maximum
deflection of the beam ?
 
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  • #62
Isn't the total deflection the sum of the individual deflections caused by the UDL and the two point loads?

What would happen if you took the formulas for the deflections caused by each of these loads and added them up?

Don't you get [Bunch of Stuff] / EI + [Bunch of Stuff] / EI + [Bunch of Stuff] / EI ?

How does the value of I influence the value of the deflection of the beam?
 
  • #63
Oxon88, how did you do with these questions? Were the answers you provided correct? Seem to be struggling with this and could use some guidamnce...
 

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