Finding Max Deflection of Beam with Bending Curve Eqn

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SUMMARY

The discussion focuses on calculating the maximum deflection of a beam using the bending curve equation w'(x) = (q/6)^3 - ql/4 ^3 - 3ql/4 ^2 + (9ql^3)/24. To find the point of maximum deflection, it is established that setting w'(0)=0 is necessary. The challenge arises in determining the value of x for maximum bending due to difficulties in factoring the Heaviside function ^3. Participants seek assistance in resolving this mathematical problem.

PREREQUISITES
  • Understanding of beam deflection theory
  • Familiarity with bending moment equations
  • Knowledge of Heaviside functions
  • Proficiency in calculus, specifically differentiation
NEXT STEPS
  • Study the application of Heaviside functions in beam theory
  • Learn techniques for solving cubic equations in structural analysis
  • Explore methods for calculating maximum deflection in beams
  • Review the principles of bending moment and shear force diagrams
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in beam analysis and deflection calculations will benefit from this discussion.

teng125
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if i have a bending curve eqn of w'(x) = (q/6)<x-l>^3 - ql/4 <x-0>^3 - 3ql/4 <x-l>^2 + (9ql^3)/24

suppose to find the deflection of maximum of the beam, we have to set w'(0)=0 .Am i right??

then if it is right,how can i find the value for x on which the max bending occur because i don't know how to factorize the heaviside function such as <x-l>^3


anybody pls help
thanx
 
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