Solve Shear Stress Eqn Using Singularities/Heaviside Function

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Discussion Overview

The discussion revolves around solving a shear stress equation using singularities or the Heaviside function, with a focus on homework assistance related to beam loading and shear force calculations.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant requests help in writing the shear stress equation using singularities or the Heaviside function, referring to an attached file.
  • Another participant reminds that the forum is for homework help rather than completing assignments for others.
  • A participant questions what specific aspect the original poster is struggling with, implying that the procedure may be standard.
  • One participant proposes a load density function, suggesting that it should account for the contributions of forces acting in different directions and provides a specific form for the function.
  • The same participant mentions the need to find shear force V(x) and moment M(x) and suggests drawing shear and moment diagrams as part of the solution process.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific formulation of the shear stress equation or the approach to solving it, as there are differing levels of understanding and contributions regarding the problem.

Contextual Notes

There are unresolved assumptions regarding the definitions of variables and the specific conditions of the beam loading scenario. The discussion does not clarify the mathematical steps necessary to derive the shear stress equation fully.

teng125
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http://www.savefiles.net/d/ieiwoixnjfw.html

Can anybody pls write for me the shear stress eqn using singularities or heaviside function in which i have attach the in the file above

pls help

thanx
 
Last edited by a moderator:
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This is the homework help, not the do your homework forum.
 
Looks like standard procedure to me?, on what exactly are you stuck?
 
the equation for the middle part where the joint forces between the upper and lower force.Should i write 2q<x-l>^0 or any others??
 
Taking downward direction as a positive direction, the load density function should be

[tex]q(x)=q_{0}-q_{0}(x-l)^0-q_{0}(x-l)^0=q_{0}-2q_{0}(x-l)^0[/tex]

Note that the [tex]q_{0}[/tex] is contributed by the upper distributed force, the first [tex]q_{0}(x-l)^0[/tex] is to diminish the effect of [tex]q_{0}[/tex] at position along the beam [tex]x=l[/tex] while the second [tex]q_{0}(x-l)^0[/tex] is the lower distributed force that acting in an upward direction, which means the negative direction here by convention.


Then, proceed to find [tex]V(x)[/tex] and [tex]M(x)[/tex]. Finally, draw the shear and moment diagrams.
 
Last edited:
ok...thanx
 

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