Solve Shear Stress Eqn Using Singularities/Heaviside Function

AI Thread Summary
The discussion focuses on solving the shear stress equation using singularities or the Heaviside function, specifically for a beam with joint forces. Participants clarify the load density function, indicating that it should account for both the upper and lower distributed forces. The equation proposed includes terms that adjust the effects of these forces at specific positions along the beam. Additionally, there is guidance on deriving the shear force V(x) and bending moment M(x) from the load density function. The conversation emphasizes the importance of drawing shear and moment diagrams as part of the solution process.
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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
 
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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

q(x)=q_{0}-q_{0}(x-l)^0-q_{0}(x-l)^0=q_{0}-2q_{0}(x-l)^0

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


Then, proceed to find V(x) and M(x). Finally, draw the shear and moment diagrams.
 
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ok...thanx
 

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