MrMaturity
Structural
- Jan 16, 2016
- 3
Hi everyone,
Sorry if this has been answered before, search didn't turn up any results.
Anyway, taken some time during this Christmas break to study up on some structural mechanics and make sure I haven't forgotten everything. I've been having a look at the deflection of a simply supported beam with two equal, unevenly spaced point loads.
I can't seem to find a formula for that exact condition so I have used the formula for a single point load and then applied superposition to find the resultant deflection.
The formula I am using is P*L^3*Alpha/48*E*I where Alpha= 3*b/L - 4b^3/L^3 when a>b
The problem that I am facing is that I've had a look at a colleagues work as an example and they have not used superposition, they have simply found the Alpha for each of the point loads then applied it with in the one formula, as below.
(Alpha1*P1 + Alpha2*P2)*L^3/48*E*I
I am trying to work out if I've gone insane and am forgetting something basic or if my colleague has made a mistake.
Thanks in advance
Sorry if this has been answered before, search didn't turn up any results.
Anyway, taken some time during this Christmas break to study up on some structural mechanics and make sure I haven't forgotten everything. I've been having a look at the deflection of a simply supported beam with two equal, unevenly spaced point loads.
I can't seem to find a formula for that exact condition so I have used the formula for a single point load and then applied superposition to find the resultant deflection.
The formula I am using is P*L^3*Alpha/48*E*I where Alpha= 3*b/L - 4b^3/L^3 when a>b
The problem that I am facing is that I've had a look at a colleagues work as an example and they have not used superposition, they have simply found the Alpha for each of the point loads then applied it with in the one formula, as below.
(Alpha1*P1 + Alpha2*P2)*L^3/48*E*I
I am trying to work out if I've gone insane and am forgetting something basic or if my colleague has made a mistake.
Thanks in advance
