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BackSimple beam - Two equal concentrated loads unsymmetrically placed II Calculator
Formula
| Quantity | Formula |
|---|---|
| Moment \(M_{CD}\) | \(M_{CD} = R_{A} \cdot x - P_{1} \cdot (x - a)\) |
| Moment \(M_{DB}\) | \(M_{DB} = R_{B} \cdot (L - x)\) |
| Shear \(V_{AC}\) | \(V_{AC} = R_{A}\) |
| Shear \(V_{CD}\) | \(V_{CD} = R_{A} - P_{1}\) |
| Shear \(V_{DB}\) | \(V_{DB} = -R_{B}\) |
| Reaction \(R_{A}\) | \(R_{A} = \frac{P_{1}(L - a) + P_{2}b}{L}\) |
| Reaction \(R_{B}\) | \(R_{B} = \frac{P_{2}(L - b) + P_{1}a}{L}\) |
Definitions
| Symbol | Physical quantity | Units |
|---|---|---|
| E·I | Flexural rigidity | N·m², Pa·m⁴ |
| y | Deflection or deformation | m |
| θ | Slope, Angle of rotation | - |
| x | Distance from support (origin) | m |
| L | Length of beam (without overhang) | m |
| M | Moment, Bending moment, Couple moment applied | N·m |
| P | Concentrated load, Point load, Concentrated force | N |
| w | Distributed load, Load per unit length | N/m |
| R | Reaction load, reaction force | N |
| V | Shear force, shear | N |