Instructions |

For calculation of reactions, shear forces, bending moments and
deflections of simply supported beam with or without overhang, at the first step one has to enter the length of the beam L, distance between pin supports l (the left support should be located at the left end of the beam), number of couples (external moments), concentrated and distributed loads, which are applied to the beam and submit these data. At the next steps user has to enter characteristics of each load: the values M and coordinates _{i}a of the external moments, the values _{i}F and coordinates _{i}b of the concentrated loads, left _{i}q and right _{Li}q values of the linearly distributed loads and corresponding left _{Ri}c and right _{i}d coordinates of the distributed loads. User should submit these data for each _{i}i-th load. For the uniform distributed load assume q, for the beam without overhang _{Li}=q_{Ri}L=l.
All coordinates must be positive and less then or equal to the length of the beam. According to the figure they are the distances of the load points from the left end of the beam. All load directions shown in the figure are positive. Use negative values entering data for loads with the opposite directions. There are no restrictions on the total number of loads except the readability of the obtained result.
Please use the same system of units throughout the calculation. For instance, if you use force unit
For statically determined beams, shear forces and bending moments do not depend on such structure properties as elasticity modulus of material EIv) should be divided by EI.
As a result you will obtain reactions, shear force, bending moment and deflection diagrams, extreme values of these functions as well as their values at the ends of each segment of the beam. In addition all steps of the solution will be represented by formulas. |