Absolute Maximum moment in a simple beam due to 3 moving loads
This calculator is to determine absolute maximum bending moment (BM) in a simply supported beam with span L due to 3 moving loads (P1, P2, P3). We know that maximum BM under a moving load occures when this load and the resultant (centroid) of the load system are placed equidistant from the beam center. Initially the calculator determines the position of resultant (FR) i.e. centroid with reference to the leading load P1. It also determines the position of centroid with reference to all the loads. If the distance of a load from the centroid is +ve, it is on the right of the centroid whereas if this distance is negative that load is on the left of the resultant. The concept of influence line diagram (ILD) is used to determine values of BM. This calculator uses trial and error method to determine the maximum BM under each load and finally the maximum of all the trials is taken as the absolute maximum bending moment. It also tells under which load the absolute maximum BM occures and what is its location from support A. Please note that this calcultor works when the distance between the first and last load is not more than the mid-span.
By default this calculator is using the units of load as 'kN', distance as 'm' and BM as 'kNm'. Other units like kip for load, ft for distance and ft-kip for BM can also be used to get the result in the relevant units without affecting the calculated values.
Please refer to the figure and enter the required values in the form given below and then click "Calculate".
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