Maximum moment at a section due to 4 moving loads

Maximum moment due to 4 moving loads
4 moving loads

This calculator is to determine maximum bending moment (BM) at a specified section C of simply supported beam resting on two supports B and D due to 4 moving loads (P1, P2, P3, P4). It uses trial and error method to determine maximum bending moment value at the specified section C. In each trial, it places each load one by one at the section C and calculates the value of the ordinate of influence line diagram for different load positions and then the total load for that trial. Finally the maximum value out of these trials is taken as maximum bending moment at the section specified.

By default this calculator is using the units of load as 'kN', distances as 'm' and the bending moment as 'kNm'. However other units can also be used and the results will be in the corresponding units.

Please refer to the figure and enter the required values in the form given below and then click "Calculate".

INPUT VALUES
Distance L1 (m):
Distance L2 (m):
Distance L3 (m):
Distance L4 (m):
Distance L5 (m):
Load P1 (kN):
Load P2 (kN):
Load P3 (kN):
Load P4 (kN):

Please make sure that
all the values are Positive

OUTPUT RESULTS
Comment:
ILD ordinate at C, mC (kNm):
Trials for Bending Moment at C
Trial-1: Load P1 at C Distance of P1 from B (m):
Ordinate of ILD under P1 (kNm):
B.M. due to P1 (kNm):
Distance of P2 from B (m):
Ordinate of ILD under P2 (kNm):
B.M. due to P2 (kNm):
Distance of P3 from B (m):
Ordinate of ILD under P3 (kNm):
B.M. due to P3 (kNm):
Distance of P4 from B (m):
Ordinate of ILD under P4 (kNm):
B.M. due to P4 (kNm):
Trial-1 Total BM at C (kNm):
Trial-2: Load P2 at C Distance of P1 from B (m):
Ordinate of ILD under P1 (kNm):
B.M. due to P1 (kNm):
Distance of P2 from B (m):
Ordinate of ILD under P2 (kNm):
B.M. due to P2 (kNm):
Distance of P3 from B (m):
Ordinate of ILD under P3 (kNm):
B.M. due to P3 (kNm):
Distance of P4 from B (m):
Ordinate of ILD under P4 (kNm):
B.M. due to P4 (kNm):
Trial-2 Total BM at C (kNm):
Trial-3: Load P3 at C Distance of P1 from B (m):
Ordinate of ILD under P1 (kNm):
B.M. due to P1 (kNm):
Distance of P2 from B (m):
Ordinate of ILD under P2 (kNm):
B.M. due to P2 (kNm):
Distance of P3 from B (m):
Ordinate of ILD under P3 (kNm):
B.M. due to P3 (kNm):
Distance of P4 from B (m):
Ordinate of ILD under P4 (kNm):
B.M. due to P4 (kNm):
Trial-3 Total BM at C (kNm):
Trial-4: Load P4 at C Distance of P1 from B (m):
Ordinate of ILD under P1 (kNm):
B.M. due to P1 (kNm):
Distance of P2 from B (m):
Ordinate of ILD under P2 (kNm):
B.M. due to P2 (kNm):
Distance of P3 from B (m):
Ordinate of ILD under P3 (kNm):
B.M. due to P3 (kNm):
Distance of P4 from B (m):
Ordinate of ILD under P4 (kNm):
B.M. due to P4 (kNm):
Trial-4 Total BM at C (kNm):
Maximum BM at C (kNm):

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