CE Calculators > Maximum B.M. at a section in simple beam > due to 5 moving loads

Maximum moment at a section due to 5 moving loads

Maximum moment due to 5 moving loads This calculator is to determine maximum bending moment (B.M.) at a specified section C of simply supported beam resting on two supports B and D due to 5 moving loads (P1, P2, P3, P4, P5). 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):
Distance L6 (m):

all the values are greater than zero

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):
Distance of P5 from B (m):
Ordinate of ILD under P5 (kNm):
B.M. due to P5 (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):
Distance of P5 from B (m):
Ordinate of ILD under P5 (kNm):
B.M. due to P5 (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):
Distance of P5 from B (m):
Ordinate of ILD under P5 (kNm):
B.M. due to P5 (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):
Distance of P5 from B (m):
Ordinate of ILD under P5 (kNm):
B.M. due to P5 (kNm):
Trial-4 Total BM at C (kNm):
Trial-5: Load P5 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):
Distance of P5 from B (m):
Ordinate of ILD under P5 (kNm):
B.M. due to P5 (kNm):
Trial-5 Total BM at C (kNm):
Maximum BM at C (kNm):

You are also welcome to send your Feedback

#### Other Calculators for Analysis of Moving Loads

Stress Transformation Calculator
Calculate Principal Stress, Maximum shear stress and the their planes

To determine Absolute Max. B.M. due to moving loads.

Bending Moment Calculator
Calculate bending moment & shear force for simply supported beam

Moment of Inertia Calculator
Calculate moment of inertia of plane sections e.g. channel, angle, tee etc.

Reinforced Concrete Calculator
Calculate the strength of Reinforced concrete beam

Deflection & Slope Calculator
Calculate deflection and slope of simply supported beam for many load cases

Fixed Beam Calculator
Calculation tool for beanding moment and shear force for Fixed Beam for many load cases

BM & SF Calculator for Cantilever
Calculate SF & BM for Cantilever

Deflection & Slope Calculator for Cantilever
For many load cases of Cantilever

Overhanging beam calculator
For SF & BM of many load cases of overhanging beam

Civil Engineering Quiz
Test your knowledge on different topics of Civil Engineering

Statically Indeterminate Structures
Definition and methods of solving

#### Solved Examples

Truss Member Forces calculation
using method of joints and method of sections

Shear force and bending moment
Illustrated solved examples to draw shear force and bending moment diagrams

Slope and deflection of beam and Truss
Illustrated solved examples to determine slope and deflection of beam and truss

Solution of indeterminate structures
slope deflection, moment distribution etc.

Reinforced concrete beam
Solved examples to determine the strength and other parameters