Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Calculator

✖Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.ⓘ Point Load [P]			+10% -10%
✖The Distance from support A is the distance between support to point of calculation.ⓘ Distance from Support A [a]			+10% -10%
✖The Distance from support B is the distance between support to point of calculation.ⓘ Distance from Support B [b]			+10% -10%
✖Length of Beam is defined as the distance between the supports.ⓘ Length of Beam [L]			+10% -10%

✖Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support [M]

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Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam
M = (P*a*b)/L
This formula uses 5 Variables

Variables Used

Bending Moment - (Measured in Newton Meter) - Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Point Load - (Measured in Newton) - Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.
Distance from Support A - (Measured in Meter) - The Distance from support A is the distance between support to point of calculation.
Distance from Support B - (Measured in Meter) - The Distance from support B is the distance between support to point of calculation.
Length of Beam - (Measured in Meter) - Length of Beam is defined as the distance between the supports.

STEP 1: Convert Input(s) to Base Unit

Point Load: 88 Kilonewton --> 88000 Newton (Check conversion here)
Distance from Support A: 2250 Millimeter --> 2.25 Meter (Check conversion here)
Distance from Support B: 350 Millimeter --> 0.35 Meter (Check conversion here)
Length of Beam: 2600 Millimeter --> 2.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (P*a*b)/L --> (88000*2.25*0.35)/2.6

Evaluating ... ...

M = 26653.8461538462

STEP 3: Convert Result to Output's Unit

26653.8461538462 Newton Meter -->26.6538461538462 Kilonewton Meter (Check conversion here)

FINAL ANSWER

26.6538461538462 ≈ 26.65385 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.020 seconds)

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Birla Institute of Technology & Science (BITS), Hyderabad

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< Beam Moments Calculators

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Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Formula

LaTeX Go

Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam
M = (P*a*b)/L

What is Bending Moment Simply Supported Beam Subjected to a Concentrated Load?

The Bending moment is the reaction induced in a structural element when a concentrated point load is applied to the beam, causing the beam to sag.

How to Calculate Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support calculator uses Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam to calculate the Bending Moment, The Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending Moment is denoted by M symbol.

How to calculate Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support using this online calculator? To use this online calculator for Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support, enter Point Load (P), Distance from Support A (a), Distance from Support B (b) & Length of Beam (L) and hit the calculate button. Here is how the Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support calculation can be explained with given input values -> 0.026654 = (88000*2.25*0.35)/2.6.

FAQ

What is Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

The Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M = (P*a*b)/L or Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam. Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam, The Distance from support A is the distance between support to point of calculation, The Distance from support B is the distance between support to point of calculation & Length of Beam is defined as the distance between the supports.

How to calculate Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

The Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam. To calculate Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support, you need Point Load (P), Distance from Support A (a), Distance from Support B (b) & Length of Beam (L). With our tool, you need to enter the respective value for Point Load, Distance from Support A, Distance from Support B & Length of Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Moment?

In this formula, Bending Moment uses Point Load, Distance from Support A, Distance from Support B & Length of Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Bending Moment = (Point Load*Length of Beam)/4
Bending Moment = (Load per Unit Length*Length of Beam^2)/8
Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))

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