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Maximum Bending Moment at Distance x from End A Calculator

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Uniformly Distributed Load Acting Over a Simply Supported Shaft General Shaft Shaft Fixed at Both Ends Carrying a Uniformly Distributed Load Shaft Subjected to a Number of Point Loads

✖Load per unit length is the force per unit length applied to a system, affecting its natural frequency of free transverse vibrations.ⓘ Load per unit length [w]			+10% -10%
✖Distance of small section of shaft from end A is the length of a small section of shaft measured from end A in free transverse vibrations.ⓘ Distance of Small Section of Shaft from End A [x]			+10% -10%
✖Length of Shaft is the distance from the axis of rotation to the point of maximum vibration amplitude in a transversely vibrating shaft.ⓘ Length of Shaft [L_shaft]			+10% -10%

✖Bending Moment is the rotational force that causes deformation in a beam during natural frequency of free transverse vibrations, affecting its stiffness and stability.ⓘ Maximum Bending Moment at Distance x from End A [M_b]

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Maximum Bending Moment at Distance x from End A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Load per unit length*Distance of Small Section of Shaft from End A^2)/2-(Load per unit length*Length of Shaft*Distance of Small Section of Shaft from End A)/2
M_b = (w*x^2)/2-(w*L_shaft*x)/2
This formula uses 4 Variables

Variables Used

Bending Moment - (Measured in Newton Meter) - Bending Moment is the rotational force that causes deformation in a beam during natural frequency of free transverse vibrations, affecting its stiffness and stability.
Load per unit length - Load per unit length is the force per unit length applied to a system, affecting its natural frequency of free transverse vibrations.
Distance of Small Section of Shaft from End A - (Measured in Meter) - Distance of small section of shaft from end A is the length of a small section of shaft measured from end A in free transverse vibrations.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance from the axis of rotation to the point of maximum vibration amplitude in a transversely vibrating shaft.

STEP 1: Convert Input(s) to Base Unit

Load per unit length: 3 --> No Conversion Required
Distance of Small Section of Shaft from End A: 5 Meter --> 5 Meter No Conversion Required
Length of Shaft: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = (w*x^2)/2-(w*L_shaft*x)/2 --> (3*5^2)/2-(3*3.5*5)/2

Evaluating ... ...

M_b = 11.25

STEP 3: Convert Result to Output's Unit

11.25 Newton Meter --> No Conversion Required

FINAL ANSWER

11.25 Newton Meter <-- Bending Moment

(Calculation completed in 00.004 seconds)

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< Uniformly Distributed Load Acting Over a Simply Supported Shaft Calculators

Length of Shaft given Static Deflection

LaTeX Go Length of Shaft = ((Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(5*Load per unit length))^(1/4)

Uniformly Distributed Load Unit Length given Static Deflection

LaTeX Go Load per unit length = (Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(5*Length of Shaft^4)

Circular Frequency given Static Deflection

LaTeX Go Natural Circular Frequency = 2*pi*0.5615/(sqrt(Static Deflection))

Natural Frequency given Static Deflection

LaTeX Go Frequency = 0.5615/(sqrt(Static Deflection))

Maximum Bending Moment at Distance x from End A Formula

LaTeX Go

What is meant by Bending Moment?

A bending moment (BM) is a measure of the bending effect that can occur when an external force (or moment) is applied to a structural element. This concept is important in structural engineering as it is can be used to calculate where, and how much bending may occur when forces are applied.

How to Calculate Maximum Bending Moment at Distance x from End A?

Maximum Bending Moment at Distance x from End A calculator uses Bending Moment = (Load per unit length*Distance of Small Section of Shaft from End A^2)/2-(Load per unit length*Length of Shaft*Distance of Small Section of Shaft from End A)/2 to calculate the Bending Moment, Maximum Bending Moment at Distance x from End A formula is defined as a measure of the maximum bending stress that occurs at a specific point along a shaft, typically in a mechanical system, due to external loads or forces, providing critical information for structural integrity and design considerations. Bending Moment is denoted by M_b symbol.

How to calculate Maximum Bending Moment at Distance x from End A using this online calculator? To use this online calculator for Maximum Bending Moment at Distance x from End A, enter Load per unit length (w), Distance of Small Section of Shaft from End A (x) & Length of Shaft (L_shaft) and hit the calculate button. Here is how the Maximum Bending Moment at Distance x from End A calculation can be explained with given input values -> 11.25 = (3*5^2)/2-(3*3.5*5)/2.

FAQ

What is Maximum Bending Moment at Distance x from End A?

Maximum Bending Moment at Distance x from End A formula is defined as a measure of the maximum bending stress that occurs at a specific point along a shaft, typically in a mechanical system, due to external loads or forces, providing critical information for structural integrity and design considerations and is represented as M_b = (w*x^2)/2-(w*L_shaft*x)/2 or Bending Moment = (Load per unit length*Distance of Small Section of Shaft from End A^2)/2-(Load per unit length*Length of Shaft*Distance of Small Section of Shaft from End A)/2. Load per unit length is the force per unit length applied to a system, affecting its natural frequency of free transverse vibrations, Distance of small section of shaft from end A is the length of a small section of shaft measured from end A in free transverse vibrations & Length of Shaft is the distance from the axis of rotation to the point of maximum vibration amplitude in a transversely vibrating shaft.

How to calculate Maximum Bending Moment at Distance x from End A?

Maximum Bending Moment at Distance x from End A formula is defined as a measure of the maximum bending stress that occurs at a specific point along a shaft, typically in a mechanical system, due to external loads or forces, providing critical information for structural integrity and design considerations is calculated using Bending Moment = (Load per unit length*Distance of Small Section of Shaft from End A^2)/2-(Load per unit length*Length of Shaft*Distance of Small Section of Shaft from End A)/2. To calculate Maximum Bending Moment at Distance x from End A, you need Load per unit length (w), Distance of Small Section of Shaft from End A (x) & Length of Shaft (L_shaft). With our tool, you need to enter the respective value for Load per unit length, Distance of Small Section of Shaft from End A & Length of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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