Bending Moment given Bending Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending moment in welded joint = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Distance of Point in Weld to Neutral Axis
Mb = I*σb/y
This formula uses 4 Variables
Variables Used
Bending moment in welded joint - (Measured in Newton Meter) - Bending moment in welded joint is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Moment of Inertia of Weld about Neutral Axis - (Measured in Meter⁴) - Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis.
Bending stress in welded joint - (Measured in Pascal) - Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend.
Distance of Point in Weld to Neutral Axis - (Measured in Meter) - Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.
STEP 1: Convert Input(s) to Base Unit
Moment of Inertia of Weld about Neutral Axis: 1500000 Millimeter⁴ --> 1.5E-06 Meter⁴ (Check conversion here)
Bending stress in welded joint: 130 Newton per Square Millimeter --> 130000000 Pascal (Check conversion here)
Distance of Point in Weld to Neutral Axis: 200 Millimeter --> 0.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mb = I*σb/y --> 1.5E-06*130000000/0.2
Evaluating ... ...
Mb = 975
STEP 3: Convert Result to Output's Unit
975 Newton Meter -->975000 Newton Millimeter (Check conversion here)
FINAL ANSWER
975000 Newton Millimeter <-- Bending moment in welded joint
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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8 Welded Joints Subjected to Bending Moment Calculators

Distance of Point in Weld from Neutral Axis given Bending Stress in Weld
Go Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint
Moment of Inertia of all Welds given Bending Moment
Go Moment of Inertia of Weld about Neutral Axis = Bending moment in welded joint*Distance of Point in Weld to Neutral Axis/Bending stress in welded joint
Bending Stress Caused Due to Bending Moment
Go Bending stress in welded joint = Bending moment in welded joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis
Bending Moment given Bending Stress
Go Bending moment in welded joint = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Distance of Point in Weld to Neutral Axis
Bending Stress given Resultant Shear Stress in Weld
Go Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2))
Primary Shear Stress given Resultant Shear Stress
Go Primary shear stress in weld = sqrt((Resultant shear stress in weld^2)-(Bending stress in welded joint^2)/4)
Resultant Shear Stress in Weld
Go Resultant shear stress in weld = sqrt((Bending stress in welded joint^2)/4+(Primary shear stress in weld^2))
Primary Shear Stress-induced due to Eccentric Load
Go Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds

Bending Moment given Bending Stress Formula

Bending moment in welded joint = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Distance of Point in Weld to Neutral Axis
Mb = I*σb/y

Define Bending Moment?

In solid mechanics, a 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. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Bending Moment given Bending Stress?

Bending Moment given Bending Stress calculator uses Bending moment in welded joint = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Distance of Point in Weld to Neutral Axis to calculate the Bending moment in welded joint, The Bending Moment given Bending Stress 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 in welded joint is denoted by Mb symbol.

How to calculate Bending Moment given Bending Stress using this online calculator? To use this online calculator for Bending Moment given Bending Stress, enter Moment of Inertia of Weld about Neutral Axis (I), Bending stress in welded joint b) & Distance of Point in Weld to Neutral Axis (y) and hit the calculate button. Here is how the Bending Moment given Bending Stress calculation can be explained with given input values -> 9.8E+8 = 1.5E-06*130000000/0.2.

FAQ

What is Bending Moment given Bending Stress?
The Bending Moment given Bending Stress 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 Mb = I*σb/y or Bending moment in welded joint = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Distance of Point in Weld to Neutral Axis. Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis, Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend & Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.
How to calculate Bending Moment given Bending Stress?
The Bending Moment given Bending Stress 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 in welded joint = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Distance of Point in Weld to Neutral Axis. To calculate Bending Moment given Bending Stress, you need Moment of Inertia of Weld about Neutral Axis (I), Bending stress in welded joint b) & Distance of Point in Weld to Neutral Axis (y). With our tool, you need to enter the respective value for Moment of Inertia of Weld about Neutral Axis, Bending stress in welded joint & Distance of Point in Weld to Neutral Axis 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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