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Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric. Check FAQs
M=(σbmax-(PaxialAsectional))Ic
M - Maximum Bending Moment In Column?σbmax - Maximum Bending Stress?Paxial - Axial Thrust?Asectional - Cross Sectional Area?I - Moment of Inertia?c - Distance from Neutral Axis to Extreme Point?

Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Example

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Here is how the Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load equation looks like with Values.

Here is how the Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load equation looks like with Units.

Here is how the Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load equation looks like.

11194Edit=(2Edit-(1500Edit1.4Edit))5600Edit10Edit
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Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?

FIRST Step Consider the formula
M=(σbmax-(PaxialAsectional))Ic
Next Step Substitute values of Variables
M=(2MPa-(1500N1.4))5600cm⁴10mm
Next Step Convert Units
M=(2E+6Pa-(1500N1.4))5.6E-5m⁴0.01m
Next Step Prepare to Evaluate
M=(2E+6-(15001.4))5.6E-50.01
LAST Step Evaluate
M=11194N*m

Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Formula Elements

Variables
Maximum Bending Moment In Column
Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.
Symbol: M
Measurement: Moment of ForceUnit: N*m
Note: Value should be greater than 0.
Maximum Bending Stress
Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.
Symbol: σbmax
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Axial Thrust
Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.
Symbol: Paxial
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Cross Sectional Area
Cross Sectional Area of Column is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.
Symbol: Asectional
Measurement: AreaUnit:
Note: Value should be greater than 0.
Moment of Inertia
Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Symbol: I
Measurement: Second Moment of AreaUnit: cm⁴
Note: Value should be greater than 0.
Distance from Neutral Axis to Extreme Point
Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.
Symbol: c
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Maximum Bending Moment In Column

​Go Maximum Bending Moment for Strut Subjected to Compressive Axial and Uniformly Distributed Load
M=-qf(εcolumnIPaxial)((sec((lcolumn2)(PaxialεcolumnI)))-1)
​Go Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load
M=-(PaxialC)-(qflcolumn28)
​Go Maximum Bending Moment given Elastic Modulus for Strut subjected to Uniformly Distributed Load
M=(σbmax-(PaxialAsectional))εcolumn

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load category

​Go Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load
Mb=-(Paxialδ)+(qf((x22)-(lcolumnx2)))
​Go Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load
Paxial=-Mb+(qf((x22)-(lcolumnx2)))δ
​Go Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load
δ=-Mb+(qf((x22)-(lcolumnx2)))Paxial
​Go Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load
qf=Mb+(Paxialδ)(x22)-(lcolumnx2)

How to Evaluate Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?

Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load evaluator uses Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Distance from Neutral Axis to Extreme Point) to evaluate the Maximum Bending Moment In Column, The Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load formula is defined as the maximum moment that occurs in a strut when it is subjected to a combination of compressive axial thrust and a transverse uniformly distributed load, and is a critical parameter in determining the strut's structural integrity. Maximum Bending Moment In Column is denoted by M symbol.

How to evaluate Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load using this online evaluator? To use this online evaluator for Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load, enter Maximum Bending Stress (σbmax), Axial Thrust (Paxial), Cross Sectional Area (Asectional), Moment of Inertia (I) & Distance from Neutral Axis to Extreme Point (c) and hit the calculate button.

FAQs on Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load

What is the formula to find Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?
The formula of Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load is expressed as Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Distance from Neutral Axis to Extreme Point). Here is an example- 11194 = (2000000-(1500/1.4))*5.6E-05/(0.01).
How to calculate Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?
With Maximum Bending Stress (σbmax), Axial Thrust (Paxial), Cross Sectional Area (Asectional), Moment of Inertia (I) & Distance from Neutral Axis to Extreme Point (c) we can find Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load using the formula - Maximum Bending Moment In Column = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Distance from Neutral Axis to Extreme Point).
What are the other ways to Calculate Maximum Bending Moment In Column?
Here are the different ways to Calculate Maximum Bending Moment In Column-
  • Maximum Bending Moment In Column=-Load Intensity*(Modulus of Elasticity of Column*Moment of Inertia/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1)OpenImg
  • Maximum Bending Moment In Column=-(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8)OpenImg
  • Maximum Bending Moment In Column=(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Modulus of Elasticity of ColumnOpenImg
Can the Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load be negative?
No, the Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load, measured in Moment of Force cannot be negative.
Which unit is used to measure Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load?
Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load can be measured.
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