Axial thrust given maximum stress for strut subjected to uniformly distributed load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area
Paxial = (σbmax-(M*c/I))*Asectional
This formula uses 6 Variables
Variables Used
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.
Maximum bending stress - (Measured in Pascal) - Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.
Distance from Neutral Axis to Extreme Point - (Measured in Meter) - Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.
Moment of Inertia Column - (Measured in Meter⁴) - Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
STEP 1: Convert Input(s) to Base Unit
Maximum bending stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)
Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Distance from Neutral Axis to Extreme Point: 10 Millimeter --> 0.01 Meter (Check conversion here)
Moment of Inertia Column: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Paxial = (σbmax-(M*c/I))*Asectional --> (2000000-(16*0.01/5.6E-05))*1.4
Evaluating ... ...
Paxial = 2796000
STEP 3: Convert Result to Output's Unit
2796000 Newton --> No Conversion Required
FINAL ANSWER
2796000 2.8E+6 Newton <-- Axial Thrust
(Calculation completed in 00.020 seconds)

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25 Strut Subjected To Compressive Axial Thrust And A Transverse Uniformly Distributed Load Calculators

Maximum deflection for strut subjected to compressive axial and uniformly distributed load
Go Maximum initial deflection = (Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(Load Intensity*(Column Length^2)/(8*Axial Thrust))
Load intensity given max deflection for strut subjected to uniformly distributed load
Go Load Intensity = Maximum initial deflection/((1*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(1*(Column Length^2)/(8*Axial Thrust)))
Maximum bending moment for strut subjected to compressive axial and uniformly distributed load
Go Maximum Bending Moment In Column = -Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)
Load intensity given max bending moment for strut subjected to uniformly distributed load
Go Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)
Bending moment at section for strut subjected to compressive axial and uniformly distributed load
Go Bending Moment in Column = -(Axial Thrust*Deflection at Section)+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2)))
Deflection at section for strut subjected to compressive axial and uniformly distributed load
Go Deflection at Section = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Axial Thrust
Axial thrust for strut subjected to compressive axial and uniformly distributed load
Go Axial Thrust = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Deflection at Section
Length of column for strut subjected to compressive axial and uniformly distributed load
Go Column Length = (((Distance of deflection from end A^2)/2)-((Bending Moment in Column+(Axial Thrust*Deflection at Section))/Load Intensity))*2/Distance of deflection from end A
Load intensity for strut subjected to compressive axial and uniformly distributed load
Go Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section))/(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))
Moment of inertia given maximum stress for strut subjected to uniformly distributed load
Go Moment of Inertia Column = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))))
Distance of extreme layer from NA given max stress for strut under uniformly distributed load
Go Distance from Neutral Axis to Extreme Point = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Maximum Bending Moment In Column)
Maximum bending moment given max stress for strut subjected to uniformly distributed load
Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Distance from Neutral Axis to Extreme Point)
Cross-sectional area given maximum stress for strut subjected to uniformly distributed load
Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))
Maximum stress for strut subjected to compressive axial and uniformly distributed load
Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column)
Axial thrust given maximum stress for strut subjected to uniformly distributed load
Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area
Length of column given max bending moment for strut subjected to uniformly distributed load
Go Column Length = sqrt(((Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/(Load Intensity))
Maximum bending moment given elastic modulus for strut subjected to uniformly distributed load
Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Modulus of Elasticity Column
Cross-sectional area given elastic modulus for strut subjected to uniformly distributed load
Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))
Maximum stress given elastic modulus for strut subjected to uniformly distributed load
Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column)
Elastic modulus given maximum stress for strut subjected to uniformly distributed load
Go Modulus of Elasticity Column = Maximum Bending Moment In Column/(Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))
Axial thrust given elastic modulus for strut subjected to uniformly distributed load
Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))*Column Cross Sectional Area
Load intensity given maximum bending moment for strut subjected to uniformly distributed load
Go Load Intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
Maximum deflection given max bending moment for strut subjected to uniformly distributed load
Go Maximum initial deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust)
Axial thrust given maximum bending moment for strut subjected to uniformly distributed load
Go Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum initial deflection)
Maximum bending moment given max deflection for strut subjected to uniformly distributed load
Go Maximum Bending Moment In Column = -(Axial Thrust*Maximum initial deflection)-(Load Intensity*(Column Length^2)/8)

Axial thrust given maximum stress for strut subjected to uniformly distributed load Formula

Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area
Paxial = (σbmax-(M*c/I))*Asectional

What is axial thrust?

Axial thrust refers to a propelling force applied along the axis (also called axial direction) of an object to push the object against a platform in a particular direction.

How to Calculate Axial thrust given maximum stress for strut subjected to uniformly distributed load?

Axial thrust given maximum stress for strut subjected to uniformly distributed load calculator uses Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area to calculate the Axial Thrust, The Axial thrust given maximum stress for strut subjected to uniformly distributed load formula is defined as a propelling force applied along the axis (also called axial direction) of an object to push the object against a platform in a particular direction. Axial Thrust is denoted by Paxial symbol.

How to calculate Axial thrust given maximum stress for strut subjected to uniformly distributed load using this online calculator? To use this online calculator for Axial thrust given maximum stress for strut subjected to uniformly distributed load, enter Maximum bending stress (σbmax), Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c), Moment of Inertia Column (I) & Column Cross Sectional Area (Asectional) and hit the calculate button. Here is how the Axial thrust given maximum stress for strut subjected to uniformly distributed load calculation can be explained with given input values -> 2.8E+6 = (2000000-(16*0.01/5.6E-05))*1.4.

FAQ

What is Axial thrust given maximum stress for strut subjected to uniformly distributed load?
The Axial thrust given maximum stress for strut subjected to uniformly distributed load formula is defined as a propelling force applied along the axis (also called axial direction) of an object to push the object against a platform in a particular direction and is represented as Paxial = (σbmax-(M*c/I))*Asectional or Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area. Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend, Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment, Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point, Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis & Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
How to calculate Axial thrust given maximum stress for strut subjected to uniformly distributed load?
The Axial thrust given maximum stress for strut subjected to uniformly distributed load formula is defined as a propelling force applied along the axis (also called axial direction) of an object to push the object against a platform in a particular direction is calculated using Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area. To calculate Axial thrust given maximum stress for strut subjected to uniformly distributed load, you need Maximum bending stress (σbmax), Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c), Moment of Inertia Column (I) & Column Cross Sectional Area (Asectional). With our tool, you need to enter the respective value for Maximum bending stress, Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point, Moment of Inertia Column & Column Cross Sectional Area 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 Axial Thrust?
In this formula, Axial Thrust uses Maximum bending stress, Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point, Moment of Inertia Column & Column Cross Sectional Area. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Axial Thrust = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Deflection at Section
  • Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum initial deflection)
  • Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))*Column Cross Sectional Area
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