Deflection for Transverse Loading given Deflection for Axial Bending Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load))
d0 = δ*(1-(P/Pc))
This formula uses 4 Variables
Variables Used
Deflection for Transverse Loading Alone - (Measured in Meter) - Deflection for Transverse Loading Alone is defined as the deflections caused in the beam due to the transverse load alone.
Deflection of Beam - (Measured in Meter) - Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body.
Axial Load - (Measured in Newton) - Axial Load is a force applied on a structure directly along an axis of the structure.
Critical Buckling Load - (Measured in Newton) - Critical Buckling Load is the maximum load that a column can take before deformation.
STEP 1: Convert Input(s) to Base Unit
Deflection of Beam: 5 Millimeter --> 0.005 Meter (Check conversion here)
Axial Load: 2000 Newton --> 2000 Newton No Conversion Required
Critical Buckling Load: 12000 Newton --> 12000 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d0 = δ*(1-(P/Pc)) --> 0.005*(1-(2000/12000))
Evaluating ... ...
d0 = 0.00416666666666667
STEP 3: Convert Result to Output's Unit
0.00416666666666667 Meter -->4.16666666666667 Millimeter (Check conversion here)
FINAL ANSWER
4.16666666666667 4.166667 Millimeter <-- Deflection for Transverse Loading Alone
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Cummins College of Engineering for Women (CCEW), Pune
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19 Combined Axial and Bending Loads Calculators

Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams
Go Distance from Neutral Axis = ((Maximum Stress*Cross Sectional Area*Area Moment of Inertia)-(Axial Load*Area Moment of Inertia))/(Maximum Bending Moment*Cross Sectional Area)
Maximum Stress in Short Beams for Large Deflection
Go Maximum Stress = (Axial Load/Cross Sectional Area)+(((Maximum Bending Moment+Axial Load*Deflection of Beam)*Distance from Neutral Axis)/Area Moment of Inertia)
Neutral Axis Moment of Inertia given Maximum Stress for Short Beams
Go Area Moment of Inertia = (Maximum Bending Moment*Cross Sectional Area*Distance from Neutral Axis)/((Maximum Stress*Cross Sectional Area)-(Axial Load))
Axial Load given Maximum Stress for Short Beams
Go Axial Load = Cross Sectional Area*(Maximum Stress -((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))
Maximum Bending Moment given Maximum Stress for Short Beams
Go Maximum Bending Moment = ((Maximum Stress-(Axial Load/Cross Sectional Area))*Area Moment of Inertia)/Distance from Neutral Axis
Cross-Sectional Area given Maximum Stress for Short Beams
Go Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia))
Maximum Stress for Short Beams
Go Maximum Stress = (Axial Load/Cross Sectional Area)+((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)
Young's Modulus given Distance from Extreme Fiber along with Radius and Stress Induced
Go Young's Modulus = ((Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Distance from Neutral Axis)
Stress Induced with known Distance from Extreme Fiber, Young's Modulus and Radius of curvature
Go Fibre Stress at Distance ‘y’ from NA = (Young's Modulus*Distance from Neutral Axis)/Radius of Curvature
Distance from Extreme Fiber given Young's Modulus along with Radius and Stress Induced
Go Distance from Neutral Axis = (Radius of Curvature*Fibre Stress at Distance ‘y’ from NA)/Young's Modulus
Deflection for Transverse Loading given Deflection for Axial Bending
Go Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load))
Deflection for Axial Compression and Bending
Go Deflection of Beam = Deflection for Transverse Loading Alone/(1-(Axial Load/Critical Buckling Load))
Distance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress
Go Distance from Neutral Axis = (Area Moment of Inertia*Bending Stress)/Moment of Resistance
Moment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber
Go Area Moment of Inertia = (Distance from Neutral Axis*Moment of Resistance)/Bending Stress
Stress Induced using Moment of Resistance, Moment of Inertia and Distance from Extreme Fiber
Go Bending Stress = (Distance from Neutral Axis*Moment of Resistance)/Area Moment of Inertia
Moment of Resistance in Bending Equation
Go Moment of Resistance = (Area Moment of Inertia*Bending Stress)/Distance from Neutral Axis
Young's Modulus using Moment of Resistance, Moment of Inertia and Radius
Go Young's Modulus = (Moment of Resistance*Radius of Curvature)/Area Moment of Inertia
Moment of Resistance given Young's Modulus, Moment of Inertia and Radius
Go Moment of Resistance = (Area Moment of Inertia*Young's Modulus)/Radius of Curvature
Moment of Inertia given Young's Modulus, Moment of Resistance and Radius
Go Area Moment of Inertia = (Moment of Resistance*Radius of Curvature)/Young's Modulus

Deflection for Transverse Loading given Deflection for Axial Bending Formula

Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load))
d0 = δ*(1-(P/Pc))

What is a Transverse Loading?

Transverse loading is defined as the Forces applied perpendicular to the longitudinal axis of a member. Transverse loading causes the member to bend and deflect from its original position, with internal tensile and compressive strains accompanying the change in curvature of the member.

Define Axial Load

An Axial Load is the compression or tension force acting on a member. If the axial load acts through the centroid of the member it is called concentric loading. If the force is not acting through the centroid, it's called eccentric loading. Eccentric loading produces a moment in the beam as a result of the load being a distance away from the centroid.

How to Calculate Deflection for Transverse Loading given Deflection for Axial Bending?

Deflection for Transverse Loading given Deflection for Axial Bending calculator uses Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load)) to calculate the Deflection for Transverse Loading Alone, The Deflection for Transverse Loading given Deflection for Axial Bending formula is defined as the degree to which an element of structure changes shape when a load is applied. Deflection for Transverse Loading Alone is denoted by d0 symbol.

How to calculate Deflection for Transverse Loading given Deflection for Axial Bending using this online calculator? To use this online calculator for Deflection for Transverse Loading given Deflection for Axial Bending, enter Deflection of Beam (δ), Axial Load (P) & Critical Buckling Load (Pc) and hit the calculate button. Here is how the Deflection for Transverse Loading given Deflection for Axial Bending calculation can be explained with given input values -> 4166.667 = 0.005*(1-(2000/12000)).

FAQ

What is Deflection for Transverse Loading given Deflection for Axial Bending?
The Deflection for Transverse Loading given Deflection for Axial Bending formula is defined as the degree to which an element of structure changes shape when a load is applied and is represented as d0 = δ*(1-(P/Pc)) or Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load)). Deflection of Beam Deflection is the movement of a beam or node from its original position. It happens due to the forces and loads being applied to the body, Axial Load is a force applied on a structure directly along an axis of the structure & Critical Buckling Load is the maximum load that a column can take before deformation.
How to calculate Deflection for Transverse Loading given Deflection for Axial Bending?
The Deflection for Transverse Loading given Deflection for Axial Bending formula is defined as the degree to which an element of structure changes shape when a load is applied is calculated using Deflection for Transverse Loading Alone = Deflection of Beam*(1-(Axial Load/Critical Buckling Load)). To calculate Deflection for Transverse Loading given Deflection for Axial Bending, you need Deflection of Beam (δ), Axial Load (P) & Critical Buckling Load (Pc). With our tool, you need to enter the respective value for Deflection of Beam, Axial Load & Critical Buckling Load 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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