Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Solution

STEP 0: Pre-Calculation Summary
Formula Used
Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section)
Pcompressive = -(Mb+(Wp*x/2))/(δ)
This formula uses 5 Variables
Variables Used
Column Compressive Load - (Measured in Newton) - Column Compressive Load is the load applied to a column that is compressive in nature.
Bending Moment in Column - (Measured in Newton Meter) - Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the element, causing the element to bend.
Greatest Safe Load - (Measured in Newton) - Greatest Safe Load is the maximum safe point load allowable at the center of the beam.
Distance of Deflection from end A - (Measured in Meter) - Distance of Deflection from end A is the distance x of deflection from end A.
Deflection at Column Section - (Measured in Meter) - Deflection at Column Section is the lateral displacement at the section of the column.
STEP 1: Convert Input(s) to Base Unit
Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Greatest Safe Load: 0.1 Kilonewton --> 100 Newton (Check conversion ​here)
Distance of Deflection from end A: 35 Millimeter --> 0.035 Meter (Check conversion ​here)
Deflection at Column Section: 12 Millimeter --> 0.012 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pcompressive = -(Mb+(Wp*x/2))/(δ) --> -(48+(100*0.035/2))/(0.012)
Evaluating ... ...
Pcompressive = -4145.83333333333
STEP 3: Convert Result to Output's Unit
-4145.83333333333 Newton -->-4.14583333333333 Kilonewton (Check conversion ​here)
FINAL ANSWER
-4.14583333333333 -4.145833 Kilonewton <-- Column Compressive Load
(Calculation completed in 00.020 seconds)

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Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre Calculators

Deflection at Section for Strut with Axial and Transverse Point Load at Center
​ LaTeX ​ Go Deflection at Column Section = Column Compressive Load-(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Column Compressive Load)
Compressive Axial Load for Strut with Axial and Transverse Point Load at Center
​ LaTeX ​ Go Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section)
Transverse Point Load for Strut with Axial and Transverse Point Load at Center
​ LaTeX ​ Go Greatest Safe Load = (-Bending Moment in Column-(Column Compressive Load*Deflection at Column Section))*2/(Distance of Deflection from end A)
Bending Moment at Section for Strut with Axial and Transverse Point Load at Center
​ LaTeX ​ Go Bending Moment in Column = -(Column Compressive Load*Deflection at Column Section)-(Greatest Safe Load*Distance of Deflection from end A/2)

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center Formula

​LaTeX ​Go
Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section)
Pcompressive = -(Mb+(Wp*x/2))/(δ)

What is Compressive Axial Load?

A Compressive Axial Load is a force applied along the axis of a structural element, such as a column, beam, or strut, which tends to shorten or compress the member. It is a type of load that acts uniformly in the same direction as the longitudinal axis of the element, resulting in compressive stresses throughout the material. This load causes the member to reduce in length, and if the load is high enough, it can lead to failure by crushing, buckling, or other modes of compressive failure.

How to Calculate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?

Compressive Axial Load for Strut with Axial and Transverse Point Load at Center calculator uses Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section) to calculate the Column Compressive Load, The Compressive Axial Load for Strut with Axial and Transverse Point Load at Center formula is defined as the maximum load that a strut can withstand when subjected to both compressive axial thrust and a transverse point load at its center, providing a critical value for structural integrity and stability analysis. Column Compressive Load is denoted by Pcompressive symbol.

How to calculate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center using this online calculator? To use this online calculator for Compressive Axial Load for Strut with Axial and Transverse Point Load at Center, enter Bending Moment in Column (Mb), Greatest Safe Load (Wp), Distance of Deflection from end A (x) & Deflection at Column Section (δ) and hit the calculate button. Here is how the Compressive Axial Load for Strut with Axial and Transverse Point Load at Center calculation can be explained with given input values -> -0.004146 = -(48+(100*0.035/2))/(0.012).

FAQ

What is Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?
The Compressive Axial Load for Strut with Axial and Transverse Point Load at Center formula is defined as the maximum load that a strut can withstand when subjected to both compressive axial thrust and a transverse point load at its center, providing a critical value for structural integrity and stability analysis and is represented as Pcompressive = -(Mb+(Wp*x/2))/(δ) or Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section). Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the element, causing the element to bend, Greatest Safe Load is the maximum safe point load allowable at the center of the beam, Distance of Deflection from end A is the distance x of deflection from end A & Deflection at Column Section is the lateral displacement at the section of the column.
How to calculate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center?
The Compressive Axial Load for Strut with Axial and Transverse Point Load at Center formula is defined as the maximum load that a strut can withstand when subjected to both compressive axial thrust and a transverse point load at its center, providing a critical value for structural integrity and stability analysis is calculated using Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section). To calculate Compressive Axial Load for Strut with Axial and Transverse Point Load at Center, you need Bending Moment in Column (Mb), Greatest Safe Load (Wp), Distance of Deflection from end A (x) & Deflection at Column Section (δ). With our tool, you need to enter the respective value for Bending Moment in Column, Greatest Safe Load, Distance of Deflection from end A & Deflection at Column Section 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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