Deflection at Section for Strut with Axial and Transverse Point Load at Center Calculator

✖Column Compressive Load is the load applied to a column that is compressive in nature.ⓘ Column Compressive Load [P_compressive]			+10% -10%
✖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.ⓘ Bending Moment in Column [M_b]			+10% -10%
✖Greatest Safe Load is the maximum safe point load allowable at the center of the beam.ⓘ Greatest Safe Load [W_p]			+10% -10%
✖Distance of Deflection from end A is the distance x of deflection from end A.ⓘ Distance of Deflection from end A [x]			+10% -10%

✖Deflection at Column Section is the lateral displacement at the section of the column.ⓘ Deflection at Section for Strut with Axial and Transverse Point Load at Center [δ]

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Deflection at Section for Strut with Axial and Transverse Point Load at Center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection at Column Section = Column Compressive Load-(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Column Compressive Load)
δ = P_compressive-(M_b+(W_p*x/2))/(P_compressive)
This formula uses 5 Variables

Variables Used

Deflection at Column Section - (Measured in Meter) - Deflection at Column Section is the lateral displacement at the section of the column.
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.

STEP 1: Convert Input(s) to Base Unit

Column Compressive Load: 0.4 Kilonewton --> 400 Newton (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = P_compressive-(M_b+(W_p*x/2))/(P_compressive) --> 400-(48+(100*0.035/2))/(400)

Evaluating ... ...

δ = 399.875625

STEP 3: Convert Result to Output's Unit

399.875625 Meter -->399875.625 Millimeter (Check conversion here)

FINAL ANSWER

399875.625 ≈ 399875.6 Millimeter <-- Deflection at Column Section

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Strut With Lateral Load » Mechanical » Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre » Deflection at Section for Strut with Axial and Transverse Point Load at Center

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National Institute Of Technology (NIT), Hamirpur

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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)

Deflection at Section for Strut with Axial and Transverse Point Load at Center Formula

LaTeX Go

What is Deflection?

Deflection refers to the displacement or deformation of a structural element, such as a beam, column, or cantilever, under an applied load. It is the distance by which a point on the element moves from its original, unloaded position due to the forces or moments acting on it.

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

Deflection at Section for Strut with Axial and Transverse Point Load at Center calculator uses Deflection at Column Section = Column Compressive Load-(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Column Compressive Load) to calculate the Deflection at Column Section, The Deflection at Section for Strut with Axial and Transverse Point Load at Center formula is defined as a measure of the deformation of a strut under the influence of both compressive axial thrust and a transverse point load applied at the center, providing insight into the strut's behavior under combined loading conditions. Deflection at Column Section is denoted by δ symbol.

How to calculate Deflection at Section for Strut with Axial and Transverse Point Load at Center using this online calculator? To use this online calculator for Deflection at Section for Strut with Axial and Transverse Point Load at Center, enter Column Compressive Load (P_compressive), Bending Moment in Column (M_b), Greatest Safe Load (W_p) & Distance of Deflection from end A (x) and hit the calculate button. Here is how the Deflection at Section for Strut with Axial and Transverse Point Load at Center calculation can be explained with given input values -> 4E+8 = 400-(48+(100*0.035/2))/(400).

FAQ

What is Deflection at Section for Strut with Axial and Transverse Point Load at Center?

The Deflection at Section for Strut with Axial and Transverse Point Load at Center formula is defined as a measure of the deformation of a strut under the influence of both compressive axial thrust and a transverse point load applied at the center, providing insight into the strut's behavior under combined loading conditions and is represented as δ = P_compressive-(M_b+(W_p*x/2))/(P_compressive) or Deflection at Column Section = Column Compressive Load-(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Column Compressive Load). Column Compressive Load is the load applied to a column that is compressive in nature, 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.

How to calculate Deflection at Section for Strut with Axial and Transverse Point Load at Center?

The Deflection at Section for Strut with Axial and Transverse Point Load at Center formula is defined as a measure of the deformation of a strut under the influence of both compressive axial thrust and a transverse point load applied at the center, providing insight into the strut's behavior under combined loading conditions is calculated using Deflection at Column Section = Column Compressive Load-(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Column Compressive Load). To calculate Deflection at Section for Strut with Axial and Transverse Point Load at Center, you need Column Compressive Load (P_compressive), Bending Moment in Column (M_b), Greatest Safe Load (W_p) & Distance of Deflection from end A (x). With our tool, you need to enter the respective value for Column Compressive Load, Bending Moment in Column, Greatest Safe Load & Distance of Deflection from end A 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 Deflection at Column Section?

In this formula, Deflection at Column Section uses Column Compressive Load, Bending Moment in Column, Greatest Safe Load & Distance of Deflection from end A. We can use 1 other way(s) to calculate the same, which is/are as follows -

Deflection at Column Section = Greatest Safe Load*((((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load)))))-(Column Length/(4*Column Compressive Load)))

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