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 structural element 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 [Wp]			+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 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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Formula

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Deflection at section for strut with axial and transverse point load at center

Formula

δ = P compressive - \frac{M b + (Wp \cdot \frac{x}{2})}{P compressive}

Example

399875.6 mm = 0.4 kN - \frac{48 N*m + (0.1 kN \cdot \frac{35 mm}{2})}{0.4 kN}

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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 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+(Wp*x/2))/(P_compressive)
This formula uses 5 Variables

Variables Used

Deflection at Section - (Measured in Meter) - Deflection at 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 structural element 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+(Wp*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 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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< 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

Go Deflection at 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

Go Column Compressive load = -(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Deflection at Section)

Transverse point load for strut with axial and transverse point load at center

Go Greatest Safe Load = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Distance of deflection from end A)

Bending moment at section for strut with axial and transverse point load at center

Go Bending Moment in Column = -(Column Compressive load*Deflection at 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

What is transverse point loading?

Transverse loading is a load applied vertically to the plane of the longitudinal axis of a configuration, such as a wind load. It causes the material to bend and rebound from its original position, with inner tensile and compressive straining associated with the change in curvature of the material.

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 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 Section, The Deflection at section for strut with axial and transverse point load at center formula is defined as the vertical displacement of a point on a loaded beam. There are many methods to find out the slope and deflection at a section in a loaded beam. Deflection at 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 (Wp) & 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 the vertical displacement of a point on a loaded beam. There are many methods to find out the slope and deflection at a section in a loaded beam and is represented as δ = P_compressive-(M_b+(Wp*x/2))/(P_compressive) or Deflection at 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 structural element 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 the vertical displacement of a point on a loaded beam. There are many methods to find out the slope and deflection at a section in a loaded beam is calculated using Deflection at 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 (Wp) & 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 Section?

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

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