Deflection for Hollow Rectangle given Load in Middle Calculator

✖The Greatest Safe Point Load refers to the maximum weight or force that can be applied to a structure without causing failure or damage, ensuring structural integrity and safety.ⓘ Greatest Safe Point Load [Wp]			+10% -10%
✖Length of Beam is the center to center distance between the supports or the effective length of the beam.ⓘ Length of Beam [L]			+10% -10%
✖Cross Sectional Area of Beam 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.ⓘ Cross Sectional Area of Beam [A_cs]			+10% -10%
✖Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.ⓘ Depth of Beam [d_b]			+10% -10%
✖Interior Cross-Sectional Area of Beam is the hollow area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to the axis at a point.ⓘ Interior Cross-Sectional Area of Beam [a]			+10% -10%
✖Interior Depth of Beam is the depth of the hollow cross section of the beam perpendicular to the axis of the beam.ⓘ Interior Depth of Beam [d]			+10% -10%

✖Deflection of Beam is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance.ⓘ Deflection for Hollow Rectangle given Load in Middle [δ]

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Deflection for Hollow Rectangle given Load in Middle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2)))
δ = (Wp*L^3)/(32*((A_cs*d_b^2)-(a*d^2)))
This formula uses 7 Variables

Variables Used

Deflection of Beam - (Measured in Meter) - Deflection of Beam is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance.
Greatest Safe Point Load - (Measured in Newton) - The Greatest Safe Point Load refers to the maximum weight or force that can be applied to a structure without causing failure or damage, ensuring structural integrity and safety.
Length of Beam - (Measured in Meter) - Length of Beam is the center to center distance between the supports or the effective length of the beam.
Cross Sectional Area of Beam - (Measured in Square Meter) - Cross Sectional Area of Beam 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.
Depth of Beam - (Measured in Meter) - Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.
Interior Cross-Sectional Area of Beam - (Measured in Square Meter) - Interior Cross-Sectional Area of Beam is the hollow area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to the axis at a point.
Interior Depth of Beam - (Measured in Meter) - Interior Depth of Beam is the depth of the hollow cross section of the beam perpendicular to the axis of the beam.

STEP 1: Convert Input(s) to Base Unit

Greatest Safe Point Load: 1.25 Kilonewton --> 1250 Newton (Check conversion here)
Length of Beam: 10.02 Foot --> 3.05409600001222 Meter (Check conversion here)
Cross Sectional Area of Beam: 13 Square Meter --> 13 Square Meter No Conversion Required
Depth of Beam: 10.01 Inch --> 0.254254000001017 Meter (Check conversion here)
Interior Cross-Sectional Area of Beam: 10 Square Inch --> 0.00645160000005161 Square Meter (Check conversion here)
Interior Depth of Beam: 10 Inch --> 0.254000000001016 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (Wp*L^3)/(32*((A_cs*d_b^2)-(a*d^2))) --> (1250*3.05409600001222^3)/(32*((13*0.254254000001017^2)-(0.00645160000005161*0.254000000001016^2)))

Evaluating ... ...

δ = 1324.78163797662

STEP 3: Convert Result to Output's Unit

1324.78163797662 Meter -->52156.7574004455 Inch (Check conversion here)

FINAL ANSWER

52156.7574004455 ≈ 52156.76 Inch <-- Deflection of Beam

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Structural Analysis » Moving Loads and Influence Lines for Beams » Calculation of Deflection » Deflection for Hollow Rectangle given Load in Middle

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< Calculation of Deflection Calculators

Deflection for Hollow Rectangle when Load is Distributed

LaTeX Go Deflection of Beam = Greatest Safe Distributed Load*(Length of Beam^3)/(52*(Cross Sectional Area of Beam*Depth of Beam^-Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2))

Deflection for Hollow Rectangle given Load in Middle

LaTeX Go Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2)))

Deflection for Solid Rectangle when Load is Distributed

LaTeX Go Deflection of Beam = (Greatest Safe Distributed Load*Length of Beam^3)/(52*Cross Sectional Area of Beam*Depth of Beam^2)

Deflection for Solid Rectangle when Load in Middle

LaTeX Go Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*Cross Sectional Area of Beam*Depth of Beam^2)

Deflection for Hollow Rectangle given Load in Middle Formula

LaTeX Go

Why is Beam Deflection Important?

Deflection is caused by many sources, such as, loads, temperature, construction error, and settlements. It is important to include the calculation of deflections into the design procedure to prevent structural damage to secondary structures (concrete or plaster walls or roofs) or to solve indeterminate problems.

How to Calculate Deflection for Hollow Rectangle given Load in Middle?

Deflection for Hollow Rectangle given Load in Middle calculator uses Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2))) to calculate the Deflection of Beam, The Deflection for Hollow Rectangle given Load in Middle formula is defined as the vertical displacement of a point on a hallow rectangular beam loaded in middle. Deflection of Beam is denoted by δ symbol.

How to calculate Deflection for Hollow Rectangle given Load in Middle using this online calculator? To use this online calculator for Deflection for Hollow Rectangle given Load in Middle, enter Greatest Safe Point Load (Wp), Length of Beam (L), Cross Sectional Area of Beam (A_cs), Depth of Beam (d_b), Interior Cross-Sectional Area of Beam (a) & Interior Depth of Beam (d) and hit the calculate button. Here is how the Deflection for Hollow Rectangle given Load in Middle calculation can be explained with given input values -> 2.1E+6 = (1250*3.05409600001222^3)/(32*((13*0.254254000001017^2)-(0.00645160000005161*0.254000000001016^2))).

FAQ

What is Deflection for Hollow Rectangle given Load in Middle?

The Deflection for Hollow Rectangle given Load in Middle formula is defined as the vertical displacement of a point on a hallow rectangular beam loaded in middle and is represented as δ = (Wp*L^3)/(32*((A_cs*d_b^2)-(a*d^2))) or Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2))). The Greatest Safe Point Load refers to the maximum weight or force that can be applied to a structure without causing failure or damage, ensuring structural integrity and safety, Length of Beam is the center to center distance between the supports or the effective length of the beam, Cross Sectional Area of Beam 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, Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam, Interior Cross-Sectional Area of Beam is the hollow area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to the axis at a point & Interior Depth of Beam is the depth of the hollow cross section of the beam perpendicular to the axis of the beam.

How to calculate Deflection for Hollow Rectangle given Load in Middle?

The Deflection for Hollow Rectangle given Load in Middle formula is defined as the vertical displacement of a point on a hallow rectangular beam loaded in middle is calculated using Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*((Cross Sectional Area of Beam*Depth of Beam^2)-(Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2))). To calculate Deflection for Hollow Rectangle given Load in Middle, you need Greatest Safe Point Load (Wp), Length of Beam (L), Cross Sectional Area of Beam (A_cs), Depth of Beam (d_b), Interior Cross-Sectional Area of Beam (a) & Interior Depth of Beam (d). With our tool, you need to enter the respective value for Greatest Safe Point Load, Length of Beam, Cross Sectional Area of Beam, Depth of Beam, Interior Cross-Sectional Area of Beam & Interior Depth of Beam 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 of Beam?

In this formula, Deflection of Beam uses Greatest Safe Point Load, Length of Beam, Cross Sectional Area of Beam, Depth of Beam, Interior Cross-Sectional Area of Beam & Interior Depth of Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Deflection of Beam = (Greatest Safe Point Load*Length of Beam^3)/(32*Cross Sectional Area of Beam*Depth of Beam^2)
Deflection of Beam = (Greatest Safe Distributed Load*Length of Beam^3)/(52*Cross Sectional Area of Beam*Depth of Beam^2)
Deflection of Beam = Greatest Safe Distributed Load*(Length of Beam^3)/(52*(Cross Sectional Area of Beam*Depth of Beam^-Interior Cross-Sectional Area of Beam*Interior Depth of Beam^2))

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