Deflection for Solid Rectangle When Load in Middle Calculator

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✖Greatest safe load is the maximum safe point load allowable at the center of the beam.ⓘ Greatest Safe Load [W]			+10% -10%
✖Length of the beam is the center to center distance between the supports or the effective length of the beam.ⓘ Length of the Beam [L]			+10% -10%
✖Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to the axis of the beam at a point.ⓘ Sectional Area [A]			+10% -10%
✖Depth of the Beam is the overall depth of the cross section of the beam perpendicular to the axis of the beam.ⓘ Depth of the 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 Solid Rectangle When Load in Middle [ɗ]

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Deflection for Solid Rectangle When Load in Middle

Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Deflection for Hollow Rectangle When Load in Middle

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

Deflection for Hollow Rectangle When Load is Distributed

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

Greatest Safe Load for Hollow Rectangle When Load is Distributed

Greatest Safe Load=1780*(Sectional Area*Depth of the Beam-Interior Cross-Sectional Area of Beam*Interior Depth of the Beam)/Distance between Supports GO

Greatest Safe Load for Hollow Rectangle When Load in Middle

Greatest Safe Load=(890*(Sectional Area*Depth of the Beam-Interior Cross-Sectional Area of Beam*Interior Depth of the Beam))/Length of the Beam GO

Static deflection for cantilever beam with a point load at free end

Static deflection=(Load attached to the free end of constraint*(Length of the Beam^3))/(3*Young's Modulus*Moment of inertia of the beam) GO

Static deflection for cantilever beam with a uniformly distributed load

Static deflection=(Load per unit length*(Length of the Beam^4))/(8*Young's Modulus*Moment of inertia of the beam) GO

Deflection for Solid Rectangle When Load is Distributed

Deflection of Beam=(Greatest safe distributed load*Length of the Beam^3)/(52*Sectional Area*Depth of the Beam^2) GO

Greatest Safe Load for Solid Rectangle When Load is Distributed

Greatest safe distributed load=1780*Sectional Area*Depth of the Beam/Length of the Beam GO

Greatest Safe Load for Solid Cylinder When Load is Distributed

Greatest Safe Load=1333*(Sectional Area*Depth of the Beam)/Length of the Beam GO

Greatest Safe Load for Solid Cylinder When Load in Middle

Greatest Safe Load=(667*Sectional Area*Depth of the Beam)/Length of the Beam GO

Greatest Safe Load for Solid Rectangle When Load in Middle

Greatest Safe Load=890*Sectional Area*Depth of the Beam/Length of the Beam GO

< 3 Other formulas that calculate the same Output

Deflection for Hollow Rectangle When Load in Middle

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

Deflection for Hollow Rectangle When Load is Distributed

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

Deflection for Solid Rectangle When Load is Distributed

Deflection of Beam=(Greatest safe distributed load*Length of the Beam^3)/(52*Sectional Area*Depth of the Beam^2) GO

Deflection for Solid Rectangle When Load in Middle Formula

Deflection of Beam=(Greatest Safe Load*Length of the Beam^3)/(32*Sectional Area*Depth of the Beam^2)
ɗ=(W*L^3)/(32*A*D^2)

More formulas

Greatest Safe Load for Solid Rectangle When Load in Middle GO

Greatest Safe Load for Solid Rectangle When Load is Distributed GO

Deflection for Solid Rectangle When Load is Distributed GO

Greatest Safe Load for Hollow Rectangle When Load in Middle GO

Greatest Safe Load for Hollow Rectangle When Load is Distributed GO

Deflection for Hollow Rectangle When Load in Middle GO

Deflection for Hollow Rectangle When Load is Distributed GO

Greatest Safe Load for Solid Cylinder When Load in Middle GO

Greatest Safe Load for Solid Cylinder When Load is Distributed GO

What is Deflection?

Deflection is the degree to which a structural element is displaced under a load. It may refer to an angle or a distance. The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of the member under that load. Standard formulas exist for the deflection of common beam configurations and load cases at discrete locations. Otherwise methods such as virtual work, direct integration, Castigliano's method, Macaulay's method or the direct stiffness method are used.

How to Calculate Deflection for Solid Rectangle When Load in Middle?

Deflection for Solid Rectangle When Load in Middle calculator uses Deflection of Beam=(Greatest Safe Load*Length of the Beam^3)/(32*Sectional Area*Depth of the Beam^2) to calculate the Deflection of Beam, Deflection for Solid Rectangle When Load in Middle is defined as the degree to which a structural element is displaced under a load. Deflection of Beam and is denoted by ɗ symbol.

How to calculate Deflection for Solid Rectangle When Load in Middle using this online calculator? To use this online calculator for Deflection for Solid Rectangle When Load in Middle, enter Greatest Safe Load (W), Length of the Beam (L), Sectional Area (A) and Depth of the Beam (D) and hit the calculate button. Here is how the Deflection for Solid Rectangle When Load in Middle calculation can be explained with given input values -> 3.723E+6 = (44.4822161525477*3.04800000001219^3)/(32*0.00645160000005161*0.254000000001016^2).

FAQ

What is Deflection for Solid Rectangle When Load in Middle?

Deflection for Solid Rectangle When Load in Middle is defined as the degree to which a structural element is displaced under a load and is represented as ɗ=(W*L^3)/(32*A*D^2) or Deflection of Beam=(Greatest Safe Load*Length of the Beam^3)/(32*Sectional Area*Depth of the Beam^2). Greatest safe load is the maximum safe point load allowable at the center of the beam, Length of the beam is the center to center distance between the supports or the effective length of the beam, Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to the axis of the beam at a point and Depth of the Beam is the overall depth of the cross section of the beam perpendicular to the axis of the beam.

How to calculate Deflection for Solid Rectangle When Load in Middle?

Deflection for Solid Rectangle When Load in Middle is defined as the degree to which a structural element is displaced under a load is calculated using Deflection of Beam=(Greatest Safe Load*Length of the Beam^3)/(32*Sectional Area*Depth of the Beam^2). To calculate Deflection for Solid Rectangle When Load in Middle, you need Greatest Safe Load (W), Length of the Beam (L), Sectional Area (A) and Depth of the Beam (D). With our tool, you need to enter the respective value for Greatest Safe Load, Length of the Beam, Sectional Area and Depth of the 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 Load, Length of the Beam, Sectional Area and Depth of the Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Deflection of Beam=(Greatest safe distributed load*Length of the Beam^3)/(52*Sectional Area*Depth of the Beam^2)
Deflection of Beam=(Greatest Safe Load*Length of the Beam^3)/(32*(Sectional Area*(Depth of the Beam^2)-Interior Cross-Sectional Area of Beam*(Interior Depth of the Beam^2)))
Deflection of Beam=Greatest Safe Load*(Length of the Beam^3)/(52*(Sectional Area*Depth of the Beam^-Interior Cross-Sectional Area of Beam*Interior Depth of the Beam^2))

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