Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre Calculator

✖Point Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Point Load [P]			+10% -10%
✖Distance from A end is the distance of the concentrated load from end A.ⓘ Distance from A end [a]			+10% -10%
✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Beam Section [B]			+10% -10%
✖Stress of Beam is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.ⓘ Stress of Beam [σ]			+10% -10%

✖The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.ⓘ Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre [d_e]

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Formula

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Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre

Formula

`"d"_{"e"} = sqrt((3*"P"*"a")/("B"*"σ"))`

Example

`"280.6239mm"=sqrt((3*"0.15kN"*"21mm")/("100.0003mm"*"1200Pa"))`

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Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam))
d_e = sqrt((3*P*a)/(B*σ))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Effective Depth of Beam - (Measured in Meter) - The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.
Point Load - (Measured in Newton) - Point Load is the instantaneous load applied perpendicular to the specimen cross section.
Distance from A end - (Measured in Meter) - Distance from A end is the distance of the concentrated load from end A.
Width of Beam Section - (Measured in Meter) - Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.
Stress of Beam - (Measured in Pascal) - Stress of Beam is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.

STEP 1: Convert Input(s) to Base Unit

Point Load: 0.15 Kilonewton --> 150 Newton (Check conversion here)
Distance from A end: 21 Millimeter --> 0.021 Meter (Check conversion here)
Width of Beam Section: 100.0003 Millimeter --> 0.1000003 Meter (Check conversion here)
Stress of Beam: 1200 Pascal --> 1200 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_e = sqrt((3*P*a)/(B*σ)) --> sqrt((3*150*0.021)/(0.1000003*1200))

Evaluating ... ...

d_e = 0.280623883072537

STEP 3: Convert Result to Output's Unit

0.280623883072537 Meter -->280.623883072537 Millimeter (Check conversion here)

FINAL ANSWER

280.623883072537 ≈ 280.6239 Millimeter <-- Effective Depth of Beam

(Calculation completed in 00.020 seconds)

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< 11 Structural Analysis of Beams Calculators

Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre

Go Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam))

Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre

Go Width of Beam Section = (3*Point Load*Distance from A end)/(Stress of Beam*Effective Depth of Beam^2)

Loading of Beam of Uniform Strength

Go Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end)

Stress of Beam of Uniform Strength

Go Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2)

Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero

Go Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth)

Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity

Go Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section

Area to Maintain Stress as Wholly Compressive given Eccentricity

Go Area of Cross-Section = Section Modulus for Eccentric Load on Beam/Eccentricity of Load

Eccentricity to Maintain Stress as Wholly Compressive

Go Eccentricity of Load = Section Modulus for Eccentric Load on Beam/Area of Cross-Section

Eccentricity for Solid Circular Sector to Maintain Stress as Wholly Compressive

Go Eccentricity of Load = Diameter of Circular Shaft/8

Eccentricity for Rectangular Section to maintain Stress as Wholly Compressive

Go Eccentricity of Load = Dam Thickness/6

Breadth for Rectangular Section to Maintain Stress as Wholly Compressive

Go Dam Thickness = 6*Eccentricity of Load

< 4 Beam of Uniform Strength Calculators

Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre

Go Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam))

Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre

Go Width of Beam Section = (3*Point Load*Distance from A end)/(Stress of Beam*Effective Depth of Beam^2)

Loading of Beam of Uniform Strength

Go Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end)

Stress of Beam of Uniform Strength

Go Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2)

Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre Formula

Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam))
d_e = sqrt((3*P*a)/(B*σ))

Define Stress & Strain Energy.

The stress definition in engineering says that stress is the force applied to an object divided by its cross-section area.
The strain energy is the energy stored in any body due to its deformation, also known as Resilience.

What is Eccentric Loading & Beam of Uniform Strength?

A load, whose line of action does not coincide with the axis of a column or a strut, is known as an eccentric load.
These beams have uniform cross section throughout their length. When they are loaded, there is a variation in bending moment from section to section along the length.

How to Calculate Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre?

Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre calculator uses Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam)) to calculate the Effective Depth of Beam, The Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre formula is defined as the depth of cross- section of the uniform bean which produce the given stress. Effective Depth of Beam is denoted by d_e symbol.

How to calculate Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre using this online calculator? To use this online calculator for Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre, enter Point Load (P), Distance from A end (a), Width of Beam Section (B) & Stress of Beam (σ) and hit the calculate button. Here is how the Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre calculation can be explained with given input values -> 280624.3 = sqrt((3*150*0.021)/(0.1000003*1200)).

FAQ

What is Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre?

The Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre formula is defined as the depth of cross- section of the uniform bean which produce the given stress and is represented as d_e = sqrt((3*P*a)/(B*σ)) or Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam)). Point Load is the instantaneous load applied perpendicular to the specimen cross section, Distance from A end is the distance of the concentrated load from end A, Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration & Stress of Beam is the force per unit area applied to the material. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.

How to calculate Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre?

The Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre formula is defined as the depth of cross- section of the uniform bean which produce the given stress is calculated using Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam)). To calculate Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre, you need Point Load (P), Distance from A end (a), Width of Beam Section (B) & Stress of Beam (σ). With our tool, you need to enter the respective value for Point Load, Distance from A end, Width of Beam Section & Stress of Beam 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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