Stress of Beam of Uniform Strength 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%
✖The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.ⓘ Effective Depth of Beam [d_e]			+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 of Uniform Strength [σ]

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Formula

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Stress of Beam of Uniform Strength

Formula

`"σ" = (3*"P"*"a")/("B"*"d"_{"e"}^2)`

Example

`"1163.431Pa"=(3*"0.15kN"*"21mm")/("100.0003mm"*("285mm")^2)`

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Download Structural Analysis of Beams Formulas PDF

Stress of Beam of Uniform Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2)
σ = (3*P*a)/(B*d_e^2)
This formula uses 5 Variables

Variables Used

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.
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.
Effective Depth of Beam - (Measured in Meter) - The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

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)
Effective Depth of Beam: 285 Millimeter --> 0.285 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (3*P*a)/(B*d_e^2) --> (3*150*0.021)/(0.1000003*0.285^2)

Evaluating ... ...

σ = 1163.43141275285

STEP 3: Convert Result to Output's Unit

1163.43141275285 Pascal --> No Conversion Required

FINAL ANSWER

1163.43141275285 ≈ 1163.431 Pascal <-- Stress 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)

Stress of Beam of Uniform Strength Formula

Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2)
σ = (3*P*a)/(B*d_e^2)

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 Stress of Beam of Uniform Strength?

Stress of Beam of Uniform Strength calculator uses Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2) to calculate the Stress of Beam, The Stress of Beam of Uniform Strength formula is defined as the stress developed on the beam when the given loading is applied. Stress of Beam is denoted by σ symbol.

How to calculate Stress of Beam of Uniform Strength using this online calculator? To use this online calculator for Stress of Beam of Uniform Strength, enter Point Load (P), Distance from A end (a), Width of Beam Section (B) & Effective Depth of Beam (d_e) and hit the calculate button. Here is how the Stress of Beam of Uniform Strength calculation can be explained with given input values -> 1163.435 = (3*150*0.021)/(0.1000003*0.285^2).

FAQ

What is Stress of Beam of Uniform Strength?

The Stress of Beam of Uniform Strength formula is defined as the stress developed on the beam when the given loading is applied and is represented as σ = (3*P*a)/(B*d_e^2) or Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2). 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 & The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

How to calculate Stress of Beam of Uniform Strength?

The Stress of Beam of Uniform Strength formula is defined as the stress developed on the beam when the given loading is applied is calculated using Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2). To calculate Stress of Beam of Uniform Strength, you need Point Load (P), Distance from A end (a), Width of Beam Section (B) & Effective Depth of Beam (d_e). With our tool, you need to enter the respective value for Point Load, Distance from A end, Width of Beam Section & Effective Depth 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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