Loading of Beam of Uniform Strength Calculator

✖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%
✖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%
✖Distance from A end is the distance of the concentrated load from end A.ⓘ Distance from A end [a]			+10% -10%

✖Point Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Loading of Beam of Uniform Strength [P]

⎘ Copy

👎

Formula

✖

Loading of Beam of Uniform Strength

Formula

`"P" = ("σ"*"B"*"d"_{"e"}^2)/(3*"a")`

Example

`"0.154715kN"=("1200Pa"*"100.0003mm"*("285mm")^2)/(3*"21mm")`

Calculator

LaTeX

Reset

👍

Download Structural Analysis of Beams Formulas PDF

Loading of Beam of Uniform Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Point Load - (Measured in Newton) - Point Load is the instantaneous load applied perpendicular to the specimen cross section.
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.
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.
Distance from A end - (Measured in Meter) - Distance from A end is the distance of the concentrated load from end A.

STEP 1: Convert Input(s) to Base Unit

Stress of Beam: 1200 Pascal --> 1200 Pascal No Conversion Required
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)
Distance from A end: 21 Millimeter --> 0.021 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (σ*B*d_e^2)/(3*a) --> (1200*0.1000003*0.285^2)/(3*0.021)

Evaluating ... ...

P = 154.714749857143

STEP 3: Convert Result to Output's Unit

154.714749857143 Newton -->0.154714749857143 Kilonewton (Check conversion here)

FINAL ANSWER

0.154714749857143 ≈ 0.154715 Kilonewton <-- Point Load

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Structural Analysis » Miscellaneous Topics » Structural Analysis of Beams » Loading of Beam of Uniform Strength

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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)

Loading of Beam of Uniform Strength Formula

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

What is Beam of Uniform Strength?

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 Loading of Beam of Uniform Strength?

Loading of Beam of Uniform Strength calculator uses Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end) to calculate the Point Load, The Loading of Beam of Uniform Strength formula is defined as the load that is applied on the beam to produce the desired bending profile. Point Load is denoted by P symbol.

How to calculate Loading of Beam of Uniform Strength using this online calculator? To use this online calculator for Loading of Beam of Uniform Strength, enter Stress of Beam (σ), Width of Beam Section (B), Effective Depth of Beam (d_e) & Distance from A end (a) and hit the calculate button. Here is how the Loading of Beam of Uniform Strength calculation can be explained with given input values -> 0.000155 = (1200*0.1000003*0.285^2)/(3*0.021).

FAQ

What is Loading of Beam of Uniform Strength?

The Loading of Beam of Uniform Strength formula is defined as the load that is applied on the beam to produce the desired bending profile and is represented as P = (σ*B*d_e^2)/(3*a) or Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end). 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, 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 & Distance from A end is the distance of the concentrated load from end A.

How to calculate Loading of Beam of Uniform Strength?

The Loading of Beam of Uniform Strength formula is defined as the load that is applied on the beam to produce the desired bending profile is calculated using Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end). To calculate Loading of Beam of Uniform Strength, you need Stress of Beam (σ), Width of Beam Section (B), Effective Depth of Beam (d_e) & Distance from A end (a). With our tool, you need to enter the respective value for Stress of Beam, Width of Beam Section, Effective Depth of Beam & Distance from A end and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search