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]

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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)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Structural Analysis of Beams Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

< Beam of Uniform Strength Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go

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.

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