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Loading of Beam of Uniform Strength Formula

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Point Load is the instantaneous load applied perpendicular to the specimen cross section. Check FAQs

P = \frac{σ \cdot B \cdot {d e}^{2}}{3 \cdot a}

P - Point Load?σ - Stress of Beam?B - Width of Beam Section?d_e - Effective Depth of Beam?a - Distance from A end?

Loading of Beam of Uniform Strength Example

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Here is how the Loading of Beam of Uniform Strength equation looks like with Values.

Here is how the Loading of Beam of Uniform Strength equation looks like with Units.

Here is how the Loading of Beam of Uniform Strength equation looks like.

0.1547 = \frac{1200 \cdot 100.0003 \cdot 285^{2}}{3 \cdot 21}

0.1547kN = \frac{1200Pa \cdot 100.0003mm \cdot {285mm}^{2}}{3 \cdot 21mm}

0.1547 = \frac{1200 \cdot 100.0003 \cdot 285^{2}}{3 \cdot 21}

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Loading of Beam of Uniform Strength Solution

Follow our step by step solution on how to calculate Loading of Beam of Uniform Strength?

FIRST Step Consider the formula

P = \frac{σ \cdot B \cdot {d e}^{2}}{3 \cdot a}

Next Step Substitute values of Variables

∴

P = \frac{1200Pa \cdot 100.0003mm \cdot {285mm}^{2}}{3 \cdot 21mm}

Next Step Convert Units

∴

P = \frac{1200Pa \cdot 0.1m \cdot {0.285m}^{2}}{3 \cdot 0.021m}

Next Step Prepare to Evaluate

∴

P = \frac{1200 \cdot 0.1 \cdot {0.285}^{2}}{3 \cdot 0.021}

Next Step Evaluate

∴

P = 154.714749857143N

Next Step Convert to Output's Unit

∴

P = 0.154714749857143kN

LAST Step Rounding Answer

∴

P = 0.1547kN

Loading of Beam of Uniform Strength Formula Elements

Variables

Point Load

Point Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Point Load

Stress of Beam

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.

Symbol: σ

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Stress of Beam

Width of Beam Section

Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam Section

Effective Depth of Beam

The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

Symbol: d_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Distance from A end

Distance from A end is the distance of the concentrated load from end A.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from A end

Other formulas in Structural Analysis of Beams category

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

B = \frac{3 \cdot P \cdot a}{σ \cdot {d e}^{2}}

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

d e = \sqrt{\frac{3 \cdot P \cdot a}{B \cdot σ}}

Go Stress of Beam of Uniform Strength

σ = \frac{3 \cdot P \cdot a}{B \cdot {d e}^{2}}

How to Evaluate Loading of Beam of Uniform Strength?

Loading of Beam of Uniform Strength evaluator uses Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end) to evaluate 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 evaluate Loading of Beam of Uniform Strength using this online evaluator? To use this online evaluator 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.

FAQs on Loading of Beam of Uniform Strength

What is the formula to find Loading of Beam of Uniform Strength?

The formula of Loading of Beam of Uniform Strength is expressed as Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end). Here is an example- 0.000155 = (1200*0.1000003*0.285^2)/(3*0.021).

How to calculate Loading of Beam of Uniform Strength?

With Stress of Beam (σ), Width of Beam Section (B), Effective Depth of Beam (d_e) & Distance from A end (a) we can find Loading of Beam of Uniform Strength using the formula - Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end).

Can the Loading of Beam of Uniform Strength be negative?

No, the Loading of Beam of Uniform Strength, measured in Force cannot be negative.

Which unit is used to measure Loading of Beam of Uniform Strength?

Loading of Beam of Uniform Strength is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Loading of Beam of Uniform Strength can be measured.

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Loading of Beam of Uniform Strength Formula

Loading of Beam of Uniform Strength Example

Loading of Beam of Uniform Strength Solution

Loading of Beam of Uniform Strength Formula Elements

Other formulas in Structural Analysis of Beams category

How to Evaluate Loading of Beam of Uniform Strength?

FAQs on Loading of Beam of Uniform Strength

Variable Name