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Stress of Beam of Uniform Strength Formula

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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. Check FAQs

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

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

Stress of Beam of Uniform Strength Example

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

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

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

1163.4314 = \frac{3 \cdot 0.15 \cdot 21}{100.0003 \cdot 285^{2}}

1163.4314Pa = \frac{3 \cdot 0.15kN \cdot 21mm}{100.0003mm \cdot {285mm}^{2}}

1163.4314 = \frac{3 \cdot 0.15 \cdot 21}{100.0003 \cdot 285^{2}}

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Stress of Beam of Uniform Strength Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ = \frac{3 \cdot 0.15kN \cdot 21mm}{100.0003mm \cdot {285mm}^{2}}

Next Step Convert Units

∴

σ = \frac{3 \cdot 150N \cdot 0.021m}{0.1m \cdot {0.285m}^{2}}

Next Step Prepare to Evaluate

∴

σ = \frac{3 \cdot 150 \cdot 0.021}{0.1 \cdot {0.285}^{2}}

Next Step Evaluate

∴

σ = 1163.43141275285Pa

LAST Step Rounding Answer

∴

σ = 1163.4314Pa

Stress of Beam of Uniform Strength Formula Elements

Variables

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

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

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

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

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 Loading of Beam of Uniform Strength

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

How to Evaluate Stress of Beam of Uniform Strength?

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

FAQs on Stress of Beam of Uniform Strength

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

The formula of Stress of Beam of Uniform Strength is expressed as Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2). Here is an example- 1163.435 = (3*150*0.021)/(0.1000003*0.285^2).

How to calculate Stress of Beam of Uniform Strength?

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

Can the Stress of Beam of Uniform Strength be negative?

No, the Stress of Beam of Uniform Strength, measured in Pressure cannot be negative.

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

Stress of Beam of Uniform Strength is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Stress of Beam of Uniform Strength can be measured.

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Stress of Beam of Uniform Strength Formula

Stress of Beam of Uniform Strength Example

Stress of Beam of Uniform Strength Solution

Stress of Beam of Uniform Strength Formula Elements

Other formulas in Structural Analysis of Beams category

How to Evaluate Stress of Beam of Uniform Strength?

FAQs on Stress of Beam of Uniform Strength

Variable Name