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

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

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

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

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

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Here is how the Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre equation looks like with Values.

Here is how the Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre equation looks like with Units.

Here is how the Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre equation looks like.

96.9529 = \frac{3 \cdot 0.15 \cdot 21}{1200 \cdot 285^{2}}

96.9529mm = \frac{3 \cdot 0.15kN \cdot 21mm}{1200Pa \cdot {285mm}^{2}}

96.9529 = \frac{3 \cdot 0.15 \cdot 21}{1200 \cdot 285^{2}}

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

Follow our step by step solution on how to calculate Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \frac{3 \cdot 0.15kN \cdot 21mm}{1200Pa \cdot {285mm}^{2}}

Next Step Convert Units

∴

B = \frac{3 \cdot 150N \cdot 0.021m}{1200Pa \cdot {0.285m}^{2}}

Next Step Prepare to Evaluate

∴

B = \frac{3 \cdot 150 \cdot 0.021}{1200 \cdot {0.285}^{2}}

Next Step Evaluate

∴

B = 0.0969529085872576m

Next Step Convert to Output's Unit

∴

B = 96.9529085872577mm

LAST Step Rounding Answer

∴

B = 96.9529mm

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

Variables

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

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

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

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 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}

Go Stress of Beam of Uniform Strength

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

How to Evaluate Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre?

Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre evaluator uses Width of Beam Section = (3*Point Load*Distance from A end)/(Stress of Beam*Effective Depth of Beam^2) to evaluate the Width of Beam Section, The Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre formula is defined as the breadth of cross-section of the uniform bean which produces the given stress. Width of Beam Section is denoted by B symbol.

How to evaluate Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre using this online evaluator? To use this online evaluator for Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre, enter Point Load (P), Distance from A end (a), Stress of Beam (σ) & Effective Depth of Beam (d_e) and hit the calculate button.

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

What is the formula to find Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre?

The formula of Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre is expressed as Width of Beam Section = (3*Point Load*Distance from A end)/(Stress of Beam*Effective Depth of Beam^2). Here is an example- 96952.91 = (3*150*0.021)/(1200*0.285^2).

How to calculate Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre?

With Point Load (P), Distance from A end (a), Stress of Beam (σ) & Effective Depth of Beam (d_e) we can find Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre using the formula - Width of Beam Section = (3*Point Load*Distance from A end)/(Stress of Beam*Effective Depth of Beam^2).

Can the Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre be negative?

No, the Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre, measured in Length cannot be negative.

Which unit is used to measure Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre?

Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre can be measured.

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

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

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

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

Other formulas in Structural Analysis of Beams category

How to Evaluate Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre?

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

Variable Name