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

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

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

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

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

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

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

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

280.6239 = \sqrt{\frac{3 \cdot 0.15 \cdot 21}{100.0003 \cdot 1200}}

280.6239mm = \sqrt{\frac{3 \cdot 0.15kN \cdot 21mm}{100.0003mm \cdot 1200Pa}}

280.6239 = \sqrt{\frac{3 \cdot 0.15 \cdot 21}{100.0003 \cdot 1200}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d e = \sqrt{\frac{3 \cdot 0.15kN \cdot 21mm}{100.0003mm \cdot 1200Pa}}

Next Step Convert Units

∴

d e = \sqrt{\frac{3 \cdot 150N \cdot 0.021m}{0.1m \cdot 1200Pa}}

Next Step Prepare to Evaluate

∴

d e = \sqrt{\frac{3 \cdot 150 \cdot 0.021}{0.1 \cdot 1200}}

Next Step Evaluate

∴

d e = 0.280623883072537m

Next Step Convert to Output's Unit

∴

d e = 280.623883072537mm

LAST Step Rounding Answer

∴

d e = 280.6239mm

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

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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

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

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

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

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

The formula of Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre is expressed as Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam)). Here is an example- 280624.3 = sqrt((3*150*0.021)/(0.1000003*1200)).

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

With Point Load (P), Distance from A end (a), Width of Beam Section (B) & Stress of Beam (σ) we can find Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre using the formula - Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam)). This formula also uses Square Root (sqrt) function(s).

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

No, the Beam Depth 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 Depth of Uniform Strength for Simply Supported Beam when Load is at Centre?

Beam Depth 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 Depth of Uniform Strength for Simply Supported Beam when Load is at Centre can be measured.

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

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

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

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

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

Variable Name