FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Width of Beam at Considered Level Formula

Fx Copy

LaTeX Copy

Beam width at considered level is the width of a beam at a specific height or section along its length analyzed for the load distribution, shear forces, and bending moments within the beam. Check FAQs

w = \frac{V \cdot A above \cdot ȳ}{I \cdot 𝜏}

w - Beam Width at Considered Level?V - Shear Force at Section?A_above - Area of Section above Considered Level?ȳ - Distance to CG of Area from NA?I - Moment of Inertia of Area of Section?𝜏 - Shear Stress at Section?

Width of Beam at Considered Level Example

With values

With units

Only example

Here is how the Width of Beam at Considered Level equation looks like with Values.

Here is how the Width of Beam at Considered Level equation looks like with Units.

Here is how the Width of Beam at Considered Level equation looks like.

95 = \frac{4.9 \cdot 1986.063 \cdot 82}{0.0017 \cdot 0.005}

95mm = \frac{4.9kN \cdot 1986.063mm² \cdot 82mm}{0.0017m⁴ \cdot 0.005MPa}

95 = \frac{4.9 \cdot 1986.063 \cdot 82}{0.0017 \cdot 0.005}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Width of Beam at Considered Level

Width of Beam at Considered Level Solution

Follow our step by step solution on how to calculate Width of Beam at Considered Level?

FIRST Step Consider the formula

w = \frac{V \cdot A above \cdot ȳ}{I \cdot 𝜏}

Next Step Substitute values of Variables

∴

w = \frac{4.9kN \cdot 1986.063mm² \cdot 82mm}{0.0017m⁴ \cdot 0.005MPa}

Next Step Convert Units

∴

w = \frac{4900N \cdot 0.002m² \cdot 0.082m}{0.0017m⁴ \cdot 5000Pa}

Next Step Prepare to Evaluate

∴

w = \frac{4900 \cdot 0.002 \cdot 0.082}{0.0017 \cdot 5000}

Next Step Evaluate

∴

w = 0.0950000135m

Next Step Convert to Output's Unit

∴

w = 95.0000135mm

LAST Step Rounding Answer

∴

w = 95mm

Width of Beam at Considered Level Formula Elements

Variables

Beam Width at Considered Level

Beam width at considered level is the width of a beam at a specific height or section along its length analyzed for the load distribution, shear forces, and bending moments within the beam.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Beam Width at Considered Level

Shear Force at Section

Shear force at section is the algebraic sum of all the vertical forces acting on one side of the section representing the internal force that acts parallel to the cross-section of the beam.

Symbol: V

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force at Section

Area of Section above Considered Level

Area of section above considered level is the area of a section of a beam or other structural member that is above a certain reference level, used in calculations of shear stress and bending moments.

Symbol: A_above

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Section above Considered Level

Distance to CG of Area from NA

Distance to CG of Area from NA is a distance helps in determining the distribution of stresses within a beam or any structural element.

Symbol: ȳ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance to CG of Area from NA

Moment of Inertia of Area of Section

Moment of inertia of area of section is a geometric property that measures how a cross-section’s area is distributed relative to an axis for predicting a beam’s resistance to bending and deflection.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Area of Section

Shear Stress at Section

Shear stress at section is the internal force per unit area acting parallel to the cross-section of a material arises from shear forces, that act along the plane of the section.

Symbol: 𝜏

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress at Section

Other formulas in Shear Stress at a Section category

Go Shear Force at Section given Shear Area

V = 𝜏 \cdot A v

Go Moment of Inertia of Section about Neutral Axis

I = \frac{V \cdot A above \cdot ȳ}{𝜏 \cdot w}

Go Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis

ȳ = \frac{𝜏 \cdot I \cdot w}{V \cdot A above}

Go Area of Section above Considered Level

A above = \frac{𝜏 \cdot I \cdot w}{V \cdot ȳ}

How to Evaluate Width of Beam at Considered Level?

Width of Beam at Considered Level evaluator uses Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance to CG of Area from NA)/(Moment of Inertia of Area of Section*Shear Stress at Section) to evaluate the Beam Width at Considered Level, Width of Beam at Considered Level formula is defined as the width of a beam at a specific level, which is a critical parameter in determining the structural integrity and load-carrying capacity of a beam, particularly in the context of shear stress analysis at a section. Beam Width at Considered Level is denoted by w symbol.

How to evaluate Width of Beam at Considered Level using this online evaluator? To use this online evaluator for Width of Beam at Considered Level, enter Shear Force at Section (V), Area of Section above Considered Level (A_above), Distance to CG of Area from NA (ȳ), Moment of Inertia of Area of Section (I) & Shear Stress at Section (𝜏) and hit the calculate button.

FAQs on Width of Beam at Considered Level

What is the formula to find Width of Beam at Considered Level?

The formula of Width of Beam at Considered Level is expressed as Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance to CG of Area from NA)/(Moment of Inertia of Area of Section*Shear Stress at Section). Here is an example- 306133.3 = (4900*0.001986063*0.082)/(0.00168*5000).

How to calculate Width of Beam at Considered Level?

With Shear Force at Section (V), Area of Section above Considered Level (A_above), Distance to CG of Area from NA (ȳ), Moment of Inertia of Area of Section (I) & Shear Stress at Section (𝜏) we can find Width of Beam at Considered Level using the formula - Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance to CG of Area from NA)/(Moment of Inertia of Area of Section*Shear Stress at Section).

Can the Width of Beam at Considered Level be negative?

No, the Width of Beam at Considered Level, measured in Length cannot be negative.

Which unit is used to measure Width of Beam at Considered Level?

Width of Beam at Considered Level is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Beam at Considered Level can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Width of Beam at Considered Level Formula

Width of Beam at Considered Level Example

Width of Beam at Considered Level Solution

Width of Beam at Considered Level Formula Elements

Other formulas in Shear Stress at a Section category

How to Evaluate Width of Beam at Considered Level?

FAQs on Width of Beam at Considered Level

Variable Name