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Width of Beam at Considered Level given Shear Stress for Circular Section Formula

GoWidth of Beam at Considered Level given Radius of Circular Section 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{F s \cdot \frac{2}{3} \cdot {(r^{2} - y^{2})}^{\frac{3}{2}}}{I \cdot 𝜏 beam}

B - Width of Beam Section?F_s - Shear Force on Beam?r - Radius of Circular Section?y - Distance from Neutral Axis?I - Moment of Inertia of Area of Section?𝜏_beam - Shear Stress in Beam?

Width of Beam at Considered Level given Shear Stress for Circular Section Example

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Here is how the Width of Beam at Considered Level given Shear Stress for Circular Section equation looks like with Values.

Here is how the Width of Beam at Considered Level given Shear Stress for Circular Section equation looks like with Units.

Here is how the Width of Beam at Considered Level given Shear Stress for Circular Section equation looks like.

548.5571 = \frac{4.8 \cdot \frac{2}{3} \cdot {(1200^{2} - 5^{2})}^{\frac{3}{2}}}{0.0017 \cdot 6}

548.5571mm = \frac{4.8kN \cdot \frac{2}{3} \cdot {({1200mm}^{2} - {5mm}^{2})}^{\frac{3}{2}}}{0.0017m⁴ \cdot 6MPa}

548.5571 = \frac{4.8 \cdot \frac{2}{3} \cdot {(1200^{2} - 5^{2})}^{\frac{3}{2}}}{0.0017 \cdot 6}

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Strength of Materials » fx Width of Beam at Considered Level given Shear Stress for Circular Section

Width of Beam at Considered Level given Shear Stress for Circular Section Solution

Follow our step by step solution on how to calculate Width of Beam at Considered Level given Shear Stress for Circular Section?

FIRST Step Consider the formula

B = \frac{F s \cdot \frac{2}{3} \cdot {(r^{2} - y^{2})}^{\frac{3}{2}}}{I \cdot 𝜏 beam}

Next Step Substitute values of Variables

∴

B = \frac{4.8kN \cdot \frac{2}{3} \cdot {({1200mm}^{2} - {5mm}^{2})}^{\frac{3}{2}}}{0.0017m⁴ \cdot 6MPa}

Next Step Convert Units

∴

B = \frac{4800N \cdot \frac{2}{3} \cdot {({1.2m}^{2} - {0.005m}^{2})}^{\frac{3}{2}}}{0.0017m⁴ \cdot 6E+6Pa}

Next Step Prepare to Evaluate

∴

B = \frac{4800 \cdot \frac{2}{3} \cdot {({1.2}^{2} - {0.005}^{2})}^{\frac{3}{2}}}{0.0017 \cdot 6E+6}

Next Step Evaluate

∴

B = 0.548557142919147m

Next Step Convert to Output's Unit

∴

B = 548.557142919147mm

LAST Step Rounding Answer

∴

B = 548.5571mm

Width of Beam at Considered Level given Shear Stress for Circular Section 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

Shear Force on Beam

Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force on Beam

Radius of Circular Section

Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Circular Section

Distance from Neutral Axis

Distance from Neutral Axis is the perpendicular distance from a point in an element to the neutral axis, it is the line where element experiences no stress when the beam is subjected to bending.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from Neutral Axis

Moment of Inertia of Area of Section

Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.

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 in Beam

Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏_beam

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in Beam

Other Formulas to find Width of Beam Section

Go Width of Beam at Considered Level given Radius of Circular Section

B = 2 \cdot \sqrt{r^{2} - y^{2}}

Other formulas in Radius of Circular Section category

Go Radius of Circular Section given Width of Beam at Considered Level

r = \sqrt{{(\frac{B}{2})}^{2} + y^{2}}

Go Radius of Circular Section given Average Shear Stress

r = \sqrt{\frac{F s}{π \cdot 𝜏 avg}}

Go Radius of Circular Section given Maximum Shear Stress

r = \sqrt{\frac{4}{3} \cdot \frac{F s}{π \cdot 𝜏 max}}

How to Evaluate Width of Beam at Considered Level given Shear Stress for Circular Section?

Width of Beam at Considered Level given Shear Stress for Circular Section evaluator uses Width of Beam Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Shear Stress in Beam) to evaluate the Width of Beam Section, The Width of Beam at Considered Level given Shear Stress for Circular Section formula is defined as a measure of the width of a beam at a specific level, considering the shear stress in a circular section, which is essential in structural analysis and design to ensure the beam's stability and safety. Width of Beam Section is denoted by B symbol.

How to evaluate Width of Beam at Considered Level given Shear Stress for Circular Section using this online evaluator? To use this online evaluator for Width of Beam at Considered Level given Shear Stress for Circular Section, enter Shear Force on Beam (F_s), Radius of Circular Section (r), Distance from Neutral Axis (y), Moment of Inertia of Area of Section (I) & Shear Stress in Beam (𝜏_beam) and hit the calculate button.

FAQs on Width of Beam at Considered Level given Shear Stress for Circular Section

What is the formula to find Width of Beam at Considered Level given Shear Stress for Circular Section?

The formula of Width of Beam at Considered Level given Shear Stress for Circular Section is expressed as Width of Beam Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Shear Stress in Beam). Here is an example- 548557.1 = (4800*2/3*(1.2^2-0.005^2)^(3/2))/(0.00168*6000000).

How to calculate Width of Beam at Considered Level given Shear Stress for Circular Section?

With Shear Force on Beam (F_s), Radius of Circular Section (r), Distance from Neutral Axis (y), Moment of Inertia of Area of Section (I) & Shear Stress in Beam (𝜏_beam) we can find Width of Beam at Considered Level given Shear Stress for Circular Section using the formula - Width of Beam Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Moment of Inertia of Area of Section*Shear Stress in Beam).

What are the other ways to Calculate Width of Beam Section?

Here are the different ways to Calculate Width of Beam Section-

Width of Beam Section=2*sqrt(Radius of Circular Section^2-Distance from Neutral Axis^2)

Can the Width of Beam at Considered Level given Shear Stress for Circular Section be negative?

Yes, the Width of Beam at Considered Level given Shear Stress for Circular Section, measured in Length can be negative.

Which unit is used to measure Width of Beam at Considered Level given Shear Stress for Circular Section?

Width of Beam at Considered Level given Shear Stress for Circular Section 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 given Shear Stress for Circular Section can be measured.

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Width of Beam at Considered Level given Shear Stress for Circular Section Formula

​GoWidth of Beam at Considered Level given Radius of Circular Section Formula

Width of Beam at Considered Level given Shear Stress for Circular Section Example

Width of Beam at Considered Level given Shear Stress for Circular Section Solution

Width of Beam at Considered Level given Shear Stress for Circular Section Formula Elements

Other Formulas to find Width of Beam Section

Other formulas in Radius of Circular Section category

How to Evaluate Width of Beam at Considered Level given Shear Stress for Circular Section?

FAQs on Width of Beam at Considered Level given Shear Stress for Circular Section

Variable Name

GoWidth of Beam at Considered Level given Radius of Circular Section Formula