Condition for Maximum Bending Stress given Diameter Calculator

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Condition for Maximum Bending Stress given Diameter [d]

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Condition for Maximum Bending Stress given Diameter

Formula

`"d" = 2*"d"_{"nl"}`

Example

`"10mm"=2*"5mm"`

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Condition for Maximum Bending Stress given Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter = 2*Distance from Neutral Layer
d = 2*d_nl
This formula uses 2 Variables

Variables Used

Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Distance from Neutral Layer - (Measured in Meter) - Distance from Neutral Layer is the distance of the considered layer from the neutral layer.

STEP 1: Convert Input(s) to Base Unit

Distance from Neutral Layer: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = 2*d_nl --> 2*0.005

Evaluating ... ...

d = 0.01

STEP 3: Convert Result to Output's Unit

0.01 Meter -->10 Millimeter (Check conversion here)

FINAL ANSWER

10 Millimeter <-- Diameter

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Middle Quarter Rule For Circular Section » Condition for Maximum Bending Stress given Diameter

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 18 Middle Quarter Rule For Circular Section Calculators

Eccentricity of Load given Minimum Bending Stress

Go Eccentricity of Loading = (((4*Eccentric load on column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric load on column))

Minimum Bending Stress given Eccentric Load

Go Minimum Bending Stress = ((4*Eccentric load on column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))

Eccentric Load given Minimum Bending Stress

Go Eccentric load on column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4

Eccentricity of Load given Maximum Bending Stress

Go Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric load on column)

Eccentric Load given maximum Bending Stress

Go Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)

Maximum Bending Stress given Eccentric Load

Go Maximum bending stress = (32*Eccentric load on column*Eccentricity of Loading)/(pi*(Diameter^3))

Maximum Bending Stress for Circular Section given Moment of Load

Go Maximum bending stress = (Moment due to eccentric load*Diameter of Circular section)/(2*MOI of Area of Circular Section)

Moment of Load given Maximum Bending Stress for Circular Section

Go Moment due to eccentric load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter

Diameter of Circular Section given Maximum Bending Stress

Go Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to eccentric load

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section

Go MOI of Area of Circular Section = (Moment due to eccentric load*Diameter)/(2*Maximum bending stress)

Diameter of Circular Section given Direct Stress

Go Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress))

Direct stress for circular section

Go Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2))

Eccentric load for given direct stress for circular section

Go Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4

Minimum Bending Stress given Direct and Bending Stress

Go Minimum Bending Stress = Direct Stress-Bending Stress in Column

Condition for Maximum Bending Stress given Diameter

Go Diameter = 2*Distance from Neutral Layer

Condition for maximum bending stress

Go Distance from Neutral Layer = Diameter/2

Diameter of circular section if maximum value of eccentricity is known(for no tensile stress case)

Go Diameter = 8*Eccentricity of Loading

Maximum value of eccentricity for no tensile stress

Go Eccentricity of Loading = Diameter/8

Condition for Maximum Bending Stress given Diameter Formula

Diameter = 2*Distance from Neutral Layer
d = 2*d_nl

What is bending stress in beam?

The beam itself must develop internal resistance to resist shear forces and bending moments. The stresses caused by the bending moments are called bending stresses. The bending stress varies from zero at the neutral axis to a maximum at the tensile and compressive sides of the beam.

How to Calculate Condition for Maximum Bending Stress given Diameter?

Condition for Maximum Bending Stress given Diameter calculator uses Diameter = 2*Distance from Neutral Layer to calculate the Diameter, Condition for maximum bending stress given diameter is a chord that runs through the center point of the circle. Diameter is denoted by d symbol.

How to calculate Condition for Maximum Bending Stress given Diameter using this online calculator? To use this online calculator for Condition for Maximum Bending Stress given Diameter, enter Distance from Neutral Layer (d_nl) and hit the calculate button. Here is how the Condition for Maximum Bending Stress given Diameter calculation can be explained with given input values -> 10000 = 2*0.005.

FAQ

What is Condition for Maximum Bending Stress given Diameter?

Condition for maximum bending stress given diameter is a chord that runs through the center point of the circle and is represented as d = 2*d_nl or Diameter = 2*Distance from Neutral Layer. Distance from Neutral Layer is the distance of the considered layer from the neutral layer.

How to calculate Condition for Maximum Bending Stress given Diameter?

Condition for maximum bending stress given diameter is a chord that runs through the center point of the circle is calculated using Diameter = 2*Distance from Neutral Layer. To calculate Condition for Maximum Bending Stress given Diameter, you need Distance from Neutral Layer (d_nl). With our tool, you need to enter the respective value for Distance from Neutral Layer and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter?

In this formula, Diameter uses Distance from Neutral Layer. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter = 8*Eccentricity of Loading
Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to eccentric load
Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress))

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