FormulaDen.com

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

Inner Diameter of Hollow Circular Shape in Bending Stress Formula

Fx Copy

LaTeX Copy

The Inner Diameter of Shaft is the length of the longest chord inside the hollow shaft. Check FAQs

d i = {(({d o}^{4}) - (32 \cdot Z \cdot \frac{d o}{π}))}^{\frac{1}{4}}

d_i - Inner Diameter of Shaft?d_o - Outer Diameter of Shaft?Z - Section Modulus?π - Archimedes' constant?

Inner Diameter of Hollow Circular Shape in Bending Stress Example

With values

With units

Only example

Here is how the Inner Diameter of Hollow Circular Shape in Bending Stress equation looks like with Values.

Here is how the Inner Diameter of Hollow Circular Shape in Bending Stress equation looks like with Units.

Here is how the Inner Diameter of Hollow Circular Shape in Bending Stress equation looks like.

700 = {((700^{4}) - (32 \cdot 0.0414 \cdot \frac{700}{3.1416}))}^{\frac{1}{4}}

700mm = {(({700mm}^{4}) - (32 \cdot 0.0414m³ \cdot \frac{700mm}{3.1416}))}^{\frac{1}{4}}

700 = {((700^{4}) - (32 \cdot 0.0414 \cdot \frac{700}{3.1416}))}^{\frac{1}{4}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Inner Diameter of Hollow Circular Shape in Bending Stress

Inner Diameter of Hollow Circular Shape in Bending Stress Solution

Follow our step by step solution on how to calculate Inner Diameter of Hollow Circular Shape in Bending Stress?

FIRST Step Consider the formula

d i = {(({d o}^{4}) - (32 \cdot Z \cdot \frac{d o}{π}))}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d i = {(({700mm}^{4}) - (32 \cdot 0.0414m³ \cdot \frac{700mm}{π}))}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

d i = {(({700mm}^{4}) - (32 \cdot 0.0414m³ \cdot \frac{700mm}{3.1416}))}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d i = {((700^{4}) - (32 \cdot 0.0414 \cdot \frac{700}{3.1416}))}^{\frac{1}{4}}

Next Step Evaluate

∴

d i = 0.699999999784797m

Next Step Convert to Output's Unit

∴

d i = 699.999999784797mm

LAST Step Rounding Answer

∴

d i = 700mm

Inner Diameter of Hollow Circular Shape in Bending Stress Formula Elements

Variables

Constants

Inner Diameter of Shaft

The Inner Diameter of Shaft is the length of the longest chord inside the hollow shaft.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Shaft

Outer Diameter of Shaft

Outer Diameter of Shaft is the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Shaft

Section Modulus

The Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: Z

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Section Modulus for Various Shapes category

Go Section Modulus of Rectangular Shape

Z = \frac{b \cdot d^{2}}{6}

Go Breadth of Rectangular Shape given Section Modulus

b = \frac{6 \cdot Z}{d^{2}}

Go Depth of Rectangular Shape given Section Modulus

d = \sqrt{\frac{6 \cdot Z}{b}}

Go Section Modulus of Hollow Rectangular Shape

Z = \frac{(B o \cdot {D o}^{3}) - (B i \cdot {D i}^{3})}{6 \cdot D o}

How to Evaluate Inner Diameter of Hollow Circular Shape in Bending Stress?

Inner Diameter of Hollow Circular Shape in Bending Stress evaluator uses Inner Diameter of Shaft = ((Outer Diameter of Shaft^4)-(32*Section Modulus*Outer Diameter of Shaft/pi))^(1/4) to evaluate the Inner Diameter of Shaft, The Inner Diameter of Hollow Circular Shape in Bending Stress formula is defined as the inner diameter which can result in the specified section modulus. Inner Diameter of Shaft is denoted by d_i symbol.

How to evaluate Inner Diameter of Hollow Circular Shape in Bending Stress using this online evaluator? To use this online evaluator for Inner Diameter of Hollow Circular Shape in Bending Stress, enter Outer Diameter of Shaft (d_o) & Section Modulus (Z) and hit the calculate button.

FAQs on Inner Diameter of Hollow Circular Shape in Bending Stress

What is the formula to find Inner Diameter of Hollow Circular Shape in Bending Stress?

The formula of Inner Diameter of Hollow Circular Shape in Bending Stress is expressed as Inner Diameter of Shaft = ((Outer Diameter of Shaft^4)-(32*Section Modulus*Outer Diameter of Shaft/pi))^(1/4). Here is an example- 700000 = ((0.7^4)-(32*0.04141*0.7/pi))^(1/4).

How to calculate Inner Diameter of Hollow Circular Shape in Bending Stress?

With Outer Diameter of Shaft (d_o) & Section Modulus (Z) we can find Inner Diameter of Hollow Circular Shape in Bending Stress using the formula - Inner Diameter of Shaft = ((Outer Diameter of Shaft^4)-(32*Section Modulus*Outer Diameter of Shaft/pi))^(1/4). This formula also uses Archimedes' constant .

Can the Inner Diameter of Hollow Circular Shape in Bending Stress be negative?

No, the Inner Diameter of Hollow Circular Shape in Bending Stress, measured in Length cannot be negative.

Which unit is used to measure Inner Diameter of Hollow Circular Shape in Bending Stress?

Inner Diameter of Hollow Circular Shape in Bending Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Inner Diameter of Hollow Circular Shape in Bending Stress can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Inner Diameter of Hollow Circular Shape in Bending Stress Formula

Inner Diameter of Hollow Circular Shape in Bending Stress Example

Inner Diameter of Hollow Circular Shape in Bending Stress Solution

Inner Diameter of Hollow Circular Shape in Bending Stress Formula Elements

Other formulas in Section Modulus for Various Shapes category

How to Evaluate Inner Diameter of Hollow Circular Shape in Bending Stress?

FAQs on Inner Diameter of Hollow Circular Shape in Bending Stress

Variable Name