FormulaDen.com

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

Stress due to Longitudinal Bending at Mid-Span Formula

Fx Copy

LaTeX Copy

Stress due to Longitudinal Bending at Mid-Spann refers to the amount of stress that develops at the extreme fibre located at the bottom of a cross section. Check FAQs

f 3 = \frac{M 2}{π \cdot {(R)}^{2} \cdot t}

f₃ - Stress due to Longitudinal Bending at Mid-Span?M₂ - Bending Moment at Centre of Vessel Span?R - Shell Radius?t - Shell Thickness?π - Archimedes' constant?

Stress due to Longitudinal Bending at Mid-Span Example

With values

With units

Only example

Here is how the Stress due to Longitudinal Bending at Mid-Span equation looks like with Values.

Here is how the Stress due to Longitudinal Bending at Mid-Span equation looks like with Units.

Here is how the Stress due to Longitudinal Bending at Mid-Span equation looks like.

26.122 = \frac{3.1E+10}{3.1416 \cdot {(1380)}^{2} \cdot 200}

26.122N/mm² = \frac{3.1E+10N*mm}{3.1416 \cdot {(1380mm)}^{2} \cdot 200mm}

26.122 = \frac{3.1E+10}{3.1416 \cdot {(1380)}^{2} \cdot 200}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Process Equipment Design » fx Stress due to Longitudinal Bending at Mid-Span

Stress due to Longitudinal Bending at Mid-Span Solution

Follow our step by step solution on how to calculate Stress due to Longitudinal Bending at Mid-Span?

FIRST Step Consider the formula

f 3 = \frac{M 2}{π \cdot {(R)}^{2} \cdot t}

Next Step Substitute values of Variables

∴

f 3 = \frac{3.1E+10N*mm}{π \cdot {(1380mm)}^{2} \cdot 200mm}

Next Step Substitute values of Constants

∴

f 3 = \frac{3.1E+10N*mm}{3.1416 \cdot {(1380mm)}^{2} \cdot 200mm}

Next Step Convert Units

∴

f 3 = \frac{3.1E+7N*m}{3.1416 \cdot {(1.38m)}^{2} \cdot 0.2m}

Next Step Prepare to Evaluate

∴

f 3 = \frac{3.1E+7}{3.1416 \cdot {(1.38)}^{2} \cdot 0.2}

Next Step Evaluate

∴

f 3 = 26121993.7076893Pa

Next Step Convert to Output's Unit

∴

f 3 = 26.1219937076893N/mm²

LAST Step Rounding Answer

∴

f 3 = 26.122N/mm²

Stress due to Longitudinal Bending at Mid-Span Formula Elements

Variables

Constants

Stress due to Longitudinal Bending at Mid-Span

Stress due to Longitudinal Bending at Mid-Spann refers to the amount of stress that develops at the extreme fibre located at the bottom of a cross section.

Symbol: f₃

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress due to Longitudinal Bending at Mid-Span

Bending Moment at Centre of Vessel Span

Bending Moment at Centre of Vessel Span refers to the maximum bending moment that occurs at the midpoint of a vessel's span, which is the distance between the supports that hold up the vessel.

Symbol: M₂

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment at Centre of Vessel Span

Shell Radius

Shell Radius refers to the distance from the center of the vessel to its outermost point on the cylindrical or spherical shell.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Radius

Shell Thickness

Shell thickness is the the distance through the shell.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Thickness

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 Saddle Support category

Go Combined Stresses at Mid Span

f cs3 = f cs1 + f 3

Go Bending Moment at Support

M 1 = Q \cdot A \cdot ((1) - (\frac{1 - (\frac{A}{L}) + (\frac{{(R vessel)}^{2} - {(Depth Head)}^{2}}{2 \cdot A \cdot L})}{1 + (\frac{4}{3}) \cdot (\frac{Depth Head}{L})}))

Go Combined Stresses at Bottommost Fibre of Cross Section

f cs2 = f cs1 - f 2

Go Combined Stresses at Topmost Fibre of Cross Section

f 1cs = f cs1 + f 1

How to Evaluate Stress due to Longitudinal Bending at Mid-Span?

Stress due to Longitudinal Bending at Mid-Span evaluator uses Stress due to Longitudinal Bending at Mid-Span = Bending Moment at Centre of Vessel Span/(pi*(Shell Radius)^(2)*Shell Thickness) to evaluate the Stress due to Longitudinal Bending at Mid-Span, Stress due to Longitudinal Bending at Mid-Span refers to the maximum tensile and compressive stresses experienced by a structural member at the point of maximum bending moment, which is typically located at the center of the span. Stress due to Longitudinal Bending at Mid-Span is denoted by f₃ symbol.

How to evaluate Stress due to Longitudinal Bending at Mid-Span using this online evaluator? To use this online evaluator for Stress due to Longitudinal Bending at Mid-Span, enter Bending Moment at Centre of Vessel Span (M₂), Shell Radius (R) & Shell Thickness (t) and hit the calculate button.

FAQs on Stress due to Longitudinal Bending at Mid-Span

What is the formula to find Stress due to Longitudinal Bending at Mid-Span?

The formula of Stress due to Longitudinal Bending at Mid-Span is expressed as Stress due to Longitudinal Bending at Mid-Span = Bending Moment at Centre of Vessel Span/(pi*(Shell Radius)^(2)*Shell Thickness). Here is an example- 2.6E-5 = 31256789.045/(pi*(1.38)^(2)*0.2).

How to calculate Stress due to Longitudinal Bending at Mid-Span?

With Bending Moment at Centre of Vessel Span (M₂), Shell Radius (R) & Shell Thickness (t) we can find Stress due to Longitudinal Bending at Mid-Span using the formula - Stress due to Longitudinal Bending at Mid-Span = Bending Moment at Centre of Vessel Span/(pi*(Shell Radius)^(2)*Shell Thickness). This formula also uses Archimedes' constant .

Can the Stress due to Longitudinal Bending at Mid-Span be negative?

No, the Stress due to Longitudinal Bending at Mid-Span, measured in Stress cannot be negative.

Which unit is used to measure Stress due to Longitudinal Bending at Mid-Span?

Stress due to Longitudinal Bending at Mid-Span is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Stress due to Longitudinal Bending at Mid-Span can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Stress due to Longitudinal Bending at Mid-Span Formula

Stress due to Longitudinal Bending at Mid-Span Example

Stress due to Longitudinal Bending at Mid-Span Solution

Stress due to Longitudinal Bending at Mid-Span Formula Elements

Other formulas in Saddle Support category

How to Evaluate Stress due to Longitudinal Bending at Mid-Span?

FAQs on Stress due to Longitudinal Bending at Mid-Span

Variable Name