Combined Stresses at Topmost Fibre of Cross Section Calculator

✖Stress due to Internal Pressure refers to the amount of pressure-induced stress exerted on the walls of a container or vessel due to the presence of fluids or gases inside.ⓘ Stress due to Internal Pressure [f_cs1]			+10% -10%
✖The Stress Bending Moment at Topmost of Cross Section refers to the amount of stress that develops at the outermost or topmost layer of a vessel.ⓘ Stress Bending Moment at Topmost of Cross Section [f₁]			+10% -10%

✖Combined Stresses Topmost Fibre Cross Section refers to the combined effect of bending stress and axial stress at the extreme fiber of the cross section.ⓘ Combined Stresses at Topmost Fibre of Cross Section [f_1cs]

⎘ Copy

👎

Formula

✖

Combined Stresses at Topmost Fibre of Cross Section

Formula

`"f"_{"1cs"} = "f"_{"cs1"}+"f"_{"1"}`

Example

`"61.197N/mm²"="61.19N/mm²"+"0.007N/mm²"`

Calculator

LaTeX

Reset

👍

Download Saddle Support Formulas PDF PDF Image

Combined Stresses at Topmost Fibre of Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Combined Stresses Topmost Fibre Cross Section = Stress due to Internal Pressure+Stress Bending Moment at Topmost of Cross Section
f_1cs = f_cs1+f₁
This formula uses 3 Variables

Variables Used

Combined Stresses Topmost Fibre Cross Section - (Measured in Pascal) - Combined Stresses Topmost Fibre Cross Section refers to the combined effect of bending stress and axial stress at the extreme fiber of the cross section.
Stress due to Internal Pressure - (Measured in Pascal) - Stress due to Internal Pressure refers to the amount of pressure-induced stress exerted on the walls of a container or vessel due to the presence of fluids or gases inside.
Stress Bending Moment at Topmost of Cross Section - (Measured in Pascal) - The Stress Bending Moment at Topmost of Cross Section refers to the amount of stress that develops at the outermost or topmost layer of a vessel.

STEP 1: Convert Input(s) to Base Unit

Stress due to Internal Pressure: 61.19 Newton per Square Millimeter --> 61190000 Pascal (Check conversion here)
Stress Bending Moment at Topmost of Cross Section: 0.007 Newton per Square Millimeter --> 7000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_1cs = f_cs1+f₁ --> 61190000+7000

Evaluating ... ...

f_1cs = 61197000

STEP 3: Convert Result to Output's Unit

61197000 Pascal -->61.197 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

61.197 Newton per Square Millimeter <-- Combined Stresses Topmost Fibre Cross Section

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Process Equipment Design » Vessel Supports » Saddle Support » Combined Stresses at Topmost Fibre of Cross Section

Credits

Created by Heet

Thadomal Shahani Engineering College (Tsec), Mumbai

Heet has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 12 Saddle Support Calculators

Bending Moment at Support

Go Bending Moment at Support = Total Load per Saddle*Distance from Tangent Line to Saddle Centre*((1)-((1-(Distance from Tangent Line to Saddle Centre/Tangent to Tangent Length of Vessel)+(((Vessel Radius)^(2)-(Depth of Head)^(2))/(2*Distance from Tangent Line to Saddle Centre*Tangent to Tangent Length of Vessel)))/(1+(4/3)*(Depth of Head/Tangent to Tangent Length of Vessel))))

Bending Moment at Centre of Vessel Span

Go Bending Moment at Centre of Vessel Span = (Total Load per Saddle*Tangent to Tangent Length of Vessel)/(4)*(((1+2*(((Vessel Radius)^(2)-(Depth of Head)^(2))/(Tangent to Tangent Length of Vessel^(2))))/(1+(4/3)*(Depth of Head/Tangent to Tangent Length of Vessel)))-(4*Distance from Tangent Line to Saddle Centre)/Tangent to Tangent Length of Vessel)

Period of Vibration at Dead Weight

Go Period of Vibration at Dead Weight = 6.35*10^(-5)*(Overall Height of Vessel/Diameter of Shell Vessel Support)^(3/2)*(Weight of Vessel with Attachments and Contents/Corroded Vessel Wall Thickness)^(1/2)

Stress due to Longitudinal Bending at Top most Fibre of Cross Section

Go Stress Bending Moment at Topmost of Cross Section = Bending Moment at Support/(Value of k1 depending on Saddle Angle*pi*(Shell Radius)^(2)*Shell Thickness)

Stress due to Longitudinal Bending at Bottom most Fibre of Cross Section

Go Stress at Bottom most Fibre of Cross Section = Bending Moment at Support/(Value of k2 depending on Saddle Angle*pi*(Shell Radius)^(2)*Shell Thickness)

Stress due to Longitudinal Bending at Mid-Span

Go Stress due to Longitudinal Bending at Mid-Span = Bending Moment at Centre of Vessel Span/(pi*(Shell Radius)^(2)*Shell Thickness)

Stress due to Seismic Bending Moment

Go Stress due to Seismic Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Thickness of Skirt)

Combined Stresses at Topmost Fibre of Cross Section

Go Combined Stresses Topmost Fibre Cross Section = Stress due to Internal Pressure+Stress Bending Moment at Topmost of Cross Section

Combined Stresses at Bottommost Fibre of Cross Section

Go Combined Stresses Bottommost Fibre Cross Section = Stress due to Internal Pressure-Stress at Bottom most Fibre of Cross Section

Combined Stresses at Mid Span

Go Combined Stresses at Mid Span = Stress due to Internal Pressure+Stress due to Longitudinal Bending at Mid-Span

Stability Coefficient of Vessel

Go Stability Coefficient of Vessel = (Bending Moment due to Minimum Weight of Vessel)/Maximum Wind Moment

Corresponding Bending Stress with Section Modulus

Go Axial Bending Stress at Base of Vessel = Maximum Wind Moment/Section Modulus of Skirt Cross Section

Combined Stresses at Topmost Fibre of Cross Section Formula

Combined Stresses Topmost Fibre Cross Section = Stress due to Internal Pressure+Stress Bending Moment at Topmost of Cross Section
f_1cs = f_cs1+f₁

What is Design Stress?

Design stress refers to the maximum allowable stress that a material or structure can withstand under certain design conditions without experiencing deformation or failure. It is a key factor in engineering design, as it ensures that a structure or component will be able to function safely and effectively under anticipated loading conditions. Design stress is typically determined through various types of analysis, including theoretical calculations, computer simulations, and physical testing. The specific factors that are taken into account when determining design stress include the type of material used, the geometry and shape of the structure, the anticipated loads and forces that will be applied, and the operating environment in which the structure will be used.

How to Calculate Combined Stresses at Topmost Fibre of Cross Section?

Combined Stresses at Topmost Fibre of Cross Section calculator uses Combined Stresses Topmost Fibre Cross Section = Stress due to Internal Pressure+Stress Bending Moment at Topmost of Cross Section to calculate the Combined Stresses Topmost Fibre Cross Section, Combined Stresses at Topmost Fibre of Cross Section refers to the combined effect of bending stress and axial stress at the extreme fiber of the cross section. Combined Stresses Topmost Fibre Cross Section is denoted by f_1cs symbol.

How to calculate Combined Stresses at Topmost Fibre of Cross Section using this online calculator? To use this online calculator for Combined Stresses at Topmost Fibre of Cross Section, enter Stress due to Internal Pressure (f_cs1) & Stress Bending Moment at Topmost of Cross Section (f₁) and hit the calculate button. Here is how the Combined Stresses at Topmost Fibre of Cross Section calculation can be explained with given input values -> 6.1E-5 = 61190000+7000.

FAQ

What is Combined Stresses at Topmost Fibre of Cross Section?

Combined Stresses at Topmost Fibre of Cross Section refers to the combined effect of bending stress and axial stress at the extreme fiber of the cross section and is represented as f_1cs = f_cs1+f₁ or Combined Stresses Topmost Fibre Cross Section = Stress due to Internal Pressure+Stress Bending Moment at Topmost of Cross Section. Stress due to Internal Pressure refers to the amount of pressure-induced stress exerted on the walls of a container or vessel due to the presence of fluids or gases inside & The Stress Bending Moment at Topmost of Cross Section refers to the amount of stress that develops at the outermost or topmost layer of a vessel.

How to calculate Combined Stresses at Topmost Fibre of Cross Section?

Combined Stresses at Topmost Fibre of Cross Section refers to the combined effect of bending stress and axial stress at the extreme fiber of the cross section is calculated using Combined Stresses Topmost Fibre Cross Section = Stress due to Internal Pressure+Stress Bending Moment at Topmost of Cross Section. To calculate Combined Stresses at Topmost Fibre of Cross Section, you need Stress due to Internal Pressure (f_cs1) & Stress Bending Moment at Topmost of Cross Section (f₁). With our tool, you need to enter the respective value for Stress due to Internal Pressure & Stress Bending Moment at Topmost of Cross Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search