Length of Secondary Member given Capacity Spectrum Calculator

✖Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.ⓘ Capacity Spectrum [C_s]			+10% -10%
✖Moment of Inertia of Secondary Member can be described as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of Inertia of Secondary Member [I_s]			+10% -10%
✖Spacing of Secondary Members can be described as the space in between the secondary members.ⓘ Spacing of Secondary Members [S]			+10% -10%

✖Length of Secondary Member can be described as the measurement of the secondary element in length.ⓘ Length of Secondary Member given Capacity Spectrum [L_s]

⎘ Copy

👎

Formula

✖

Length of Secondary Member given Capacity Spectrum

Formula

`"L"_{"s"} = ("C"_{"s"}*10^7*"I"_{"s"}/(32*"S"))^(1/4)`

Example

`"0.499875m"= ("5.55"*10^7*"90mm⁴/mm"/(32*"2.5m"))^(1/4)`

Calculator

LaTeX

Reset

👍

Download Bearing, Stresses, Plate Girders & Ponding Considerations Formulas PDF

Length of Secondary Member given Capacity Spectrum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4)
L_s = (C_s*10^7*I_s/(32*S))^(1/4)
This formula uses 4 Variables

Variables Used

Length of Secondary Member - (Measured in Meter) - Length of Secondary Member can be described as the measurement of the secondary element in length.
Capacity Spectrum - Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.
Moment of Inertia of Secondary Member - (Measured in Meter⁴ per Meter) - Moment of Inertia of Secondary Member can be described as the quantity expressed by the body resisting angular acceleration.
Spacing of Secondary Members - (Measured in Meter) - Spacing of Secondary Members can be described as the space in between the secondary members.

STEP 1: Convert Input(s) to Base Unit

Capacity Spectrum: 5.55 --> No Conversion Required
Moment of Inertia of Secondary Member: 90 Millimeter⁴ per Millimeter --> 9E-08 Meter⁴ per Meter (Check conversion here)
Spacing of Secondary Members: 2.5 Meter --> 2.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s = (C_s*10^7*I_s/(32*S))^(1/4) --> (5.55*10^7*9E-08/(32*2.5))^(1/4)

Evaluating ... ...

L_s = 0.499874953097637

STEP 3: Convert Result to Output's Unit

0.499874953097637 Meter --> No Conversion Required

FINAL ANSWER

0.499874953097637 ≈ 0.499875 Meter <-- Length of Secondary Member

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Design of Steel Structures » Bearing, Stresses, Plate Girders & Ponding Considerations » Ponding Considerations in Buildings » Length of Secondary Member given Capacity Spectrum

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 600+ more calculators!

< 7 Ponding Considerations in Buildings Calculators

Length of Primary Member using Collapse Prevention Level

Go Length of Primary Member = ((Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Secondary Member))^(1/4)

Length of Secondary Member given Capacity Spectrum

Go Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4)

Moment of Inertia of Primary Member using Collapse Prevention Level

Go Moment of Inertia of Primary Member = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Collapse Prevention Level)

Length of Secondary Member using Collapse Prevention Level

Go Length of Secondary Member = (Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Primary Member^4)

Collapse Prevention Level

Go Collapse Prevention Level = (32*Length of Primary Member^4*Length of Secondary Member)/(10^7*Moment of Inertia of Primary Member)

Capacity Spectrum

Go Capacity Spectrum = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Moment of Inertia of Secondary Member)

Moment of Inertia of Secondary Member given Capacity Spectrum

Go Moment of Inertia of Secondary Member = (32*Spacing of Secondary Members*Length of Secondary Member^4)/(10^7*Capacity Spectrum)

Length of Secondary Member given Capacity Spectrum Formula

Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4)
L_s = (C_s*10^7*I_s/(32*S))^(1/4)

What is Capacity Spectrum?

The Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates.

What is Collapse Prevention Level?

The Collapse Prevention Level is defined as the building performance level consisting of the structural collapse prevention level with no consideration of nonstructural vulnerabilities, except that parapets and heavy appendages are rehabilitated.

How to Calculate Length of Secondary Member given Capacity Spectrum?

Length of Secondary Member given Capacity Spectrum calculator uses Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4) to calculate the Length of Secondary Member, The Length of Secondary Member given Capacity Spectrum formula is defined as the measure of the secondary element in distance. Length of Secondary Member is denoted by L_s symbol.

How to calculate Length of Secondary Member given Capacity Spectrum using this online calculator? To use this online calculator for Length of Secondary Member given Capacity Spectrum, enter Capacity Spectrum (C_s), Moment of Inertia of Secondary Member (I_s) & Spacing of Secondary Members (S) and hit the calculate button. Here is how the Length of Secondary Member given Capacity Spectrum calculation can be explained with given input values -> 0.360422 = (5.55*10^7*9E-08/(32*2.5))^(1/4).

FAQ

What is Length of Secondary Member given Capacity Spectrum?

The Length of Secondary Member given Capacity Spectrum formula is defined as the measure of the secondary element in distance and is represented as L_s = (C_s*10^7*I_s/(32*S))^(1/4) or Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4). Capacity Spectrum can be defined as the capacity curve transformed from shear force vs. roof displacement coordinates into spectral acceleration vs. spectral displacement coordinates, Moment of Inertia of Secondary Member can be described as the quantity expressed by the body resisting angular acceleration & Spacing of Secondary Members can be described as the space in between the secondary members.

How to calculate Length of Secondary Member given Capacity Spectrum?

The Length of Secondary Member given Capacity Spectrum formula is defined as the measure of the secondary element in distance is calculated using Length of Secondary Member = (Capacity Spectrum*10^7*Moment of Inertia of Secondary Member/(32*Spacing of Secondary Members))^(1/4). To calculate Length of Secondary Member given Capacity Spectrum, you need Capacity Spectrum (C_s), Moment of Inertia of Secondary Member (I_s) & Spacing of Secondary Members (S). With our tool, you need to enter the respective value for Capacity Spectrum, Moment of Inertia of Secondary Member & Spacing of Secondary Members 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 Length of Secondary Member?

In this formula, Length of Secondary Member uses Capacity Spectrum, Moment of Inertia of Secondary Member & Spacing of Secondary Members. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Secondary Member = (Collapse Prevention Level*10^7*Moment of Inertia of Primary Member)/(32*Length of Primary Member^4)

Home

FREE PDFs

🔍 Search