STAAD Foundation Advanced Help

Time Period page

Inputs in this page are basically required for wind load and seismic load calculation according to ASCE 7-05. There are three ways to enter/calculate time period:

  • Direct Input
  • Mass Table
  • Program Calculated
SettingDescription
Time Period Calculation

Select the method you want to use for determining the time period.

SettingDescription
< Previous

Steps the Wizard to the previous step.

Next >

Proceeds the Wizard to the next step.

Cancel

Exits the Wizard without creating a new Vertical Vessel Footing job.

Direct Input

SettingDescription
Fundamental Period (T)

Specify the fundamental time period of the vessel.

Mass Table

The time period is calculated using Von Mises Theorem equation:

T = ( H 100 ) 2 Σ w i Δ α i + 1 H Σ w i β i Σ ED i 3 t i Δ γ i

Where:

  • H = Overall height in feet,
  • D = Diameter of each section in feet,
  • w = Distributed weight per foot of each section,
  • W = Weight of each concentrated mass,
  • t = Shell thickness of each section in inches,
  • E = Modulus of elasticity for each section in millions of psi,
  • a,b and g = Are coefficient for a given level depending on hi/H(the ratio of height of the level above grade to the overall height). Da and Dg are the difference in the values of a and g,from the top to the bottom of each section of uniform weight, diameter and thickness. b is determined for each concentrated mass.
SettingDescription
Units Specify the values of Length, Force/Length, and Force used in both tables on this page to describe the mass of the vessel.
Distributed Mass table This table is used to describe how the mass is distributed over one or more vertical sections of the vessel.
SettingDescription
Mass/Length Specify a mass per unit of vertical height for this section of mass.
Height (Top / Bot) Specify the top and bottom heights, respectively, above base of this section of mass.
Diameter The diameter of the vertical vessel for this section.
Thickness The wall thickness of the vessel for this section.
Concentrated Mass table This table is used to specify point masses in the vessel, such as ladders, platforms, etc..
SettingDescription
Mass Specify the amount of lumped mass.
Height The height above base where the lumped mass is centered.
Calculate Time Period The program calculates the Fundamental Period and enters this value for the Fundamental Period (T) (non-editable).

Program Calculated

Fundamental Period is calculated by using formula as described below,

T = 1.79 w L 4 E I g

Where:

  • w = Weight of the structure, kips
  • L = Length of the structure, inch
  • E = Modulus of Elasticity, ksi
  • I = Moment of Inertia, in4
  • g = Gravitational acceleration
SettingDescription
Long-Period Transition Period Long-period transition period (TL), in seconds, determined in ASCE Section 11.4.5