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Seismic Building Design

The Seismic Building Design tab describes the building and calculates its seismic forces by the equivalent lateral force procedure of Section 12.8. You enter the levels with their elevations and seismic weights, and one or more seismic force-resisting systems from Table 12.2-1. For each system, Prose reports the approximate period, the seismic response coefficient, the base shear, and the forces at every level.

ASCE 7-22 renumbered several Section 12.8 equations, so the equation numbers below are given for each edition.

Key Features

  • Any number of building levels, each with an elevation and a seismic weight
  • The total seismic weight W summed for you
  • The complete Table 12.2-1 library of seismic force-resisting systems, by category
  • R, Ω0, Cd, and the system limitations, including height limits, for Seismic Design Categories B through F shown for the chosen system
  • Approximate period Ta per Section 12.8.2.1, with Ct and x for the system type
  • Seismic response coefficient Cs with the Section 12.8.1.1 limits, and the base shear V
  • Vertical distribution of forces Fx and diaphragm forces Fpx at each level
  • Several systems side by side, for example one per direction

Building Levels

The Levels table holds one row per level above the base. A new module starts with two placeholder rows.

Column Description
Description The level's name, such as "Roof" or "Level 2"
Elevation, ft The height of the level above the base
Seismic Weight, K The effective seismic weight tributary to the level, in kips, per Section 12.7.2
  • Add Level adds a row
  • The three-dot menu (⋮) at the end of a row deletes it
  • Seismic Weight, W below the table is the sum of the level weights

Drag rows by their handle to reorder them. Values commit when you leave the field.

Seismic Force-Resisting Systems

Each system card describes one seismic force-resisting system.

Input Description
Seismic System Name How the system is labelled in the summary and the report, for example "N-S Resisting System"
System Category The lettered group of Table 12.2-1: bearing wall systems, building frame systems, moment-resisting frame systems, dual systems, and the rest
System Name The numbered system within the category

Choosing a system fills in its design coefficients from Table 12.2-1: the response modification coefficient R, the overstrength factor Ω0, and the deflection amplification factor Cd, with the system limitations, including height limits, for seismic design categories B through F. A limit shown as NL means not limited; NP means the system is not permitted in that category.

Check the height limit first

The system limitation for the structure's seismic design category decides whether a system may be used at all. The height limit applies to the structural height hn defined in Section 11.2. Table footnotes and Sections 12.2.5.4, 12.2.5.6, and 12.2.5.7 can modify the tabulated limits; Section 12.2.5.4, for example, permits some systems up to 240 ft in Seismic Design Categories D and E and 160 ft in F. Prose shows the tabulated limit; the check against the structure is yours.

Several Systems

  • + Add System adds an empty system card
  • The three-dot menu (⋮) on a system's header offers Duplicate, which copies the system with its selections, and Delete, which asks you to confirm

Use one system per direction when the building resists seismic forces differently in each, and name them for the direction. Each system gets its own period, base shear, and distribution.

Base Shear and Force Distribution

Under each system, Prose writes out the equivalent lateral force calculation:

Result Description
Approximate period, Ta Ta = Ct hn^x, with Ct and x from Table 12.8-2 for the system type and hn the structural height (Section 11.2). Equation 12.8-7 in ASCE 7-10 and 7-16, Equation 12.8-8 in ASCE 7-22. The moment frame values of Ct and x apply only where the frames resist 100% of the required seismic force and are not enclosed or adjoined by more rigid components
Seismic response coefficient, Cs Cs = SDS / (R / Ie), with an upper limit for T up to TL and another for T above TL, a minimum, and a second minimum that applies where S1 is 0.6g or more. ASCE 7-10 and 7-16: Equation 12.8-2, upper limits 12.8-3 and 12.8-4, minimums 12.8-5 and 12.8-6. ASCE 7-22: Equation 12.8-3 (Method 2), upper limits 12.8-4 and 12.8-5, minimums 12.8-6 and 12.8-7
Base shear, V V = Cs W per Equation 12.8-1
Vertical distribution The force Fx at each level, with the exponent k for the period. Equations 12.8-11 and 12.8-12 in ASCE 7-10 and 7-16, Equations 12.8-12 and 12.8-13 in ASCE 7-22
Diaphragm forces, Fpx The diaphragm design force at each level per Section 12.10.1.1, kept between 0.2 SDS Ie wpx and 0.4 SDS Ie wpx. Transfer forces from offsets in the vertical elements are not included; add them where they occur. Precast concrete diaphragms are designed under Section 12.10.3 in ASCE 7-16 and 7-22, and ASCE 7-22 permits Section 12.10.4 for one-story structures

On ASCE 7-16 projects on Site Class E with Ss of 1.0 or more or S1 of 0.2 or more, where the tabulated site coefficients are used, Section 11.4.8 as revised by Supplement 3 takes Cs from Equation 12.8-2 for all periods, so the upper limits do not apply. On Site Class D with S1 of 0.2 or more, SM1 is increased by 50% instead (see Design Criteria).

The chart marks the system's period on the design response spectrum. The Distribution of Forces table lists Cvx, Fx, and Fpx for every level.

Summary View

The summary on the right lists the building information, then for each system its design details: the system coefficients, the period, the base shear with every limit checked, and the force distributions. The outline button at the top jumps to a system.

Code Reference

Topic ASCE 7-10 ASCE 7-16 ASCE 7-22
System selection, design coefficients, and system limitations Section 12.2, Table 12.2-1 Section 12.2, Table 12.2-1 Section 12.2, Table 12.2-1
Effective seismic weight Section 12.7.2 Section 12.7.2 Section 12.7.2
Seismic base shear Section 12.8.1, Equation 12.8-1 Section 12.8.1, Equation 12.8-1 Section 12.8.1, Equation 12.8-1
Cs and its limits Section 12.8.1.1, Equations 12.8-2 through 12.8-6 Section 12.8.1.1, Equations 12.8-2 through 12.8-6 Section 12.8.1.1, Equations 12.8-3 through 12.8-7
Approximate period Ta Section 12.8.2.1, Equation 12.8-7, Table 12.8-2 Section 12.8.2.1, Equation 12.8-7, Table 12.8-2 Section 12.8.2.1, Equation 12.8-8, Table 12.8-2
Vertical distribution of seismic forces Section 12.8.3, Equations 12.8-11 and 12.8-12 Section 12.8.3, Equations 12.8-11 and 12.8-12 Section 12.8.3, Equations 12.8-12 and 12.8-13
Diaphragm design forces Section 12.10.1.1 Section 12.10.1.1 Section 12.10.1.1