2. 2
The UBC - 97 Form of Equation
• The base shear equation:
• 𝐼 = Importance factor, for a specific occupancy category, from UBC Table 16-K
• 𝐶𝑣 = Velocity based ground response coefficient, for a specific seismic zone and soil profile, from UBC Table 16-R
• 𝑅 = response modification factor, for a specific structural system, from UBC Table 16-N
• 𝑇 = Fundamental; period of vibration, from UBC Formula (30-8) or (30-10)
𝑉 = 𝐶𝑠 𝑊
𝐶𝑠 =
𝐶𝑣 𝐼
𝑅 𝑇
4. 4
Step 1: Determine Seismic Zone Factor Z
Step 2: Determine Seismic Source Type
Step 3: Determine Near Source Factor
Step 4: Determine Soil Profile Type
Step 5: Determine Ground Response Coefficients 𝐶𝑎 and 𝐶𝑣
Step 6: Determine Fundamental period T
Step7: Classify the Structural System and determine the Response Modification Factor R
Step 8: Determine the Occupancy Categories and Importance Factor I
Step 9: Determine the Seismic Response Coefficient 𝐶𝑠
Step 10: Determine the Base Shear
Step 11: Vertical Distribution of Base Shear into Lateral Forces
The Overall Equivalent Static Analysis Procedure in UBC 97
15. 15
• Maximum Inelastic Displacement (Eq. 30-17)
∆𝑀 = 0.7 𝑅 ∆𝑠
∆𝑀 = maximum inelastic displacement
𝑅 = Overstrength factor
∆𝑠 = design level displacement by design seismic forces
• Drift Limit:
Story drifts shall be computed using the Maximum Inelastic Response Displacement, ∆𝑀.
For structures having time period < 0.7s, Drift limit = 0.025 x story height
For structures having time period ≥ 0.7s, Drift limit = 0.02 x story height
Inelastic Displacement and Drift Limits (UBC 97)