Study Notes: Structures Analysis - Midterm Winter 2025

Structural Analysis: Maximum Beam Spacing Calculation

Context

  • A building owner has acquired a facility and intends to transform it into a factory.
  • The second storey floor is constructed using concrete beams, and a specific loading pattern related to the new factory setup has been provided.

Loading Details

  • Loading Pattern: Based on provided details, consider the following load types and values:
    • P1: Structural loading components detailed in the configuration are:
    • SL (Service Live load) = 35 kN
    • SD (Service Dead load) = 20 kN
    • SP (Load P1) = 45 kN
    • SL_2 = 28 kN
  • Unit Loads:
    • Service Dead Load: 2.2 kPa
    • Service Live Load: 10.0 kPa (assuming it refers to a library study room)

Objective

  • Find the maximum beam spacing (or tributary width) allowable using a Dead + Live load combination. The final answer must be rounded to one decimal place.

Calculation Framework

  1. Load Combination: Combine Dead and Live Loads for structural analysis.
    • The total load (TL) can be expressed as:
      TL=SD+SLTL = SD + SL
  2. Self-weight Consideration: The calculation must take into account the self-weight of the structure.
  3. Code Compliance: Ensure to adhere to structural design codes such as using 25 MPa concrete given the specified environmental conditions of exterior exposure and aggregate size of 20 mm.

Beam Spacing Calculation Steps

  • Tributary Width Calculation:
    • Determine load acting on the beams based on beam spacing.
    • Calculate the tributary area contributing to each beam; this involves understanding how loads distribute across beams based on their spacing.
    • Utilize the service loads to achieve the maximum spacing condition based on concrete strength and load-carrying capabilities.

Final Calculation Variables

  • Once all parameters are consolidated, compute the maximum beam spacing using appropriate equations fitting for the loading scenario and beam designs.

Results

  • Round the maximum beam spacing to one decimal place based on finalized calculations.

Numerals and Constants

  • All calculations may involve the following constants and design configurations:
    • Concrete Strength: 25 MPa
    • Maximum Aggregate Size: 20 mm
    • Shear Steel Configuration: Specified as 4 @ 20M, which would relate to steel reinforcement detailing.

General Notes

  • Ensure detailed understanding of the loads detailed and applicable factors within each load type for comprehensive evaluation.
  • Maintain rigorous eye on assumptions made about infrastructure (e.g., self-weight) and load behavior under distributed conditions.