Math Problem Statement
Find solution answer to filling space; using capentary code book of Canada
Solution
Based on the uploaded image and details provided, here's a breakdown and suggested approach for calculating the values necessary to fill in the missing fields in the worksheet while adhering to the Canadian carpentry code standards.
Information Available
- Beam length: 24’6” (converted to 24.5 feet or 294 inches)
- Span of beam: 23.83 feet (or 285.96 inches)
- Number of columns: 2
- Other provided dimensions:
- End bearing of the beam = 4 inches (this is the resting part on the supports).
Steps to Solve the Missing Fields
-
Distance Between Columns
With a total beam span of 23.83 feet and 2 columns, the distance between columns is calculated as follows:
Formula:
Number of spans is (number of columns - 1), which is 2 - 1 = 1.
Substituting:
Answer: 285.96 inches (23.83 feet).
-
Quarter Point Measurement
The quarter points divide the beam span into four equal parts:
Formula:
Substituting:
Answer: 71.49 inches (5.96 feet).
-
Additional Calculations
These fields may vary depending on particular code requirements (e.g., load per column, nailing specifics), but here's an assumption for basic details:- Use 2x6 stock for beam assembly.
- Top edges of beam plies should be aligned for full distribution and support.
-
Built-up Beam Plan
Follow the "Instructions" section to construct the plan:- Ensure columns are plumb and braced.
- All nailing must meet code requirements (specific nailing schedule outlined in the building code book).
- Double-check quarter-point spacing for equal beam distribution.
Suggestions:
Consult the Canadian National Building Code's carpentry section for the specific nailing schedule for built-up beams, especially for 2x6 laminations.
Do you want further clarification or details on this process? Below are 5 follow-up questions that might expand this topic:
- How do you calculate the load each column will support based on this beam length?
- What is the recommended nailing schedule for 2x6 lamination construction?
- How is the height of the sawhorse factored into the beam’s assembly and placement?
- What additional safety protocols apply when assembling built-up beams as per Canadian code?
- How is the "foundation wall spacing" used to ensure column placement accuracy?
Tip: Always double-check your beam span, end-bearing length, and column alignment to prevent structural issues during construction.
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Math Problem Analysis
Mathematical Concepts
Measurement and conversion
Division
Geometry (beam and column spacing)
Structural engineering principles
Formulas
Distance between columns = Total span length / (Number of columns - 1)
Quarter point measurement = Total span length / 4
Theorems
Load distribution principles in structural engineering
Suitable Grade Level
Grades 11-12 (Advanced High School) or Post-secondary Carpentry/Construction courses
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