Math Problem Statement
- A short square timber column has cross sectional 0.090 m². If the allowable unit tensile stress is 62,055 kPa, what load will the column support?
Solution
To find the load that the column can support, we can use the relationship between stress and load:
Rearranging this to find the load:
Given:
- Allowable tensile stress:
- Cross-sectional area:
First, convert the stress from to since :
Now, calculate the load:
Thus, the load the column can support is 5,584,950 N or 5,584.95 kN.
Would you like more details or have any questions?
Here are some related questions:
- What is the significance of tensile stress in timber structures?
- How do material properties affect the load-bearing capacity of timber?
- What are common failure modes for timber columns under compression?
- How would the load change if the cross-sectional area increased by 10%?
- How can you determine the maximum stress a material can withstand before failure?
Tip: Always verify material properties, as factors like humidity and grain direction can affect timber strength.
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Math Problem Analysis
Mathematical Concepts
Stress and Load Calculation
Unit Conversion
Formulas
Stress = Load / Area
Load = Stress × Area
Theorems
-
Suitable Grade Level
Grades 10-12
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