2. 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?

To find the load that the column can support, we can use the relationship between stress and load:

\[
\text{Stress} = \frac{\text{Load}}{\text{Area}}
\]

Rearranging this to find the load:

\[
\text{Load} = \text{Stress} \times \text{Area}
\]

### Given:
- **Allowable tensile stress**: \( 62,055 \, \text{kPa} \)
- **Cross-sectional area**: \( 0.090 \, \text{m}^2 \)

First, convert the stress from \( \text{kPa} \) to \( \text{N/m}^2 \) since \( 1 \, \text{kPa} = 1,000 \, \text{N/m}^2 \):

\[
\text{Stress} = 62,055 \, \text{kPa} = 62,055 \times 1,000 = 62,055,000 \, \text{N/m}^2
\]

Now, calculate the load:

\[
\text{Load} = 62,055,000 \, \text{N/m}^2 \times 0.090 \, \text{m}^2
\]
\[
\text{Load} = 5,584,950 \, \text{N}
\]

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:
1. What is the significance of tensile stress in timber structures?
2. How do material properties affect the load-bearing capacity of timber?
3. What are common failure modes for timber columns under compression?
4. How would the load change if the cross-sectional area increased by 10%?
5. 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.

A short square timber column has a cross-sectional area of 0.090 m². If the allowable unit tensile stress is 62,055 kPa, what load will the column support?

Discover how to calculate the load a timber column with a cross-sectional area of 0.090 m² can support given an allowable tensile stress of 62,055 kPa. This problem involves stress-load relationships and unit conversion, perfect for students in Grades 10-12.

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