13-18. The 10-fL wooden column has the dimensions shown. Determine the critical load if the botiom is fixed and the top is pinned. E = 1.6(10) ksi, oy 5 ksi. 10位 4in.T圈 2 in. Probs. 13-17/18

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 13-18**

The 10-ft wooden column has the dimensions shown. Determine the critical load if the bottom is fixed and the top is pinned. \( E_w = 1.6(10^3) \, \text{ksi}, \, \sigma_y = 5 \, \text{ksi}. \)

**Diagram:**

- The diagram depicts a vertical wooden column with a height of 10 feet.
- The column has a rectangular cross-section with dimensions 4 inches by 2 inches.
- The diagram indicates that the bottom of the column is fixed, while the top is pinned, suggesting rotational freedom at the top under load.

The problem asks to determine the critical load—the load at which the column becomes unstable and buckles. The given material properties are the modulus of elasticity \( E_w = 1.6 \times 10^3 \), expressed in ksi, and the yield stress \( \sigma_y = 5 \) ksi.
Transcribed Image Text:**Problem 13-18** The 10-ft wooden column has the dimensions shown. Determine the critical load if the bottom is fixed and the top is pinned. \( E_w = 1.6(10^3) \, \text{ksi}, \, \sigma_y = 5 \, \text{ksi}. \) **Diagram:** - The diagram depicts a vertical wooden column with a height of 10 feet. - The column has a rectangular cross-section with dimensions 4 inches by 2 inches. - The diagram indicates that the bottom of the column is fixed, while the top is pinned, suggesting rotational freedom at the top under load. The problem asks to determine the critical load—the load at which the column becomes unstable and buckles. The given material properties are the modulus of elasticity \( E_w = 1.6 \times 10^3 \), expressed in ksi, and the yield stress \( \sigma_y = 5 \) ksi.
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