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haw bong lworuld thei pole need to be to buck'le nder elf weighe? CONSTANTS 1= % *, A=rr;, E • 200 E9 fe, 8= 700 kgh? g = 9.81 m/st re 0.01 m

haw bong lworuld thei pole need to be to buck'le nder elf weighe? CONSTANTS 1= % *, A=rr;, E • 200 E9 fe, 8= 700 kgh? g = 9.81 m/st re 0.01 m

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Analysis of Pole Buckling Under Self-Weight **Objective:** Determine the length at which a vertical pole will buckle under its own weight. **Given Diagram:** A vertical pole fixed at the base, showing forces acting due to self-weight. **Constants:** - **Moment of Inertia (I):** \[ I = \frac{\pi}{4}r^4 \] - **Cross-sectional Area (A):** \[ A = \pi r^2 \] - **Modulus of Elasticity (E):** \[ E = 200 \times 10^9 \, \text{Pa} \] - **Density (β):** \[ \beta = 7800 \, \text{kg/m}^3 \] - **Acceleration due to Gravity (g):** \[ g = 9.81 \, \text{m/s}^2 \] - **Radius (r):** \[ r = 0.01 \, \text{m} \] This setting and information enable calculations concerning the buckling behavior under given conditions of material and geometry.
Transcribed Image Text:### Analysis of Pole Buckling Under Self-Weight **Objective:** Determine the length at which a vertical pole will buckle under its own weight. **Given Diagram:** A vertical pole fixed at the base, showing forces acting due to self-weight. **Constants:** - **Moment of Inertia (I):** \[ I = \frac{\pi}{4}r^4 \] - **Cross-sectional Area (A):** \[ A = \pi r^2 \] - **Modulus of Elasticity (E):** \[ E = 200 \times 10^9 \, \text{Pa} \] - **Density (β):** \[ \beta = 7800 \, \text{kg/m}^3 \] - **Acceleration due to Gravity (g):** \[ g = 9.81 \, \text{m/s}^2 \] - **Radius (r):** \[ r = 0.01 \, \text{m} \] This setting and information enable calculations concerning the buckling behavior under given conditions of material and geometry.
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