3. (30 marks)The bar shown in the figure below is cylindrical in shape. When laying flat on the ground, it has alength of 2m. When supported from a ceiling mount, the bar wil deflect under its own...

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3. (30 marks) The bar shown in the figure below is cylindrical in shape. When laying flat on the ground, it has a length of 2m. When supported from a ceiling mount, the bar wil deflect under its own weight. The bar is made from HDPE with E=10 MPa and a density of 0.95 g/cm?. By breaking the bar into 8 finite elements, each with a free length of 250mm, determine the displacement of the bar tip, and the reaction force at the ceiling support: a. Due to the self weight of the bar only, and b. Ifa 1 kN load is applied centrally at the tip. (Note: Matlab may be used to solve equations, please submit a basic code with your submission. All “process calculations" should be done by hand) © 100mm «> "Flat length" = 2m 4. (20 marks) The bar in the figure below is subject to a quadratically varying axial load. Given AE= 1.8 x 10* kN, determine: a. The theoretical value of the displacement at the end of the bar and the stress at the wall b. Using one finite element, determine the displacement at the end of the bar and the stress at the wall. = 2x2kN/m ~ — ——— — 1 2 L=4m