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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...

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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
ar is made from HDPE with E=10 MPa and a density of 0.95 g/cm?. By
eaking 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
. 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

XXXXXXXXXXmarks)
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
. 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
Answered 1 days After Mar 21, 2023

Solution

Amar Kumar answered on Mar 21 2023
29 Votes
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