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Lecture notes SWK122 Theme 4 R50,00
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Lecture notes SWK122 Theme 4

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My lecture notes for theme 4 of Statics (SWK122). Could be useful to pay attention in class in stead of having to write down notes during lectures because notes aren't released. Using exclusively these notes along with my notes on the other themes (1-5) that are also available on my profile, I achi...

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  • January 20, 2025
  • 14
  • 2024/2025
  • Class notes
  • J van der merwe
  • All classes
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carinavzyl04


, SWK 122 Statics
Theme 4


Lecture Unit 4.1

Question 1 y
20 mm y
Determine the centroid of the ho-




m
mogeneous flat plate.




m
I



30
x
Part I is a rectangle, Part II a III x
triangle and Part III a semicir- II
cular area.

Partial solution

The centroid and the center of gravity for the plate will coincide with the centroid of the
composite area.

It is common practice to tabulate the calculations according to the separate regions. Complete
the table and use your results to calculate the required center of gravity and centroid.

Part x̃ (mm) ỹ (mm) A (mm2 ) x̃A (mm3 ) ỹA (mm3 )


I
10 15 600 6000 9000

II
30 6.667
10 300 2000 3000

III
12.73 0 1414 18000 0
3
!
4.322 2 593 2314 10000 6000

e
g
The centroid is the point (x, y) =




1

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