Let’s design a skateboard. The board is 30” long (between the wheels) and 12” wide. It will be composed of a core material with two faces that are not necessarily the same thickness or same material. The face materials will a higher strength, higher stiffness material. Core thickness is 0.5”. When loaded by a center weight of 500 lbs (which accounts for a person plus a safety factor), the bending stresses in the face and in the core must be less than their design values. Also the center deflection y must be less than 0.5”. Note that the center deflection y for a center applied load W is given by y= W x L3 / (48 x E x I) here L is total length and W=500 lbs and the product E x I is the composite (EI)
Let’s design a skateboard. The board is 30” long (between the wheels) and 12” wide. It will be composed of a core material with two faces that are not necessarily the same thickness or same material. The face materials will a higher strength, higher stiffness material. Core thickness is 0.5”. When loaded by a center weight of 500 lbs (which accounts for a person plus a safety factor), the bending stresses in the face and in the core must be less than their design values. Also the center deflection y must be less than 0.5”. Note that the center deflection y for a center applied load W is given by
y= W x L3 / (48 x E x I)
here L is total length and W=500 lbs and the product E x I is the composite (EI)
![cross sect
500 Ibs
th(top) –
face
0.5"
core
W=12".
L=30".
th(bot)
Here are the available materials.
Sigma Max Design
(psi)
Modulus
Core Materials
psi
Balsa wood
400000
500
PVC foam
100000
300
Face Materials
Glass epoxy fabric
Glass epoxy uni
Carbon epoxy
2000000
25000
5000000
50000
15000000
100000
Aluminum
12500000
20000
Show all your work. If you have a trial that doesn't work, leave it in. I want to see your
false starts.
Hint: it may be time saving to set up a little spreadsheet in excel and then just iterate on
thicknesses and materials. Great opportunity to learn how to use Excel, if you don't
already know.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c9159da-a431-4a35-8439-34e918757ee3%2F69d56234-8f1c-4fa0-84a3-e7cbb109f95a%2Fid6l7ys_processed.png&w=3840&q=75)
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