The brake pads for a bicycle tire are made of rubber. If a frictional force...

Oberlaudacu

Oberlaudacu

Answered

2022-01-11

The brake pads for a bicycle tire are made of rubber.
If a frictional force of 50 N is applied to each side of the tires, determine the average shear strain in the rubber. Each pad has cross-sectional dimensions of 20 mm and 50 mm.
Gr=0.20MPa

Answer & Explanation

Jenny Sheppard

Jenny Sheppard

Expert

2022-01-12Added 35 answers

The base is 20 mm and 50 mm in size. The strain in the tire must be ascertained.Friction force
Ft=50N
Using the expressed shear stress, we will determine T.
Surface cross-sectional area:
A=5020
=1000mm2
τ=FtA
=501000
τ=0.05MPa
We can also calculate the shear stress in the following way.
τ=γG
Where:
γ- shear strain
τ- shear strain
γ=τG
=0.050.20
γ=0.25rad
The solution is:
γ=0.25rad

Shannon Hodgkinson

Shannon Hodgkinson

Expert

2022-01-13Added 34 answers

Given that Area of cross section (Acs)=50×20
Acs=1000mm2
Forse (F)=50N, G=02MPa
ShearstressPSK(τ)=FAcs=501000=0.05MPa
As we know Shearstra∈=ShearstressShearmodes
γ=τ4
γ=0.050.2=0.25rad

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