- #1
Kieran12
- 6
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Homework Statement
Estimate the value for Youngs Modulus from the two following graphs:
Graph 1: Plot a graph of depression in metres (D) against load in kilograms (M)
Graph 2: Plot a graph of log_10(D) against log_10 of Length of cantilever.
Homework Equations
[/B]
D = 4*L^3*m*g / Y*a*b^3
Where
D = depression
L = length of cantilever
m = mass of load on free end of cantilever
a = width of cantilever
b = thickness of cantilever
Equation for Graph 1: y = 0.9843x + 0.001, where y = depression and x = load
Equation for Graph 2: log(y) = 2.5074 * log(x) + 0.2922, where y = depression and x = length of cantilever
The Attempt at a Solution
I've attempted to get Y by re-arranging the straight line equation for Y.
So:
Y = 4*L^3*m*g / D*a*b^3
But this gives me 1.067*10^11. Which is quite a way off Youngs Modulus for steel.