(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have been given the following load-displacement plots for the same specimin with two different crack lengths. The lines are identical up to a load od 750N

i need to calculate the area of the blue shaded region to obtain a value of Jc using a separate equation.

2. Relevant equations

Area of triangle = 0.5(b)(h)

Area of rectangle = (b)(h)

3. The attempt at a solution

I found the area of the largest triangle (tip at 1750)

Total Area = (0.5)(0.003)(1750)=2.625

Then split the lower half of the plot into 3 sections labeled 1,2&3. And calculated the areas

Area 1=(0.5)(0.0012)(750)=0.45

Area 2=(0.003-0.0012)(750)=1.35

Area 3=(0.5)(0.003-0.0012)(1740-750)=0.891

So Total Area - Area 1 -Area 2 - Area 3 = the blue shaded region

However i get a negative value,

Blue Shaded region = 2.625-0.45-1.35-0891 = -0.066

Just by looking at the picture, it shouldnt be a negative value, I cant see the problem in my method. Can any1 see what im doing wrong?

Any Help is appreciated

Thanks

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# Homework Help: Area Calculations to find Jc energy Parmeter (simple maths)

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