?The stress in the member due to bending is defined as equation 1 . Where M is t

Question

?The stress in the member due to bending is defined as equation 1.

Where M is the moment defined by a known load, c is the distance to the surface being tested, and I is the moment of inertia.In a sample like a bone, with a unique cross-section, we must use the integral equations for calculating moment of inertia about an axis (Eq.2-3).

From here, we need to be able to calculate the centroid of the cross-section. The integral form of this is given by Equation 6-7.

Using these equations and the given image, use MATLAB to calculate the total Cross-Sectional Area, Centroid, and Moments of Inertia about the centroid axes. You may assume that the width of a single pixel is 12

Explanation / Answer

% Import the sample data
load count.dat;
% Calculate the mean and the standard deviation
% of each data column in the matrix
mu = mean(count)
sigma = std(count)
The Command Window displays
mu =
32.0000 46.5417 65.5833
sigma =
25.3703 41.4057 68.0281

[n,p] = size(count);
% Create a matrix of mean values by
% replicating the mu vector for n rows
MeanMat = repmat(mu,n,1);
% Create a matrix of standard deviation values by
% replicating the sigma vector for n rows
SigmaMat = repmat(sigma,n,1);
% Create a matrix of zeros and ones, where ones indicate
% the location of outliers
outliers = abs(count - MeanMat) > 3*SigmaMat;
% Calculate the number of outliers in each column
nout = sum(outliers)

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.