(Solved):
The open section semi-circle beam stiffened by n number of stiffeners given b ...
The open section semi-circle beam stiffened by n number of stiffeners given below is subjected to an external transverse load of F=40kN passing through the shear center of the beam. If the allowable normal stress on the beam is 65MPa, determine; a) minimum number (n) of equidistantly placed identical stiffeners on the semi-circle b) shear flows on the webs Write a MATLAB code that can compute the maximum normal stress for arbitrary number of stiffeners. Diameter of the circle, D=1m Area of a stiffener, As=3cm2 Length of the beam, L=2.5m Include your MATLAB code in your submission. Note: Number of stiffeners on the figure is representative.
Determine the minimum number (n) of equidistantly placed identical stiffeners on the semi-circle:Given the diameter of the circle ( ) and the area of each stiffener ( ), we can calculate the spacing between the stiffeners as .To satisfy the requirement of identical stiffeners, we need to ensure that the spacing (s) is equal to or smaller than the width of each stiffener.So, we can calculate n as .Plugging in the values, (approx).Therefore, the minimum number of equidistantly placed identical stiffeners on the semi-circle is .