C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN: 9781133187844
Author: Bronson, Gary J.
Publisher: Course Technology Ptr
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Use MATLAB please!

=
2. A 4-ply composite laminate with lay-up sequence of [0/-15/+25/+45] is subjected to loads: Nx
Ny =50 kN/m and Ns=25 kN/m. No moments are applied, so Mx, My and Ms are zero. Assume that
each lamina is 2 mm thick. Write a MATLAB code to find the following:
a. Extensional, coupling, and flexural stiffness matrices A, B and D
from equations 4.56 & 4.67)
b. Mid-plane strains and curvatures
c. Strains and stresses at the top surface of the 25° ply
(Hint - start
d. Calculate the percentage of load Nx, Ny, and Ns taken by each ply (take ply stress or load
values at the middle of that ply). Verify your solution by checking if the sums of Nx Ny and
Ns from all plies equal the total applied values.
S
Use the properties for E glass/Epoxy lamina from table A.4, page 377 of the textbook.
Please ignore the v21 value (0.06) provided. If you use the provided v12 and v21 in the
Appendix, it will make the Q matrix non-symmetric. So please calculate v21 using the
provided v12=0.28 and Betti's reciprocal theorem.
For Q2, calculate the safety factors for each ply as per the Tsai Hill criterion. Which ply will break
first according to this analysis?
HINT: Use section 9.5 as a guide for sequence of steps (except in this assignment use Tsai Hill
instead of Tsai Wu)
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Transcribed Image Text:= 2. A 4-ply composite laminate with lay-up sequence of [0/-15/+25/+45] is subjected to loads: Nx Ny =50 kN/m and Ns=25 kN/m. No moments are applied, so Mx, My and Ms are zero. Assume that each lamina is 2 mm thick. Write a MATLAB code to find the following: a. Extensional, coupling, and flexural stiffness matrices A, B and D from equations 4.56 & 4.67) b. Mid-plane strains and curvatures c. Strains and stresses at the top surface of the 25° ply (Hint - start d. Calculate the percentage of load Nx, Ny, and Ns taken by each ply (take ply stress or load values at the middle of that ply). Verify your solution by checking if the sums of Nx Ny and Ns from all plies equal the total applied values. S Use the properties for E glass/Epoxy lamina from table A.4, page 377 of the textbook. Please ignore the v21 value (0.06) provided. If you use the provided v12 and v21 in the Appendix, it will make the Q matrix non-symmetric. So please calculate v21 using the provided v12=0.28 and Betti's reciprocal theorem. For Q2, calculate the safety factors for each ply as per the Tsai Hill criterion. Which ply will break first according to this analysis? HINT: Use section 9.5 as a guide for sequence of steps (except in this assignment use Tsai Hill instead of Tsai Wu)
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C++ for Engineers and Scientists
Computer Science
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Course Technology Ptr