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For the given Q matrix, calculate the A, B, and D matrices for the following cases....
Macromechanics 215 N, 1000 N/m; all remaining components are equal to zero b) Mry 1 Nm/m; all rem...
I need help with question 6.18
Macromechanics 215 N, 1000 N/m; all remaining components are equal to zero b) Mry 1 Nm/m; all remaining components are equal to sero ) Comment on the coupling efects obsereed 6.12 Compute the strains ( (y, and ry at the interface between the 459 and laminae above the middle surface by using the results of case (b) of Ezercise 6.11 and -45 /a.e3 6.23). cise 6.13 Compute the stresses ơz and σ1 in the...
Q4. (a) Calculate the ply reduced stiffness matrix, [Q], for a specially orthotropic ply having the...
Q4. (a) Calculate the ply reduced stiffness matrix, [Q], for a specially orthotropic ply having the following properties: E = 240 E2 = 12 GPa GPa G12 = 6 GPa V12 = 0.3 [13 marks) (b) Calculate the ply reduced compliance matrix, [S], for a specially orthotropic ply having the following properties: E1 = 69.7 GPa E2 = 59.7 GPa G12 = 7.5 GPa V 12 = 0.3 [12 marks]
Problem 6.18 given below Repeat problem 6.18 for E-glass/epoxy laminate. Assume that both plies are equal...
Problem 6.18 given below
Repeat problem 6.18 for E-glass/epoxy laminate. Assume that both plies are equal in thickness (each layer equal to 't' mm) and have the following properties: EL-38.6 GPa, ET-8.27 GPa ULT-026, GLT=4.14GPa 6.18. A (090] asymmetric laminate of material AS/3501 graphite-epory cured at 125°C. Assume that both plies are equal in thickness and hue the following properties: EL 138.0 GPa VLr 0.30 4,--0.30 10-6/°C ET 8.96 GPa GiT 7.10 GPa 67 : 28.1 0 x10-6/C Calculate the...
#9. Which of the following is not necessarily a valid factorization of the given matrix M?...
#9. Which of the following is not necessarily a valid factorization of the given matrix M? (A) if M is any square matrix, then M = QR, where Q and R are both orthogonal matrices (B) if M has linearly independent columns, then M = QR where Q has orthonormal columns and R is an invertible upper triangular matrix (C) if M is a real symmetric matrix, then M = QDQT for some orthogonal matrix Q and diagonal matrix D...
Algebra of matrices. 3. (a) If A is a square matrix, what does it mean to say that B is an inverse of A (b) Define AT....
Algebra of matrices. 3. (a) If A is a square matrix, what does it mean to say that B is an inverse of A (b) Define AT. Give a proof that if A has an inverse, then so does AT. (c) Let A be a 3 x 3 matrix that can be transformed into the identity matrix by perform ing the following three row operations in the given order: R2 x 3, Ri R3, R3+2R1 (i) Write down the elementary...
16.-1 points poolelinalg4 5.4.006.nva My Notes Ask Your Teache Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D separated list.)...
16.-1 points poolelinalg4 5.4.006.nva My Notes Ask Your Teache Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D separated list.) Enter each matrix in the form row 1 row 2 where each row is a comma- 3 3 0 0 4 3 Need Help? 17. 1 points poolelinalg4 5.4.009 nva My Notes Ask Your Teacher Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and...
For each of the following matrices determine whether the matrix is in REF, in RREF or in neither RREF nor REF 0 2 -1 34...
For each of the following matrices determine whether the matrix is in REF, in RREF or in neither RREF nor REF 0 2 -1 34 010 3 0 B- 00 2-5 0 A-0 0 0 0 0 000 0 1 0 0 0 2 1 0 1 0-4 0 D=100 C-1001 000 0 1 14-17 0 0-2 6 3 00 0 1 4 00 0 0 -3 0 0 1 G- 10 H=1000 0 0 1 J-0 0 1 A...
MATLAB HELP!!! Recall that if A is an m × n matrix and B is a p × q matrix, then the product C = AB is defined if and on...
MATLAB HELP!!! Recall that if A is an m × n matrix and B is a p
× q matrix, then the product C = AB is defined if and only if n =
p, in which case C is an m × q matrix.
5. Recall that if A is an mx n matrix and B is a px q matrix, then the product C-AB is defined if and only if n = p, in which case C is...
1. On Inverting Matrices, using Gauss-Jordan (a) Consider the following matrix A. If the inverse of...
1. On Inverting Matrices, using Gauss-Jordan (a) Consider the following matrix A. If the inverse of A exists, com- pute A-1, else say so. A 1 3 INVERSE OF MATRICES 15 (b) Consider the following matrix A. If the inverse of A exists, com- pute A-1, else say so. A-(3) 0 1 (c) Consider the following matrix A. If the inverse of A exists, com- pute A1, else say so. 0 2 (d) Consider the following matrix A. If the...
1. Each of the following matrices is in reduced row echelon form. Write the solution for...
1. Each of the following matrices is in reduced row echelon form. Write the solution for each. (1000 a. o 100 Loo 011 oo 581 b. 010- 32 Lool 61-7 (1 20 4 097 c. 0 0 1 -3 0 12 Loooo 115 2. State whether or not each matrix is in reduced echelon form. If a matrix is not in reduced echelon form, explain why it is not. a [1 0 0 0 87 0 1 2 0 2...
I need help with question 6.18
Macromechanics 215 N, 1000 N/m; all remaining components are equal to zero b) Mry 1 Nm/m; all remaining components are equal to sero ) Comment on the coupling efects obsereed 6.12 Compute the strains ( (y, and ry at the interface between the 459 and laminae above the middle surface by using the results of case (b) of Ezercise 6.11 and -45 /a.e3 6.23). cise 6.13 Compute the stresses ơz and σ1 in the...
Q4. (a) Calculate the ply reduced stiffness matrix, [Q], for a specially orthotropic ply having the following properties: E = 240 E2 = 12 GPa GPa G12 = 6 GPa V12 = 0.3 [13 marks) (b) Calculate the ply reduced compliance matrix, [S], for a specially orthotropic ply having the following properties: E1 = 69.7 GPa E2 = 59.7 GPa G12 = 7.5 GPa V 12 = 0.3 [12 marks]
Problem 6.18 given below
Repeat problem 6.18 for E-glass/epoxy laminate. Assume that both plies are equal in thickness (each layer equal to 't' mm) and have the following properties: EL-38.6 GPa, ET-8.27 GPa ULT-026, GLT=4.14GPa 6.18. A (090] asymmetric laminate of material AS/3501 graphite-epory cured at 125°C. Assume that both plies are equal in thickness and hue the following properties: EL 138.0 GPa VLr 0.30 4,--0.30 10-6/°C ET 8.96 GPa GiT 7.10 GPa 67 : 28.1 0 x10-6/C Calculate the...
#9. Which of the following is not necessarily a valid factorization of the given matrix M? (A) if M is any square matrix, then M = QR, where Q and R are both orthogonal matrices (B) if M has linearly independent columns, then M = QR where Q has orthonormal columns and R is an invertible upper triangular matrix (C) if M is a real symmetric matrix, then M = QDQT for some orthogonal matrix Q and diagonal matrix D...
Algebra of matrices. 3. (a) If A is a square matrix, what does it mean to say that B is an inverse of A (b) Define AT. Give a proof that if A has an inverse, then so does AT. (c) Let A be a 3 x 3 matrix that can be transformed into the identity matrix by perform ing the following three row operations in the given order: R2 x 3, Ri R3, R3+2R1 (i) Write down the elementary...
16.-1 points poolelinalg4 5.4.006.nva My Notes Ask Your Teache Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and a diagonal matrix D such that QT AQ = D separated list.) Enter each matrix in the form row 1 row 2 where each row is a comma- 3 3 0 0 4 3 Need Help? 17. 1 points poolelinalg4 5.4.009 nva My Notes Ask Your Teacher Orthogonally diagonalize the matrix below by finding an orthogonal matrix Q and...
For each of the following matrices determine whether the matrix is in REF, in RREF or in neither RREF nor REF 0 2 -1 34 010 3 0 B- 00 2-5 0 A-0 0 0 0 0 000 0 1 0 0 0 2 1 0 1 0-4 0 D=100 C-1001 000 0 1 14-17 0 0-2 6 3 00 0 1 4 00 0 0 -3 0 0 1 G- 10 H=1000 0 0 1 J-0 0 1 A...
MATLAB HELP!!! Recall that if A is an m × n matrix and B is a p
× q matrix, then the product C = AB is defined if and only if n =
p, in which case C is an m × q matrix.
5. Recall that if A is an mx n matrix and B is a px q matrix, then the product C-AB is defined if and only if n = p, in which case C is...
1. On Inverting Matrices, using Gauss-Jordan (a) Consider the following matrix A. If the inverse of A exists, com- pute A-1, else say so. A 1 3 INVERSE OF MATRICES 15 (b) Consider the following matrix A. If the inverse of A exists, com- pute A-1, else say so. A-(3) 0 1 (c) Consider the following matrix A. If the inverse of A exists, com- pute A1, else say so. 0 2 (d) Consider the following matrix A. If the...
1. Each of the following matrices is in reduced row echelon form. Write the solution for each. (1000 a. o 100 Loo 011 oo 581 b. 010- 32 Lool 61-7 (1 20 4 097 c. 0 0 1 -3 0 12 Loooo 115 2. State whether or not each matrix is in reduced echelon form. If a matrix is not in reduced echelon form, explain why it is not. a [1 0 0 0 87 0 1 2 0 2...
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