Show that an orthotropic material whose principal stiffnesses satisfy the following relations is isotropic: Q11 =...
Show that an orthotropic material whose principal stiffnesses satisfy the following relations is isotropic:
Q11 = Q22 and Q66 = (1/2)(Q11 - Q12)
(In other words, show that Qxx, Qxy, and Qss are independent of orientation, and that Qxs = Qys = 0)
Homework Answers
The solution for this is as attached:
page1:
page 2:
page 3:
page 4:
hoping that you understood the proof.
help me in giving a good review which will motivate me to work further
thanking you.
Add Answer to:
Show that an orthotropic material whose principal stiffnesses
satisfy the following relations is isotropic:
Q11 =...
1. For an isotropic material, E and v are often chosen as the two independent engineering...
1. For an isotropic material, E and v are often chosen as the two independent engineering constants. There are other elastic constants that we have introduced in Lecture 5: the shear modulus G, the bulk modulus K, and the Lames, constants, μ and λ·Suppose that Prove that μ and λ, and K, satisfy the following relations: 2vG 2 3(1- 2v) To prove it, apply pure shear stress t, and connect it to pure shear strain γ by G, ie. τ_Gy....
6) Show that, for the fixed effects ANOVA, we have the following relations: E(MS_E )=?^2 (We...
6) Show that, for the fixed effects ANOVA, we have the following relations: E(MS_E )=?^2 (We did this in class) E(MS_T )=?^2+(n ?_(i=1)^a ?_i^2)/(a-1) Recall the model is y_ij=?+?_i+ ?_ij where i=1,2…a. “a” is the number of treatments, j=1,2 …n . ?_ij~ N(0,?^2 ).
Consider the following relational database to manage concert and ticket sales. The relations are artist, concert,...
Consider the following relational database to manage concert and ticket sales. The relations are artist, concert, venue, seat, ticket, and fan. The schemas for these relations (with primary key attributes underlined) are: Artist-schema = (artistname, type, salary) Concert-schema = (artistname, date, venuename, artistfees) Venue-schema = (venuename, address, seating_capacity) Seat-schema=(venuename, row, seatnumber) Ticket-schema = (fanID, date, venuename, row, seatnumber) Fan-schema = (fanID, name, address, creditcardno) Where: • artistname is a unique name for the artist (because of trademark/copyright rules no two...
Please show detailed mechanism or explain in words. DQ25.11 Homework Draw the starting material: . SOCI,...
Please show detailed mechanism or explain in words.
DQ25.11 Homework Draw the starting material: . SOCI, DMF 2. (CH,CH),CuLi, THF Ph 3. H,O Hint: Note that organocuprates only add once to acyl chlorides. DQ25.12 Homework Draw the product of the following reactions: 0 O HN CH CI NaBH (1 equiv.) EtOH Hint: Think about the reactivity of the carboxylic acid derivatives. DQ25.13 Homework Draw the product of the following reaction. CH,NO cc, tBuOK, DMSO CCI Hint: The first step in...
This assignment assesses the material covered in Modules 6-10. Write full and complete so- lutions, using...
This assignment assesses the material covered in Modules 6-10. Write full and complete so- lutions, using full sentences where appropriate. Explain all row operations when computing an RREF. Answer the questions asked. Questions 1-5 are worth 20 points each. The bonus question is worth 10 points (but points on this assignment are capped at 100). Recommended Deadline: April 24th Final Deadline: May 1st. 1. Compute the inverse of the matrix A = 1 3 1 4 -1 1 2 0...
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other...
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
Consider the following second order linear operator: 82 with Notice, that if instead of 3 we had 2 there, we would get a Legendre operator (whose eigenfunctions are Legendre polynomials). But no...
Consider the following second order linear operator: 82 with Notice, that if instead of 3 we had 2 there, we would get a Legendre operator (whose eigenfunctions are Legendre polynomials). But nothing can be further from it than the operator above. The eigenvalue/eigenfunction problem, emerged in the analysis of vibrations of a particular quant urn liquid. An eigenvalue λ corresponds to an excitation mode of frequency Ω = V The eigenfunction ψ(r) would give a spatial profile of the deviation...
Help with the following Linear Algebra questions as many as possible: Name There are 10 questions...
Help with the following Linear Algebra
questions as many as possible:
Name There are 10 questions worth 10 points each. Feel free to discuss these exercises with your classmates but please write each solution in your own words. Please include all the details necessary to explain your work to someone who is not necessarily enrolled in the course. 1) Show that there is no matrix with real entries A, such that APEX 11 a 001 2) Find the inverse of...
3.7 Underdamped free vibrations (e.g. a vibrating beam or slinky in damp air A system whose...
3.7 Underdamped free vibrations (e.g. a vibrating beam or slinky in damp air A system whose response is governed by the following constant-coefficient, is performing underdamped free vibrations if oc 1 (underdamped ). (Seetion 6.7). linear, 2td order, ODE ) and 1t)- (freei (a) After assuming a solution t)et where C and p are conustants, show every step that proves yit) can be expressed in terms of the yet-to-be-determined constants A and B and he constant wa (defined above) called...
SHOW ALL WORK ANSWER ALL PARTS Suppose that a random variable X has the following pdf....
SHOW ALL WORK ANSWER ALL
PARTS
Suppose that a random variable X has the following pdf. 2(1-2) 0.5 SX < 1 0 otherwise where p is simply a constant that has yet to be specified (in other words, p isa parameter). For now, we will leave the parameter p an unspecified constant Find P(X>08) Note: your answer will be an expression containing p. Suppose that k>0 is also a constant (not yet specified). Find the expected value of the random...
1. For an isotropic material, E and v are often chosen as the two independent engineering constants. There are other elastic constants that we have introduced in Lecture 5: the shear modulus G, the bulk modulus K, and the Lames, constants, μ and λ·Suppose that Prove that μ and λ, and K, satisfy the following relations: 2vG 2 3(1- 2v) To prove it, apply pure shear stress t, and connect it to pure shear strain γ by G, ie. τ_Gy....
Please show detailed mechanism or explain in words.
DQ25.11 Homework Draw the starting material: . SOCI, DMF 2. (CH,CH),CuLi, THF Ph 3. H,O Hint: Note that organocuprates only add once to acyl chlorides. DQ25.12 Homework Draw the product of the following reactions: 0 O HN CH CI NaBH (1 equiv.) EtOH Hint: Think about the reactivity of the carboxylic acid derivatives. DQ25.13 Homework Draw the product of the following reaction. CH,NO cc, tBuOK, DMSO CCI Hint: The first step in...
This assignment assesses the material covered in Modules 6-10. Write full and complete so- lutions, using full sentences where appropriate. Explain all row operations when computing an RREF. Answer the questions asked. Questions 1-5 are worth 20 points each. The bonus question is worth 10 points (but points on this assignment are capped at 100). Recommended Deadline: April 24th Final Deadline: May 1st. 1. Compute the inverse of the matrix A = 1 3 1 4 -1 1 2 0...
need solution and code for this signal and system
problem
1) Linearity: In order for a system to be linear it must satisfy the following equation: In other words, the response of a linear system to an input that is a linear combination of two signals is the linear combination of the responses of the system to each one of these signals. Let xi)- u(t) -u(t-1) and x2t) u- u(t-2) be input signals to the systems described by the i/o...
Consider the following second order linear operator: 82 with Notice, that if instead of 3 we had 2 there, we would get a Legendre operator (whose eigenfunctions are Legendre polynomials). But nothing can be further from it than the operator above. The eigenvalue/eigenfunction problem, emerged in the analysis of vibrations of a particular quant urn liquid. An eigenvalue λ corresponds to an excitation mode of frequency Ω = V The eigenfunction ψ(r) would give a spatial profile of the deviation...
Help with the following Linear Algebra
questions as many as possible:
Name There are 10 questions worth 10 points each. Feel free to discuss these exercises with your classmates but please write each solution in your own words. Please include all the details necessary to explain your work to someone who is not necessarily enrolled in the course. 1) Show that there is no matrix with real entries A, such that APEX 11 a 001 2) Find the inverse of...
3.7 Underdamped free vibrations (e.g. a vibrating beam or slinky in damp air A system whose response is governed by the following constant-coefficient, is performing underdamped free vibrations if oc 1 (underdamped ). (Seetion 6.7). linear, 2td order, ODE ) and 1t)- (freei (a) After assuming a solution t)et where C and p are conustants, show every step that proves yit) can be expressed in terms of the yet-to-be-determined constants A and B and he constant wa (defined above) called...
SHOW ALL WORK ANSWER ALL
PARTS
Suppose that a random variable X has the following pdf. 2(1-2) 0.5 SX < 1 0 otherwise where p is simply a constant that has yet to be specified (in other words, p isa parameter). For now, we will leave the parameter p an unspecified constant Find P(X>08) Note: your answer will be an expression containing p. Suppose that k>0 is also a constant (not yet specified). Find the expected value of the random...
Most questions answered within 3 hours.
-
Bargaining Models: what is the "Obsolescing Bargain"?
Bargaining Models: what are the factors that would tend...
asked 14 minutes ago -
1. A ball is thrown up into the air.
a) Draw motion diagram and the point-like...
asked 21 minutes ago -
1) Because money eliminates the "double coincidence of wants"
problem, the development of money as a...
asked 52 minutes ago -
Company AAA produces only one product which other manufacturers
purchase as a component for their final...
asked 3 hours ago -
An
item can be appended to an array-based list, provided the lenght is
less than the...
asked 3 hours ago -
Two particles each have a rest mass energy of 30 MeV and are
traveling with a...
asked 5 hours ago -
why
is vectorization a faster alternative to loops?
asked 6 hours ago -
General Matter’s outstanding bond issue has a coupon rate of
11.8%, and it sells at a...
asked 6 hours ago -
Write a one page essay on how important is it to know your basic
accounting knowledge...
asked 6 hours ago -
You are a Senior Civil Engineer posted at the Contracts and
Procurement Division of the Ministry...
asked 6 hours ago -
When using the percentage of completion method, the
company
- recognizes revenues and gross profit each...
asked 6 hours ago -
Is a level production strategy suitable for a pure service
industry, such as professional accounting and...
asked 6 hours ago