The engineering constants for an orthotropic material are found to beE₁ = 27 GPaE₂ = 20 GPaE3 = 21 GPa1-121 V12E2 E3V12 = 0.2V23 = 0.4V31 = 0.6G₁2 = 41 GPaG25 = 48 GPGG3: = 1.4 GPaFind the stiffness matrix [C] and the compliance matrix [S] for the preceding orthotropic material.

Calculate the value of ∆. ∆=1-ν122-ν232-ν312-2ν12ν23ν31E1E2E3=1-0.22-0.42-0.62272021=38.8×10-6

The E₁ = 27 GPa engineering constants for an orthotropic material are found to E₂ = 20 GPa E3= 21 GPa V12 = 0.2 V23 = 0.4 V31 = 0.6 G₁2 = 41 GPa G23 = 48 GPa 53:14 GPa Find the stiffness matrix [C] and the compliance matrix [S] for the preceding orthotropic material. 1-221~12 E2E3

The E₁ = 27 GPa engineering constants for an orthotropic material are found to E₂ = 20 GPa E3= 21 GPa V12 = 0.2 V23 = 0.4 V31 = 0.6 G₁2 = 41 GPa G23 = 48 GPa 53:14 GPa Find the stiffness matrix [C] and the compliance matrix [S] for the preceding orthotropic material. 1-221~12 E2E3

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Which of the following materials are characterized by high strength with low density? O Polymers O…

A: Question 2 is incomplete, so I have to solve question 1 only. solution of question 1 is given…

Q: The fatigue data for a ductile cast iron is given in the table below. Stress Amplitude [MPa] 248 236…

A: Since we only answer upto 3 subparts, we will answer the first 3. Please resubmit the question and…

Q: 2. The Goodman diagram relates oa and Om for fatigue failure after a specific number of cycles N₁,…

A: Given: σa=σa01-σmσTSσTS=375Mpaσa=0.45σTS To find: The maximum peak stress if failure in less than…

Q: The materials laboratory that you direct received the following data on the tensile strength in MPa…

A: Given: Sample data of Aluminum Nitride To find: Weibull modulus, m

Q: please work out the stiffness matrix for transversely isotropic elastic solids

A: To find:Stiffness matrix for a transversely isotropic elastic material.Since we are dealing with…

Q: Q: Figure 2 shows a typical mast from a modern racing yacht. It is built in the fo of a thin-walled…

A: Part A) Drive the performance index as follows.

Q: The purpose of this problem is to show the relationship between material constants typically used in…

A: Cijkl = λδijδkl + μ(δikδjl + δilδjk) It is asked to derive E = μ(3λ+2μ)/(λ+μ) from the above…

Q: Chiven Coupling V = 0.290). is 4340-HT Steel (E = 205 [C+Pa], G+ = 80 cpa, 6y = 470 GPa, 6₂ = 7195 ²…

A: Given: The Elastic modulus of the material used, E = 205 GPa The shear modulus of the material used,…

Q: The stress profile shown below is applied to six different biological materials: Log Time (s) The…

A: (a) The expression for the Young's modulus is given as, Young's Modulus=StressStrain=σε As it is…

Q: www k4 -F2 (a)

A: In the figure we can see that there are 4 elements and 5 nodes are in the system The…

Q: Find the maximum weight of the lamp if the cords cannot support more than 20 lbf. Also find 0. 60⁰ A

Q: The two springs (AB) and (AC) are shown, in figure (a) below, in their original unstretched…

Q: For the given stress [100 50 75 130| MPa 130 200] 50 80 75 a) Find the principal stresses and…

A: PRINCIPAL STRESSES Those stresses which are acting on the principal planes. know as Principal…

Q: Find the axial stress (Subscript[\[Sigma], z]) and axial strain (Subscript[\[Epsilon], z]) for a…

A: Axial Stress (σz): Under plane strain condition, the axial stress is often assumed to be uniform…

Q: Calculate the stiffness matrix for the Q8 element shown below. Make use of the shape functions in…

Q: Determine the transformed reduced stiffness matrix for a unidirectional ply oriented at 45 degrees…

A: The reduced stiffness matrix is The angle of orientation is

Q: Rigid bar ABC is supported by two identical solid bronze [oy = 331 MPa; E = 105 GPa; a = 22.0 x…

Q: We can make an energy dense capacitor by stacking layers of conductors separated with a dielectric,…

A: The solution is provided below.

Q: Calculate the stiffness matrix for the Q8 element shown below. Make use of the shape functions in…

Q: Damian’s car weighs 2000kg. The spring has a natural unstretched length of 2m and a spring constant…

A: Given: To find: extension of spring

Q: A machine component is subjected to the forces and couples shown. The component is to be held in…

A: Given data: Load acting on point C is: x1=80 N Load acting on point D is: x2=120 N Load acting on…

Q: Question 2 Study the table below and answer the questions that follow. Material Coercivity (kA/m) BH…

Q: Q 3(a) smooth pulley. When a weight of W = 200 N is attached to the string as A block of weight 800N…

A: Given Data Weight of the block, 800N The weight attached to the strings, 200N Let us draw the free…

Q: In a mechanical lab, a tensile test was performed on a rod of alloy having an original diameter 22…

Q: Rigid bar ABC is supported by two identical solid bronze [oy=331 MPa; E = 105 GPa; a = 22.0 x…

Q: element of material is shown. Let |o₂| = 320 MPa, |o₂| = 120 MPa, and |zy| = 75.0 MPa. Use this…

A: Givenσx=320MPaσy=-120MPaτxy=75MPaθ=25o

Q: Choose the mass M in the figure with a value that does not end with zero from 302 to 497 kg. Find…

Q: A wall for a tunnel consists of a 4 layers of different materials as shown in Figure Q1(b). The…

Q: 3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace…

Q: The differential equation for small-amplitude vibrations y(x, t) of a simple beam is given by = 0…

A: The beam material density is ρ. The cross-sectional area is A. The area moment of inertia is I.…

Q: A circular column is made of concrete [E. = 4.2(10³)ksi] while being reinforced with six steel rods…

A: I have attached my answer below, please refer and give me +ve rating, Thanks!

Q: 1000 4. Modulus-Strength Metals and Polymers: Yield Strength Ceramics and Glasses: Compressive…

A: Given DataM=σ2E>100MPa2/GPaE>100GPa

Q: Solar flux = 900 [w/m^2] h_air from glass cover = 25 [w/m^2-k] Emissivity_glass = 0.88 (nearly…

Q: A uniaxial system is modelled using 10 bar elements. If each element is composed of two 1D nodes,…

A: Find the size of stiffness matrix

Q: B A Eat Ice Cream h y X W UBC Engineering An advertisement can be modelled as a thin plate with…

A: is angular acceleration .To solve this problem we can use principles of static and…

Q: The wedge shaped bar shown in Figure Q1 is to be analysed using a single one dimensional quadratic…

A: Given data: a) Calculate the strain shape function matrix. [B], for the element.b) Using the strain…

Q: 1. For your science fair project, you decided to design a model rocket ship. The fuel burns exerting…

A: As per expert guidelines we are supposed to answer only the first three parts of the given multipart…

Q: 2.4 A rope is wrapped several times around thė hõisting drum of a ship's winch, which rotates…

Q: (Q-4) Balance the meter stick with two weights and a rock. 0 cm 100 cm Jrock 100g position (cm)…

A: Question 4: In general, let us assume that the lever is placed is at the center of gravity of the…

Q: A vehicle moving horizontally gets a load of wind resistance acting in the opposite direction to the…

Q: The stress concentration factor at shoulder fillet B. The maximum stress in the shaft taking into…

Q: II. A circular column is made of concrete [E. 4.2(103)ksi] while being reinforced with six steel…

A: Given Data: The modulus of elasticity of concrete is, Ec=4.2×103 ksi. The modulus of elasticity of…

Concept explainers

Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.

Question

The engineering constants for an orthotropic material are found to be
E₁ = 27 GPa
E₂ = 20 GPa
E3 = 21 GPa
1-121 V12
E2 E3
V12 = 0.2
V23 = 0.4
V31 = 0.6
G₁2 = 41 GPa
G25 = 48 GPG
G3: = 1.4 GPa
Find the stiffness matrix [C] and the compliance matrix [S] for the preceding orthotropic material.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A sphere contracts in volume by 0.01% when taken to the bottom of sea 1km deep. Find the bulk modulus of the material of the sphere. Density of sea water may be taken as 1000 kg m^-3. [9.8x10^10 N/m^2]
60 mm F 10000 N.mm 80 mm A y 600 N D C 45 min E 90 mm 120 mm 300 N A: a collar that can slide along and rotate about the y axis 10000 N.mm: a couple moment about the negative x axis 300 N: a force along the positive x axis 600 N: a force along the negative y axis CF: a cable DE: a cable Questions: 1. 2. What is the reaction at A? What is the tension in each cable?
Site: ENGG251 (S122) Mechanics moodle.uowplatform.edu.au/mod/quiz/secured.php#lockdown S PowerPoint Presentation Slide 1 S M Gmail Final exam (Remotely Procto Question 1.1 1 d A steel rod, shown in Figure Q1.1, is subjected to a uniform tension force P. Which one of the following statements is correct? Note: d is the rod diameter, v is the Poisson's ratio and E is the modulus of elasticity. Figure Ql.1 O a. 4P The elongation is given by Επd2 O b. The diameter increases. 4P O C. Επd2 The lateral strain in the y-direction is given by Od. There is no strain in the y-direction Question 1.2 A material has a modulus of elasticity E Proctorio is sharing your out of Jestion 8= e' = -v Quiz Too
You are working in a biology lab during your summer break. Your supervisor asks you to perform an experiment to find the effective spring constant (in N/m) of a partial molecule of DNA (deoxyribonucleic acid). You perform experiments and find that a single straight portion of a DNA molecule is 2.19 μm long. You then perform an activity that charges the ends of the molecule; each end becomes singly ionized: negative on one end, positive on the other. After the ends are charged, the molecule shrinks by 1.31% of its length. 1.21e-9
a) Determine the elements of the stiffness matrix [Q] for a lamina made from T300 carbon fiber/epoxy matrix. The lamina has the following properties, E1=133.44GPa, E2=8.78 GPa, v12=0.26, G12=91.7 GPa. b) Calculate the transformed stiffness matrix [Q] when the ply is oriented at 45 degrees.
Find the values of FCD, NA, and Ng. 2.5 kN C CD D 3 m A 60° 4kN m 4 kNm 45° NA 4m 6m Ng FCD = 501N, NA = 1059N, Ng = 1416N %3D %3D
A single degree-of-freedom linear elastic structure was subjected to a series of harmonic excitations, one at a time. The excitations had the same forcing magnitude but different forcing frequency. Forcing frequencies and observed peak steady-state displacements are shown in the graph below. Find the natural period and damping ratio of the structure. Displacement (mm) 60 50 40 30 20 10 0 0 1 2 . 3 4 Forcing frequency, f [Hz] 5 4. 6 7
Suppose that the assembled stiffness matrix of question 1 (as shown below) is as follows: [K]=108×a-a0-aa+b-b0-bb where a=4.06 N/m and b=2.28 N/m. If the applied force at node 3 is P=210 KN, find the displacement of node 2 in mm?
BME 101 Introduction to Blomedical Engineering Final s)A massless bar AC is supported by a pin joint at A and cable CD. Mass m is suspended from bår AC at point B, as shown. Given m-50kg and the following dimensions: AB = 1m, BC 3m, angle ACD 30 degrees a. Draw a free body diagram for bar ABC. b. Find the tension in cable CD. D.