Consider a 40 % V¢ SiC whisker-reinforced aluminum composite. Ef = 400GPa, Em= 70 GPa, and (l/d) = 20. Compute the longitudinal elastic mod-%3Dulus of this composite if all the whiskers are aligned in the longitudinaldirection. Use Halpin-Tsai-Kardos equations. Take = 2(1ld).

Solution: Given Data: Ef=400 GPaEm=70 GPal/d=20vf=0.40

Consider a 40 % Vf SiC whisker-reinforced aluminum composite. Ef = 40 ЭРа, Еm ulus of this composite if all the whiskers are aligned in the longitudina direction. Use Halpin-Tsai-Kardos equations. Take č = 2(1lld). 70 GPa, and (I/ld) = 20. Compute the longitudinal elastic moc

Consider a 40 % Vf SiC whisker-reinforced aluminum composite. Ef = 40 ЭРа, Еm ulus of this composite if all the whiskers are aligned in the longitudina direction. Use Halpin-Tsai-Kardos equations. Take č = 2(1lld). 70 GPa, and (I/ld) = 20. Compute the longitudinal elastic moc

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.13P

See similar textbooks

Related questions

Q: The first parts of the stress-strain relationships of the components of a randomly oriented…

A: Given:- The first parts of the stress-strain relationships are given for a randomly oriented…

Q: A composite beam made of steel and bronze has the cross section shown. The cross-sectional…

A: To find magnitude to bending moment

Q: The composite bar shown is fırmly attached to unyielding supports. An axial load P = 391 kN is…

Q: The composite bar is stress-free before the axial loads P1 and P2 are applied. Assuming that the…

A: step1-

Q: Q1/ Acolumn of rainforced concrete has steel reinforcing rods running through its entire length and…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: A circular FRP composite rod with continuous and aligned fibers has a3 in. diameter. The rod is…

A: Given: Diameter of the FRP composite rod is D=3 in. The span of the rod which is simply supported is…

Q: Problem #1: N n у-аxis 200+Y (mm) 250 mm Y (mm) U 125 mm 60 mm 125 mm х-ахis 1. Determine the total…

Q: For the composite bar indicated, determine the permissible bending moment when the bar is bent about…

Q: Q) A composite have longitudinal modulus of elasticity is equal to (131 GPa.) reinforced with 40 %…

Q: Brass Problem 3: A composite bar is made by attaching a copper rod of length 900 mm and diameter 30…

Q: A continuous and aligned fiber-reinforced composite is to be produced consisting of 37 vol% aramid…

A: Given:-

Q: The composite bar is stress-free before the axial loads P, and P2 are applied. Assuming that the…

Q: 5 kg continuous boron fibers are introduced in a unidirectional orientation into 8kg aluminum…

Q: Determine the moment of inertia ol composite area about the y axis.

Q: Determine the moment of inertia of the composite area about the y-axis. Set a = 660 mm, b = 220 mm,…

Q: A representative reinforced concrete composite beam section is shown in the figure below. The number…

A: Given data: EC=28000MpaES = 200000Mpab= 400mmh= 700mmd= 700-50=650mmMapplied = 59kNmAs = 6ϕ16

Q: 5. Find the longitudinal and transverse elastic modulus of a unidirectional glass/epoxy lamina with…

A: Given data-

Q: A cantilevered beam of length L is subjected to axial and transverse loads. Figure 5.34 depiets the…

A: Axial force: The force exerted on a body in its transverse direction. It is a pulling factor that…

Q: Q: For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the…

A: Consider the equation for transverse and longitudinal modulus Substituting the value

Q: A fiber-reinforced polymer composite under isostrain condition consists of 35%fibers and 65% polymer…

A: To solve this question the following values are given- Given: Fiber-reinforced polymer fiber= 45%…

Q: 4. The composite bar is initially stress-free. Calculate the stress in each material and indicate…

Q: A circular FRP composite rod with continuous and aligned fibers has a75 mm diameter. The rod is…

A: A circular FRP composite rod Diameter of rod, D=75 mm Span of rod, L=1.2 m=1200 mm Central point…

Q: Problem #5 y-axis 100+ Y (mm) Y mm x-axis 250 + A (mm) 25. Determine the centroidal moment of…

Q: A composite beam made of steel and bronze has the cross section shown. The cross-sectional…

Q: Q2: A composite component consists of a glass fiber and an epoxy matrix. The glass fiber weight…

Q: Problem #4: Note: numb у-ахis Use 100 + Y (mm) 90 mm 60 mm х-аxis 250 + A (mm) 14. Determine the…

Q: For the given composite geometry estimate the moment of inertia about centroidal axis parallel and…

A: Consider the figure,

Q: A composite beam made of steel and bronze has the cross section shown. The cross-sectional…

A: Since the section has horizontal symmetryMallowable=MR1+MR2

Q: Obtain the centroid for the given composite system. Take r=24 cm.

A: Consider the figure,

Q: Compute the expected properties of ultimate strength (Suc) of a composite made from S-glass fibers…

A: Tensile strength of S-glass fibers, σf=600 ksi=600×103 psi Tensile strength of Epoxy matrix, σm=18…

Q: 2. Obtain the moment of inertia of the composite area about the specified x and y axes.

A: Moment of inertia of rectangular area when axis passing through baseI=bh33Moment of inertia of…

Q: For a single lamina unidirectional composite, the on-axis elastic behavior is given by: • E1 = 140…

Q: A FRP composite includes 47% continuous and aligned Aramid fibers by volume. The moduli of…

A: Given data Volume of fibers is 47% Modulus of elasticity of Aramid fibers is 19x106 Psi Modulus of…

Q: For the composite areas shown below, calculate the moment of inertia about axis X-X and Y-Y. Note…

Q: For the composite bar indicated, determine the permissible bending moment when the bar is bent about…

A: When the beam is subjected to bending, the outer layers will get stressed either in tension or in…

Q: a) What are the moment of inertia about x and y axes of the composite section? b) Determine the…

A: Given Data: Area of channel section=3790 mm2 Ix1=25.3 *106 mm4 As the sections are symmetrical…

Q: meter of 20mm. The corresponding modulus of elasticity are Ea = 210 GPa, El = 100 GPa and Ec = 120…

A: Given:- P=12 kNDiamter of steel core=10 mmDiameter of brass shell=15 mmDiameter of copper shell=20…

Q: The composite bar shown is fixed at the ends and is subjected to the axial load P shown. If the…

Q: Determine, using the method of composite areas, the total second moments of area of of the composite…

A: Second moment of inertia: The second moment of inertia is also known as the Moment of inertia. It is…

Q: 3.9. An axial load P = 385 kN is applied to the composite block shown in Fig. P3.9. Determine the…

Q: 180 mm Y (mm) 50 + B (mm) х-ахis 250 mm Determine the total area of the composite figure. (mm^2)…

Q: 60 mm X-axis 250 + A (mm) Determine the total area of the composite figure. (mm^2) Determine the…

Q: `y-axis Figure 2 Note: Each square indicates 1 square unit |(0,0) х-аxis

A: Solution Consider the following The J-section comprises of squares & each square indicates 1…

Q: The advantage in using plywood is that the (a) tensile strength is equal in all directions (b)…

A: Advantage of plywood : Greater resistance to water attack Tensile strength is equal in all…

Q: 2. Obtain the moment of inertia of the composite area about the specified x and y axes. 75 mm 75mm…

A: Solution-

Question

100%

Consider a 40 % V¢ SiC whisker-reinforced aluminum composite. Ef = 400
GPa, Em
= 70 GPa, and (l/d) = 20. Compute the longitudinal elastic mod-
%3D
ulus of this composite if all the whiskers are aligned in the longitudinal
direction. Use Halpin-Tsai-Kardos equations. Take = 2(1ld).

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Answer

VIEW

Step 2:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

In Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a 1.27-cm diameter from 70 volume percent continuous carbon fibers and 30 volume percent epoxy. The rod is subject to an axial force of 100,000 N. The composite matcrial in Example Problem 12.1 is to be replaced with a less expensive composite made of 70 volume percent continuous E-glass fibers and 30 volume percent epoxy. The elastic moduli are 5 GPa for the epoxy resin and 72.4 GPa fos the E-glass. (a) Compare the elastic modulus, composite strain, fiber and matrix stresses, and density of this composite with the carbon epoxy composite in Example Problem 12.1. Usc the density of UHM carbon, and assume the density of the epoxy is 1.2g/cm3 . (b) Can both the E-glass fiber and matrix withstand the applied force?
Q: For a continuous and oriented fiber-reinforced composite, the moduli of elasticity in the longitudinal and transverse directions are 19.7 GPa and 3.66 GPa, respectively. A) If the volume fraction of fibers is 0.25, determine the moduli of elasticity of fiber and matrix phases. B) If the cross-sectional area is 200 mm? and a stress of 40 MPa is applied in this longitudinal direction, compute the magnitude of the load carried by each of the fiber and matrix phases. C) Determine the strain that is sustained by each phase when the stress in part (b) is applied.
The composite bar is initially stress-free. Calculate the stress in each material and indicate tension or compression if the temperature has increased to 25°C. Consider that the walls are unyielding and suitably braced to prevent buckling. Use 2 decimal places.
Problem: In the composite section as shown in figure 1, determine the following.1. The value of x̄2. The value of ȳ3. The moment of inertia with respect to Neutral x-axis
For the composite area shown, calculate the moment of inertia about X and Y axes
A FRP composite includes 47% continuous and aligned Aramid fibers by volume. The moduli of elasticity of the Aramid fibers and the epoxy resin matrix are 19 * 106 psi and 0.6 * 106 psi, respectively.a. Compute the modulus of elasticity of the composite in the longitudinal and transverse directions.b. If the composite cross-sectional area is 0.5 in.2 and a stress of 12 ksi is applied in the longitudinal direction, compute the load carried by the fibers and the matrix.c. Determine the strain sustained by each of the phases when stress in part(b) is applied.
Calculate the coordinates of the centroid, X'c and Y'c, for the composite section in figure, with respect to the x'Oy' coordinate system.
Determine the moment of inertia of the composite are shown about x axis.
A FRP composite includes 40% continuous and aligned Aramid fibers by vol-ume. The moduli of elasticity of the Aramid fibers and the epoxy resin matrix are 130 and 3.9 GPa, respectively. a. Compute the modulus of elasticity of the composite in the longitudinal and transverse directions. b. If the composite cross-sectional area is 150 mm' and a stress of 40 MPa is applied in the longitudinal direction, compute the load carried by the fibers and the matrix. c. Determine the strain sustained by each of the phases when stress in part (b) is applied.
compute moment of inertia of composite areas about its centroidal axis.
A circular FRP composite rod with continuous and aligned fibers has a3 in. diameter. The rod is simply supported with a span of 4 ft and is subjected to three-point bending with a 270 lb center load.a. If the maximum allowable center deflection cannot exceed 0.02 in.,what is the minimum modulus of the composite in order to meet this requirement?b. If the FRP has a modulus as obtained in Part a and the moduli of the matrix and the fibers are 0.5 * 106 psi and 20 * 106 psi, respectively, what is minimum percent of fibers that meets this requirement?
Q6) How does moisture impact tension and compression strength in composites?