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Zanzabum
3 years ago
9

Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite in which the average fiber diameter a

nd length are 0.010 mm and 2.5 mm, respectively, and the volume fraction of fibers is 0.40. Assume that thefiber-matrixbondstrengthis75MPa, the fracture strength of the fibers is 3500 MPa and the matrix stress at fiber failure is 8.0 MPa.
Engineering
1 answer:
Stells [14]3 years ago
5 0

Answer:

Explanation:

Given that,

Average fiber diameter is 0.01mm

d = 0.01mm = 1 × 10^-5m

The average fiber length is 2.5mm

L = 2.5mm = 0.0025m

Volume of the fraction of fibers is 0.40

Vf = 0.40

Fiber matrix bond strengths is 75MPa

τ = 75 MPa

The fraction strength of the fibers is 3500 Mpa

σf = 3500 MPa

The matrix street fiber is 8 MPa

σm = 8 MPa

We need to find the critical fiber length and compare it to original fiber length

Ic = σf•d / 2τ

Ic = 3500 × 0.01 / 75 × 2

Ic = 0.233 mm

Since the critical fiber length of 0.233 mm is much less than the provided length of the fiber (2.5mm) , so we can use the following equation to find the longitudinal tensile strength

σcd = σf•Vf(1—Ic / 2L) + σm(1—Vf)

σcd = 3500×0.4[1—0.233/(2 × 2.5)] + 8(1—0.4)

σcd = 1400(1—0.0467) + (8 × 0.6)

σcd = 1334.67 + 4.8

σcd = 1339.47 MPa

The longitudinal tensile strength of the aligned glass fiber-epoxy matrix composite is 1339.47 MPa

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A large spherical tank contains gas at a pressure of 400 psi. The tank is constructed of high-strength steel having a yield stre
jok3333 [9.3K]

Answer:

t=2.025 inches

Explanation:

Given that

P = 400 Psi

Yield stress ,σ = 80 ksi

Diameter ,d= 45 ft

We know that

1 ft = 12 inches

d= 540 inches

Factor of safety ,K= 3

The required thickness given as

\dfrac {Pd}{4t}=\dfrac{\sigma}{K}

t=thickness

\dfrac {PdK}{4\sigma}=t

\dfrac {400\times 540\times 3}{4\times 80\times 1000}=t

t=2.025 inches

Therefore thickness will be 2.025 inches.

5 0
4 years ago
When trying to solve a frame problem it will typically be necessary to draw many free body diagrams. a)-True b)-False
klasskru [66]

Answer:

True

Explanation:

When trying to solve a frame problem in Engineering or Physics, it will typically be necessary to draw more than one body diagram.

When we have several parts of the frame or a set of frames, we have the anchor point, as well as the intersections of frames. Besides that, usually, there is a particle or rigid body together with the frame system. In this sense, usually, it is required to analyze a body diagram for the particle or rigid body suspended, as well as the intersections of the frames. So, usually, it will be required a minimum of two body diagrams.

If the system is more complex, or there are many intersections points, it will be required more than two body diagrams.

Finally, indeed, it will typically be necessary to draw many-body diagrams. 

6 0
3 years ago
Joseph wants to practice architecture. Which compulsory assessment administered by NCARB does he need to complete?
Hunter-Best [27]

Answer:

Architect Registration Examination (ARE)

Explanation:

In this scenario, Joseph wants to practice architecture. A compulsory assessment administered by National Council of Architectural Registration Boards (NCARB) which he has to complete is an Architect Registration Examination.

An Architect Registration Examination (ARE) refers to the professional licensure examination to be taken by anyone who intends to practice architecture in the United States of America, Puerto Rico, Guam, Canada, US Virgin Islands.

The main purpose of the Architect Registration Examination is to assess an architect's knowledge, skills, and abilities on architectural best practices, procedures and services. Also, it focuses on areas relating to a building's safety, soundness and health impact on the habitants. Therefore, ARE is a prerequisite for practicing architecture across the United States of America jurisdiction.

Once an architect passes the examination, he or she would be given a license to practice architecture.

<em>Hence, for Joseph to practice architecture he must take the Architect Registration Examination developed and administered by National Council of Architectural Registration Boards (NCARB). </em>

8 0
3 years ago
How wold you classify the earliest examples of S.T.E.M discoveries provided in this lesson?
Gnoma [55]

Answer:

the answer is C

Explanation:

8 0
3 years ago
a circular pile, 19 m long is driven into a homogeneous sand layer. The piles width is 0.5 m. The standard penetration resistanc
Elena L [17]

Answer:

Point force (Qp) = 704 kn/m²

Explanation:

Given:

length = 19 m

Width = 0.5 m

fs = 4

Vicinity of the pile = 25

Find:

Point force (Qp)

Computation:

Point force (Qp) = fs²(l+v)

Point force (Qp) = 4²(25+19)

Point force (Qp) = 16(44)

Point force (Qp) = 704 kn/m²

5 0
3 years ago
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