1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksenya-84 [330]
3 years ago
14

A rectangular bar has a edge crack at the bottom and is subjected to a pure bending moment. The crack length is a = 1 mm. The he

ight of the bar is b = 12.5 cm. Knowing that the failure strength of the material is Sigma = 1,400 MPa, what is the fracture toughness of the material, K_ic.
Engineering
1 answer:
qwelly [4]3 years ago
7 0

Answer:

The answer is "\bold{87.3906 \ MPa \sqrt{m}}".

Explanation:

Given value:

\sigma = 1400 \ MPa \ \ \ \ \ \ \ \ where \  \sigma = failure \ strength\\\\a = 1 \ mm  =  1 \times 10^{-3} \ m      \ \ \ \ \ \ \ \ \ \ where\  a = crack\ length\\\\b= 12.5 \ cm = 125 \ mm = 0.125 \ m\\\\

\to \alpha = \frac{a}{b} =\frac{1}{125} = 8 \times 10^{-3}\\\\

k_{b} = \frac{1.12 + \alpha (2.62 \alpha -1.59)}{1-0.7 \alpha}\\

    = \frac{1.12 + (8\times 10^{-3}(2.62(8\times 10^{-3}) -1.59))}{1-(0.7 \times 8\times 10^{-3})}\\\\= \frac{1.12 + (8\times 10^{-3}(0.02096 -1.59))}{1-(0.7 \times 8\times 10^{-3})}\\\\= \frac{1.12 + (8\times 10^{-3}(-1.56904))}{1-(0.0056)}\\\\= \frac{1.12 + (-0.01255232)}{0.9944}\\\\= \frac{-1.10744768}{0.9944}\\\\= -1.11368431\\\\

k_{ic} = \sigma \sqrt{\pi a} \ y_b

     =1400 \times \sqrt{\pi \times 1 \times 10^{-3} } \times -1.11368431\\\\=1400 \times 0.00177200451 \times -1.11368431\\\\=87.3906 \ MPa \sqrt{m}

You might be interested in
A step-down transformer (turns ratio = 1:7) is used with an electric train to reduce the voltage from the wall receptacle to a v
SOVA2 [1]

Answer:

wait lemme check it out

Explanation:

6 0
3 years ago
How much does 5 acres of land cost in the US?
Dvinal [7]

Answer:

Larson, an economist, who placed the total value of $23 trillion for the entire 1.9 billion acres of land in the United States. This means that the average cost for an acre of land is $12,000 or $60,000 for 5 acres of land. Almost half of the land in the US is used for agricultural purposes.

Explanation:

6 0
3 years ago
I need ideas of usernames for a 2021 Jeep Wrangler Rubicon!!
rjkz [21]

Answer:

2021 super star wagon master

6 0
3 years ago
Given a force of 72 lbs at a distance of 15 ft, calculate the moment produced.​
Elis [28]

Answer:

1425.78 N.m

Explanation:

Moments of force is calculated as ;

Moments= Force * distance

M= F*d

The S.I unit for moment of force is Newton-meter (N.m)

Given in the question;

Force = 72 lbs

1 pound = 4.45 N

72 lbs = 4.45 * 72=320.4 N

Distance= 15 ft

1ft= 0.3048 m

15 ft = 15*0.3048 = 4.57 m

d= 4.57 m

M= F*d

M=320.4*4.57 =1425.78 N.m

5 0
3 years ago
If he wants to keep the height the same, what could the other dimensions be for him to get the volume he wants?
Fiesta28 [93]

tbm queria saber essa pergunta

8 0
3 years ago
Other questions:
  • Which of the following ranges depicts the 2% tolerance range to the full 9 digits provided?
    6·1 answer
  • Two mass streams of the same ideal gas are mixed in a steady-flow chamber while receiving energy by heat transfer from the surro
    11·1 answer
  • In which forms do MOST of the Sun's energy reach Earth's surface?
    15·1 answer
  • A double-pane insulated window consists of two 1 cm thick pieces of glass separated by a 1.8 cm layer of air. The window measure
    7·1 answer
  • Which source would be the best to base a hypothesis upon
    9·1 answer
  • Home safety and security is an _________<br><br> process. (7 Letters)<br><br> Answer
    10·1 answer
  • What is wrong with the following code?<br> 6<br> print (what is your name?)
    9·2 answers
  • An astronomer of 65 kg of mass hikes from the beach to the observatory atop the mountain in Mauna Kea, Hawaii (altitude of 4205
    15·1 answer
  • A continuously variable transmission:
    13·1 answer
  • the coil polarity in a waste spark system is determined by the direction in which the coil is wound (left hand rule for conventi
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!