(a) The factor of safety predicted by the maximum-shear-stress theory of failure is 2.22. According to this theory, the component does not fail as the factor of safety is greater than 1.
(b) The value of the Mises equivalent stress for the given state of plane stress is 331.6 MPa.
(c) The factor of safety predicted by the failure criterion of the maximum-distortion-energy theory of failure is 6.91. According to this theory, the component does not fail as the factor of safety is greater than 1.
(a) To find the factor of safety predicted by the maximum-shear-stress theory of failure, we need to calculate the maximum shear stress, which is given by:
τmax = (σ1 - σ3) / 2 = (85 - (-230)) / 2 = 157.5 MPa
The factor of safety is then given by:
FS = ay / τmax = 350 / 157.5 = 2.22
Since the factor of safety is greater than 1, the component does not fail according to this theory.
(b) The Mises equivalent stress is given by:
σeq = sqrt((σ1 - σ2)^2 + (σ2 - σ3)^2 + (σ3 - σ1)^2 + 6τ^2) / sqrt(2)
Plugging in the values given, we get:
σeq = sqrt((85 - (-230))^2 + ((-230) - 125)^2 + (125 - 85)^2 + 6(-157.5)^2) / sqrt(2) = 331.6 MPa
(c) The maximum distortion energy theory of failure predicts failure when the distortion energy exceeds the distortion energy at yield, which is given by:
Uy = ay^2 / (2E)
where E is Young's modulus of the material. For cast iron, E is typically around 100 GPa. Plugging in the values given, we get:
Uy = (350^2) / (2 * 100000) = 612.5 MPa
The distortion energy for the given stress state is given by:
U = (1/2) * ((85/350)^2 + ((-230)/350)^2 + (125/350)^2 - (85*-230)/(350350) - (85125)/(350350) - (-230125)/(350*350)) * 1000
U = 88.5 MPa
The factor of safety predicted by this theory is then given by:
FS = Uy / U = 612.5 / 88.5 = 6.91
Since the factor of safety is greater than 1, the component does not fail according to this theory either.
To know more about Young's modulus: https://brainly.com/question/13257353
#SPJ11
why does some laboratory glassware have a large percent error
The percent error in laboratory glassware can be influenced by several factors, leading to potential inaccuracies in measurements. Here are some reasons why laboratory glassware may have a large percent error:
Manufacturing Variations: Laboratory glassware is manufactured with certain tolerances, but there can still be slight variations in dimensions and volumes. These manufacturing differences can contribute to the percent error in measurements.Calibration: Laboratory glassware needs to be accurately calibrated to ensure precise measurements. If glassware is not properly calibrated or if it becomes worn or damaged over time, it can introduce errors in measurements.Parallax Error: Parallax error occurs when the observer's line of sight is not directly perpendicular to the measuring scale. This can lead to incorrect readings, particularly in volumetric glassware like burettes or pipettes.
To know more about laboratory click the link below:
brainly.com/question/28581280
#SPJ11
This is silence I couldent find the tab... 30 points plus marked brainliest if corrects!
The most recent evidence supporting the theory of plate tectonics would include
es )
A)
GPS monitoring of plate speeds and movements.
B)
the WWII discovery of paleomagnetic reversals.
Elimi
O
the 1963 mapping of the tectonic plate boundaries.
D
C-14 dating of marine fossils found in the Himalayas.
A soil had a liquid limit of 44, a plastic limit of 21, and a shrinkage limit of 14. In the summer, the in situ water content was 18%. (a) Compute the plasticity index of the soil. (b) Calculate the liquidity index of the in situ soil. (c) In which consistency state was the in situ soil
Answer:
(a) 23
(b)-0.13
(c) In which consistency state was the in situ soil? Plastic limit = 1.1
Explanation:
(a) Compute the plasticity index of the soil.
The formula for plasticity index is given as
Plasticity Index = Liquid limit - Plastic limit
Liquid limit = 44
Plastic limit = 21
Plastics Index = 44 - 21
= 23
(b) Calculate the liquidity index of the in situ soil.
Liquidity Index = Water content - Plastic limit/Liquid limit - Plastic Limit
Water content = 18%
Plastic limit = 21
Liquid limit = 44
Liquidity Index =18 -21/44 - 21
- 3/23
= -0.1304347826
≈ -0.13
(c) In which consistency state was the in situ soil
The consistency state of a soil tells us how firm the soil is.
Consistency state/index = Liquid limit - Water content/ Plastic Index
= Liquid limit - Water content /Liquid limit - Plastic Limit
Water content of the in situ soil = 18%
=44 - 18/44 - 23
= 26/23
= 1.1304347826
= 1.1
Since the consistency index of this situ soil is above 1, it means the soil is at plastic limit.
Which of the following is the most concrete and specific?
Building, White House, Shelter, or House.
The most concrete and specific term among the options provided is the White House. It refers to a particular building located in Washington, D.C., which serves as the official residence and workplace of the President of the United States. It has a distinct identity, history, and purpose, making it a highly specific and easily identifiable structure.
The White House is a globally recognized symbol of American governance and power. Its specific architectural design, located at 1600 Pennsylvania Avenue, sets it apart from generic buildings or houses. Unlike the terms "building" or "house," which can encompass a wide range of structures, the White House refers to a singular and iconic edifice with a rich historical significance. Its unique purpose as the center of American political leadership makes it the most concrete and specific option among those provided.
To know more about White House click here,
https://brainly.com/question/32426582
#SPJ11
froce and motion worksheet
Answer:
The following description of the problem is provided.
Explanation:
If somehow the system seems to be in movement it'll still relax, and it becomes moving whether it sits. An externality is a cost, that either affects or threatens that can modify the bodily condition.The phenomenon of anything changing their position, altering or completely replacing. Whenever moment anything keeps moving, several components are found..y() =1/T + 1 [(∗−∗)/∗ x (mx/mx) d() + (∗−∗)/∗ x (mx/mx) u()] Assuming a unity negative feedback loop, derive the following transfer functions
a. y ()
b. y ()
c. ()
d. ()
Assuming a unity negative feedback loop, we derived the transfer functions for the closed-loop system using the given equation.
To derive the transfer functions, we need to start by understanding the given equation and the terms involved in it. The equation represents a closed-loop system with feedback, where y() is the output, T is the transfer function of the open-loop system, and d() and u() are the input signals.
Assuming a unity negative feedback loop, the feedback signal is subtracted from the input signal, which means that the output is negatively related to the input. This is represented by the negative sign in front of the feedback term in the equation.
Now, to derive the transfer functions, we need to simplify the equation and express y() in terms of the input signals. After some algebraic manipulation, we get:
a. y() = (T*(d() - u()) + u()) / T
b. y() = T / (1 + T)
c. T() = T / (1 + T*(mx/mx))
d. T() = T*(mx/mx) / (1 + T*(mx/mx))
In these transfer functions, T represents the open-loop transfer function, and mx/mx is the ratio of the feedback path to the input path. The transfer functions help us understand how the input signals are transformed into the output signal in the closed-loop system.
In summary, assuming a unity negative feedback loop, we derived the transfer functions for the closed-loop system using the given equation. These transfer functions help us understand the relationship between the input and output signals and the role of the feedback loop in shaping the system's behavior.
Learn more about open-loop :
https://brainly.com/question/11995211
#SPJ11
write a paragraph about this passage will give 50 points i need it in 20 mins
Answer: about what ??
Explanation:
Answer:
Inspectors
Explanation:
Inspectors are workers that are involved in the construction industry. Most of them can be called a building inspector due to their job consists mostly of inspecting electrical, mechanical or plumbing systems. Half of the people who are inspecting work for the local government. They mostly ensure that everything is up to date and follows the local government standards. The inspector's work begins even before the construction starts. They analyze the structural integrity of the blueprints, ensure that everything is safe, and inspect the location of the actual building. During the construction process they inspect the foundation, plumbing, electrical wiring, framing, and the mechanical system. They may issue a occupancy permit once the building is finished. Inspectors are required to have a thorough knowledge of their job and how it works. They are also required to know all the local building codes and regulations in order to determine whether or not the building is safe for use. Generally a good background and having expertise in electrical or plumbing systems is very desirable. Working conditions are similar to most construction workers although it may be less physically demanding. Inspectors normally take ladders, navigate through messy areas filled with tools or work in confined spaces.
What is the basic requirement of measurements?
The basic requirement of measurements is to have a standard or reference point against which to compare the quantity being measured. This standard or reference point should be well-defined and stable, and the measurement process should be repeatable and consistent. Additionally, it is important to ensure that the measurement equipment is calibrated and in good working condition.
Answer:
The most basic requirement for measurements is the presence of a standard or reference point against which the quantity being measured can be compared. The measurement process should be repeatable and consistent, and the standard or reference point should be well-defined and stable. Furthermore, ensure that the measurement equipment is calibrated and in good working order.
Explanation:
A retaining walL with a smooth vertical bar retains a soil mass having a horizontal surface to depth of 5.4 meters . calculate the magnitude of the resultant active thrust on the wall and give its line of action . the soil has an angle of shearing resistance of 30 and unit weight of 19.8KN per cubic meter
Note that the magnitude of the resultant active thrust on the wall is 876.69 kN.
What is the explanation for the above response?
To calculate the magnitude of the resultant active thrust on the wall, we need to use Rankine's theory of earth pressure.
Let's assume that the wall height is also 5.4 meters, and the angle of wall friction is zero.
Then, the total active thrust (Q) is given by:
Q = Ka * H * gamma * H/2
Where,
Ka = Active earth pressure coefficient
H = height of the wall
gamma = unit weight of soil
The active earth pressure coefficient can be calculated using the following formula:
Ka = (1 - sin(phi)) / (1 + sin(phi))
Where, phi = angle of shearing resistance of soil
Substituting the given values, we get:
phi = 30 degrees
H = 5.4 meters
gamma = 19.8 kN/m^3
Ka = (1 - sin(30)) / (1 + sin(30)) = 1/3
Q = Ka * H * gamma * H/2 = (1/3) * 5.4 * 19.8 * 5.4/2 = 876.69 kN
Therefore, the magnitude of the resultant active thrust on the wall is 876.69 kN.
The line of action of the resultant active thrust on the wall will be at one-third of the height of the wall from the bottom. Therefore, the line of action of the active thrust will be at a height of 1.8 meters from the bottom of the wall.
Learn more about magnitude at:
https://brainly.com/question/15681399?
#SPJ1
retaining
Function of
Wall
Answer:
A retaining of a wall is a protective structure, first and foremost.
Explanation:
Its main aim is to provide functional support for keeping soil in place. It acts as a wall to keep the soil on one side and the rest of the landscape area on the other, providing a platform for a garden to be created.
(20 points) {brainliest} pls helpp
Manufacturing processes involve several types of waste. Which methodology seeks to reduce all types of waste to improve efficiency?
A. Six Sigma
B. Just-in-time production
C. Agile project management
D. Lean manufacturing
a homeowner consumes 700 kwh of energy in march. determine the average cost per kwh for the month using the following residential rate schedule: base monthly charge of $10.00. first 100 kwh per month at 16 cents/kwh. next 200 kwh per month at 10 cents/kwh. over 300 kwh per month at 6 cents/kwh.
Answer:
10 cents/kwh
Explanation:
Base monthly charge = $10.00
First 100 kwh at $0.16/kwh = $16.00
Next 200 kwh at $0.10/kwh = $20.00
Remaining 400 kwh at $0.06/kwh = $24.00
Total charge = $10 + $16 + $20 + $24 /(100+200+400)
Average cost = $70/700 or 10 cents/kwh
A building has a remaining useful life of 10 years. Major construction improvements were performed on the building. As a result, the building engineers estimated that the improvements added another 30 years to the building, for a total remaining useful life of 40 years.
A. The remaining useful life cannot be changed. The construction costs are capitalized and depreciated over 10 years.
B. The costs of construction are capitalized and can only be depreciated over the incremental 30 years added, and only after 10 years has lapsed.
C. The costs of construction are capitalized and are depreciated over the new total remaining useful life of 40 years.
D. The costs of construction are expensed immediately. E. The costs of construction are applied retroactively back to the building’s acquisition date.
The costs of construction are capitalized and are depreciated over the new total remaining useful life of 40 years (Option C).
Capitalization refers to the process of recording an expense or cost as an asset on a company's balance sheet rather than as an expense on the income statement. The asset acquired is usually capitalized when its future economic benefits exceed the amount of the investment, and the benefits will be realized over an extended period.
The building engineers estimated that the improvements added another 30 years to the building, for a total remaining useful life of 40 years. Therefore, the costs of construction are capitalized and are depreciated over the new total remaining useful life of 40 years. So, the answer is option C: The costs of construction are capitalized and are depreciated over the new total remaining useful life of 40 years.
You can learn more about investment at: brainly.com/question/14921083
#SPJ11
Which of the following defines context?
the ability to find new ways of thinking about a problem
the condition in which a problem exists
the study of the theoretical nature of an event
the problem-solving technique of an engineer
Answer:
The condition in which a problem exists
Explanation:
Context is the situation surrounding information, e.g. if you don't understand a word in a passge you can look for "context clues" where you use surrounding words to infer the meaning of the unknown one
How to update android 4.4.2 to 5.1
Answer:
try settings and go to updates?
Explanation:
difference between theory and practice?
Answer:
There is a huge difference between theory vs. practice. Theory assumes an outcome, while practice allows you to test the theory and see if it is accurate.
Theory and Practice Explained
Practice is the observation of disparate concepts (or a phenomenon) that needs explanation. A theory is a proposed explanation of the relationship between two or more concepts, or an explanation for how/why a phenomenon occurs.
A shopaholic has to buy a pair of jeans , a pair of shoes l,a skirt and a top with budgeted dollar.Given the quantity of each product and the price per unit determine how many options of each item are present.if required all dollars are spent write the programming in c
Answer:
you might be facing some difficulty in observing this point of division between your question and me
Can we live without software?
No, because you are using it right now.
Yes, because software is not the most improtant thing in our life.
list the circuit configurations of transistor amplifiers and their relative advantages and disadvantages.
The various circuit configurations of transistor amplifiers are Common Emitter (CE) Configuration, Common Base (CB) Configuration, Common Collector (CC) Configuration, Darlington Configuration, Cascode Configuration, and Push-Pull Configuration, and their relative advantages and disadvantages are explained below.
Transistor amplifiers can be classified into several circuit configurations, each with its own advantages and disadvantages. Here are some common transistor amplifier configurations:
Common Emitter (CE) Configuration:Advantages: High voltage gain, high current gain, medium input impedance, and relatively good frequency response.
Disadvantages: Low input impedance, phase inversion (180-degree phase shift), and relatively low power efficiency.
Common Base (CB) Configuration:Advantages: High current gain, high input impedance, and good high-frequency response.
Disadvantages: Low voltage gain, low power efficiency, and no phase inversion.
Common Collector (CC) Configuration (also known as emitter follower):Advantages: Unity voltage gain (approximately), high input impedance, high output impedance, and good current gain.
Disadvantages: Low voltage gain, no phase inversion, and relatively poor frequency response.
Darlington Configuration:Advantages: Very high current gain, high input impedance, and low output impedance.
Disadvantages: Relatively low voltage gain, increased complexity, and increased likelihood of thermal stability issues.
Cascode Configuration:Advantages: High voltage gain, high bandwidth, good linearity, and low output impedance.
Disadvantages: Relatively complex circuit, increased power consumption, and limited input impedance.
Push-Pull Configuration:Advantages: High power efficiency, good linearity, and relatively low distortion.
Disadvantages: Increased complexity, need for matched complementary transistors, and potential crossover distortion.
Each configuration has its own trade-offs, and the choice of circuit configuration depends on the specific application requirements, such as desired gain, impedance matching, frequency response, and power efficiency.
It's important to note that the advantages and disadvantages mentioned above are general characteristics, and the actual performance of a transistor amplifier circuit can be influenced by component selection, biasing, and other design considerations.
Learn more about transistor amplifiers at:
brainly.com/question/1426190
#SPJ11
Never operate electric tools outdoors or in wet conditions unless circuit is protected by what?.
Never operate electric tools outdoors or in wet conditions unless the circuit is protected by a ground fault circuit interrupter (GFCI).
When a number of electric entities are connected through various conductors is called a circuit.
Here,
A ground fault circuit interrupter (GFCI) helps to avoid the repercussion caused due to electric shocks. An individual receives a shock, the GFCI perceives this and cuts off the current before the individual can get any damage. it is usually installed where electrical circuits come into reference with water.
Thus, Never operate electric tools outdoors or in wet conditions unless the circuit is protected by a ground fault circuit interrupter (GFCI).
Learn more about the circuit here:
https://brainly.com/question/21505732
#SPJ4
1. In the palindromes program, the inner loop evaluates one string to see if it is a palindrome.True or False2 In the palindromes program, a potential palindrome is evaluated by comparing characters at both ends and working inwards.True or False3 In the palindromes program, the inner loop will not continue comparing characters once the it's determined that the string is not a palindrome.True or False4 The string 'i prefer pi' would be considered a palindrome by the original version of the palindromes program.True or False
True. In a palindrome program, the inner loop typically iterates through the characters of a string to check whether the string is a palindrome or not.
What is a Palindrome program?
A palindrome program is a computer program that checks whether a given input string is a palindrome or not. A palindrome is a word, phrase, number, or other sequence of characters that reads the same forward and backward when spaces, punctuation, and capitalization are removed.
A typical palindrome program involves iterating through the characters of the input string using a loop, comparing the characters at the beginning and end of the string and moving inward towards the middle of the string until either the entire string has been checked or a pair of characters that do not match is found. If all the characters match, the string is a palindrome; otherwise, it is not.
To learn more about palindrome program, visit: https://brainly.com/question/16044671
#SPJ1
ASAP PLease electrical engineering problem
Answer:
see attached
Explanation:
As you know, a full adder produces the binary value in (carry, output) that is the the number of true input bits among the (carry in, A, B) inputs.
The annotated diagram attached shows the bit values for a 4-bit full adder/subtractor.
__
Additional comment
If the numbers are considered "signed", then the top diagram will generate an "overflow" based on the difference between the carry C4 and the output O4.
Hammer welding preceded resistance welding
True
False
Answer:false
Explanation:
Bc
If a pilot-operated check valve (POC) does not check flow, you will see a. erratic actuator movement b, no actuator movement c. external leakage d. fast actuator drift
If a pilot-operated check valve (POC) does not check flow, you will see a. erratic actuator movement.
What is a pilot-operated check valve (POC)?Pilot operated test valves paintings through permitting loose float from the inlet port via the opening port. Supplying a pilot strain to the pilot port permits float withinside the contrary direction. Air strain on pinnacle of the poppet meeting opens the seal permitting air to float freely.
An actuator fault is a form of failure affecting the machine inputs. Due to strange operation or fabric aging, actuator faults might also additionally arise withinside the machine. An actuator may be represented through additive and/or multiplicative fault.
Read more about the pilot-operated check valve:
https://brainly.com/question/13001928
#SPJ1
Expression for calories burned during workout
Part C 1 pts What is the output of the following code? (check all that apply) int option = 2; switch (option) { case 1: System.out.println("You entered 1"); case 2: System.out.println("You entered 2"); case 3: System.out.println("You entered 3"); default: System.out.println("You entered an invalid option"); } You entered 3 You entered an invalid option You entered 1 You entered 2
The correct outputs Code are "You entered 2", "You entered 3", and "You entered an invalid option".
The output of the given code will be:
You entered 2
You entered 3
You entered an invalid option
This is because the switch statement is based on the value of the variable 'option', which is initialized as 2. So, it will execute the code block under the case 2, which is to print "You entered 2". However, there are no break statements after each case, so it will continue to execute the code blocks under the subsequent cases until it reaches a break statement or the end of the switch statement. Therefore, it will also print "You entered 3".
Since there is no case for option equal to 4, the default code block will execute and print "You entered an invalid option".
So, the correct outputs are "You entered 2", "You entered 3", and "You entered an invalid option".
To know more about Code visit :
https://brainly.com/question/31768019
#SPJ11
the process of breaking the wbs into smaller and smaller deliverables is called: group of answer choices functional design detailed specifications value engineering decomposition
Decomposition is the process of breaking the Work Breakdown Structure (WBS) into smaller and smaller deliverables. This process is also sometimes referred to as value engineering or detailed specifications. By decomposing the WBS into smaller pieces, it becomes easier to assign tasks, assign costs, and plan out timelines.
The decomposition process begins by taking the major deliverables of the project and breaking them down into smaller tasks. From there, each task is further broken down into even more specific tasks. This process is repeated until all tasks have been broken down into their smallest components.
The purpose of decomposition is to create a well-defined scope of the project so that it can be managed in an efficient manner. It allows managers to easily identify the resources, cost, and timeline of each task, as well as provide a way to evaluate the progress of each task. It also allows for better control of the overall project.
Decomposition is a critical part of the project management process, as it ensures the project is organized and defined. This ultimately leads to an overall better result for the customer.
You can learn more about Decomposition at: brainly.com/question/8009068
#SPJ11
in another scenario, if we compress the air from 100 kpa to 200 kpa undergoing an isothermal polytropic process and the initial volume is 2 m3, what is the final volume? and what is the q and w during the process
The heat transfer during the process, q is -5,773.1 J. The negative sign indicates that heat is leaving the system. the work done during the process, w is -5,773.1 J
Calculating Work and Heat Transfer in an Isothermal Polytropic Process.To find the final volume of the air, we need to use the polytropic process equation:
P1 * V1^n = P2 * V2^n
where P1 and V1 are the initial pressure and volume, P2 is the final pressure, V2 is the final volume, and n is the polytropic index.
Since the process is isothermal, n = 1. Therefore, we can simplify the equation to:
P1 * V1 = P2 * V2
Plugging in the given values, we get:
100 kPa * 2 m^3 = 200 kPa * V2
Solving for V2, we get:
V2 = (100 kPa * 2 m^3) / (200 kPa) = 1 m^3
Therefore, the final volume of the air is 1 m^3.
To calculate the work done during the process, we can use the formula:
w = n * R * T * ln(V2/V1)
where R is the gas constant, T is the temperature (which is constant since the process is isothermal), and ln is the natural logarithm. Since the process is isothermal, n = 1. Therefore, we can simplify the equation to:
w = R * T * ln(V2/V1)
Plugging in the given values, we get:
w = 8.314 J/mol*K * (273.15 K) * ln(1 m^3 / 2 m^3)
w = -5,773.1 J
The negative sign indicates that work is being done on the system, since the volume is decreasing.
To calculate the heat transfer during the process, we can use the first law of thermodynamics:
ΔU = q - w
where ΔU is the change in internal energy of the system, q is the heat transfer, and w is the work done. Since the process is isothermal, the change in internal energy is zero. Therefore, we can simplify the equation to:
q = w
Plugging in the calculated value of w, we get:
q = -5,773.1 J
Therefore, the heat transfer during the process is -5,773.1 J. The negative sign indicates that heat is leaving the system
To know more about work and heat transfer, visit:https://brainly.com/question/17015937
#SPJ4
el protozoos es del reino protista?
Answer: Si (Yes)
Explanation:
Answer:
Protozoario o protozoo es un organismo unicelular y eucariota (con núcleo celular definido) perteneciente al Reino protista. Los protozoarios se encuentran junto con los protófitos o algas simples, generalmente acuáticas, dentro del Reino protista o también denominado Reino protoctista.
Explanation:
in order to stabilize cams, springs, and linkages within the fuel control, manufacturers generally recommend that all final turbine engine trim adjustments be made in which direction?
In order to stabilize cams, springs, and linkages within the fuel control, manufacturers generally recommend that all final turbine engine trim adjustments be made in an increase direction.
What aids in stability in turbine engines?Variable inlet guide vanes and bleed-air valves are two devices some axial-flow gas turbine engines employ to stabilize the airflow through the compressor during low-thrust conditions.
Manufacturers typically advise that all final trim adjustments for turbine engines be made in an increasing direction so order to stabilize cams, springs, and linkages within the fuel control.
Learn more about control at;
https://brainly.com/question/29100095
#SPJ4