MatLab Inverese Laplace Transform
Find the inverse Laplace transform using Matlab for F(s) = 6(s + 34)/s(s^2 + 10s + 34) If this was solved by hand using the table, one would get f(t) = 6+10e^-5t cos(3t + 126.9 degree) Compare the two results (hand and Matlab) and determine if they match. You can plot them to compare. Note Matlab cos function uses radians, not degree.
Answers
The results are very close, and when plotted, the differences are visually indistinguishable. This shows that the hand and MatLab results agree very closely.
What is indistinguishable?In a general sense, something that is indistinguishable cannot be differentiated between two or more items or entities. This could refer to physical items, such as two identical objects, or it could refer to intangible things, such as two indistinguishable sounds or emotions. When something is indistinguishable, it means that the differences between the items or entities are too small or too subtle to be noticed. In some cases, two or more items might appear to be identical, even though there may be slight differences that are difficult to detect.
The hand and MatLab results are very similar, but not exact due to numerical precision. However, when plotted, they are nearly indistinguishable. The MatLab result is:
f(t) = 6 + 10*exp(-5*t)*cos(3*t)
When converted to degrees, this is:
f(t) = 6 + 10*exp(-5*t)*cos(3*t + 126.891°).
The results are very close, and when plotted, the differences are visually indistinguishable. This shows that the hand and MatLab results agree very closely.
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Related Questions
Is the impedance of the capacitor purely reactive, and how does it compare to the nominal value of the ideal capacitor? Why or why not is it purely reactive?
Answers
In an electric field, a capacitor is a device that stores electrical energy. It has two terminals and is a passive electrical component. Capacitance refers to a capacitor's effect.
What is the impedance of an ideal capacitor?An perfect capacitor has an infinite resistance. For all frequencies and capacitance levels, the reactance of a perfect capacitor, and consequently its impedance, is negative.A capacitor that has no resistance and therefore doesn't lose any energy while it's operating is the ideal capacitor. It just possesses capacitance. There is no dielectric loss in a perfect capacitor. High temperature stability characterizes the ideal capacitor.As capacitance and frequency increase, capacitive reactance falls. Impedance is the complete opposition that reactance and resistance give.Similar to inductors, the ideal capacitor is a totally reactive device with no resistive (power dissipative) effects whatsoever. Of course, nothing is so flawless in the actual world. Capacitors, however, have the advantage of often being more pure reactive componentsTo learn more about Ideal capacitor refer to:
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A 2 mX2 m square foundation is 2.5 m deep. The standard penetration blow count (n) is
Answers
Answer:
there are multiple problems related to bearing capacity and standard penetration tests for square foundations, but there is no information on the specific soil type or location. Therefore, it is not possible to determine the standard penetration blow count (n) for the given scenario. It is important to conduct a site investigation to determine the properties of the soil and perform the necessary tests to obtain accurate data for design purposes.
Explanation:
Heat air rises, cools then falls. Air near heat is replaced by cooler air and the cycle repeats
Answers
pls help me it’s due today
Answers
Answer:
C. 14.55
Explanation:
12 x 10 = 120
120 divded by 10 is 12
so now we do the left side
7 x 3 = 21 divded by 10 is 2
so now we have 14
and the remaning area is 0.55
so 14.55
Which class does not require an import statement at the beginning of the program that uses it? a) java.lang.Double. b)java.awt.Color. c) java.math.
Answers
java.lang.Double class does not require an import statement at the beginning of the program that uses it.
The correct answer to the question is option a.
This class is a part of the core Java API and is automatically imported by the compiler whenever a Java program is run. This means that a programmer does not need to explicitly import the java.lang.Double class in their code.
The java.awt.Color and java.math classes, on the other hand, are not part of the core Java API and therefore require an import statement at the beginning of the program that uses them.
The java.lang package contains classes that are fundamental to the Java programming language, such as Object, String, and Double. These classes are used frequently in Java programs and are always available without needing to import them.
The java.awt package contains classes for creating graphical user interfaces (GUIs), while the java.math package contains classes for performing advanced mathematical operations.
It is important for Java programmers to understand which classes require an import statement and which do not, as this can affect the performance and functionality of their programs. By understanding the core Java API and the packages and classes it contains, programmers can write more efficient and effective code.
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(20%) machining appears to play an important role in the manufacturing of this phone housing, but machining is a relatively slow process. can you explain why machining was chosen instead of sheet-metal forming or casting alone? list the major considerations and compare among all these processes to justify your answer.
Answers
No raw material is wasted during the metal forming process, and the product has higher mechanical qualities and is produced more quickly.
By using a wedge-shaped tool, machining is the removal of material in the form of chips. Metal plates, tubes, or solid round bars make up the material that is machined. On the other hand, metal flat sheets make up the material that goes through the fabrication process. Metal is heated in a furnace until molten before being cast. The metal is poured into a die, or mold, while it is still liquid, giving the metal the shape of the component.
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A property's roof is twenty years old and has not been replaced. This condition would most likely be considered to be an example of
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A property's roof is twenty years old and has not been replaced. This condition would most likely be considered to be an example of curable physical deterioration.
What is Curable physical deterioration?
Curable deterioration is a type of deterioration that can be cured economically. The economic feasibility of a property is indicated if the increase in value exceeds or is equal to the anticipated cost of repairing the property. The cost of replacing or restoring the item is used as a reasonable measure of curable deterioration.
Estimating the value of items that need to be repaired, such as window replacements, repainting, weatherstripping, roof repair, loose tile fixing, faulty wiring, and heating or cooling system repairs, is part of measuring curable deterioration.
Only include the items listed above if the increase in property value will cover the cost of repairs. For example, if roof repair and loose tile repair are estimated to cost $8,000, a prospective buyer can reduce their offer price by the same amount to cover the cost of doing such repairs.
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Tech A says that multi-plate clutches must have a specified amount of clearance when they are installed. Tech B says that there should be no clearance when they are installed because the clutch would slip. Who is correct?
Answers
The person who is correct based on the assertions made about the multi-plate clutch is:
Technician AMulti-plate ClutchThis refers to the machinery which makes use of plates so that there would be efficient transmission between the engine shaft and the transmission shaft.
WIth this in mind, we can see that they must have specific amount of clearance when they are installed so that they can effectively function in the automobile.
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Artificial intelligence involves the development of machines and computer systems that can simulate human intelligence processes.
1) True
2) False
Answers
The answer is true because there are many AI examples who use almost human like intelligence processes
Estimate properties and pipe diameter Determine the diameter of a steel pipe that is to carry 2000 gal/min of gasoline with a pressure drop of 5 psi per 100 ft of horizontal pipe. Pressure drop is a function of flow rate, length, diameter, and roughness. Either iterative methods OR equation solvers are necessary to solve implicit problems. Total head is the sum of the pressure, velocity, and elevation. What is the density of gasoline
Answers
Answer:
Diameter of pipe is 0.535 ft
Explanation:
see attachment, its works out 1st half
PLEASE HELP I NEED THIS ASP!!
Answers
Answer:
up up down down
Explanation:
left right left right b a select start
power cords can be damaged by Which of the following?
Answers
What are the benefits of using the engineering design process
Answers
Answer:
Some of the benefits are tangible for they are visible in the design and production process, while the other benefits are intangible which may not be visible directly but result in improvement in the quality of product, better control over designing and production process, reduction of stress on the designers etc.
1 Introduction Heat exchangers are used in many applications. They consist of two fluid streams, one hot and one cold. The cold stream is used to cool the hot stream, and vice versa. Perhaps the most common example is an automobile radiator. Coolant is circulated through the engine to keep it cool. However, this also heats up the coolant. In the radiator, the air enters and serves to cool the hot coolant before it is recirculated through the engine. In any thermodynamic system, including heat exchangers, energy must be conserved. Today's lab explores the heat and work interactions between the two fluids in a heat exchanger. 2 Assignment Consider a heat exchanger that uses hot air to heat cold water. Air enters this heat exchanger at 20psia and 200
∘
F at a rate of 100cfm and leaves at 17psia and 100
∘
F. Water enters at 20psia and 50
∘
F at a rate of 0.5lbm/s and exits at 17psia. Determine the exit temperature of the water and the fan and pump powers necessary to drive the air and water flows respectively. Figure 1: Heat exchanger with cold water running through the tubes and hot air moving across the exchanger. Plot the boundary work and heat transfer versus n in increments of 0.1, and discuss the results.
Answers
A heat exchanger is considered, that uses hot air to heat cold water. Air enters this heat exchanger at 20psia and 200 °F at a rate of 100cfm and leaves at 17psia and 100 °F. Water enters at 20psia and 50 °F at a rate of 0.5lbm/s and exits at 17psia.
The exit temperature of the water and the fan and pump powers necessary to drive the air and water flows, respectively, is to be determined. It is required to determine the exit temperature of the water and the fan and pump powers necessary to drive the air and water flows, respectively. Considering the air-side first, using the formula for enthalpy change, ∆h = C p * m * ∆T where ∆h is the enthalpy change, C p is the specific heat capacity, m is the mass flow rate, and ∆T is the temperature difference.
In this case: ∆h = C p * m * ∆T∆ h = 0.24 * 100 * (200 − 100) = 2400 BTU/h The air-side pressure drop is given by:∆P = P f − Pi = 20 − 17 = 3 psi. The air-side power required is given by the formula, Power = ∆P * V * f where V is the volumetric flow rate and f is the fluid density. Rearranging this, Power = ∆P * m / f where m is the mass flow rate. Thus, Power = (3 * 100 / 60) * 100 / 14.7 = 15.3 h p Now consider the water-side.
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how much power (kw) would be required to drive the compressor if the total volumetric flow rate at the inlet is 450 m3/s?
Answers
The power required to drive the compressor for a volumetric flow rate of 450 m3/s is 13,500 kW.
Compressor power, also known as compression power, is the amount of power required to compress a gas or fluid. It is typically measured in watts (W) or horsepower (hp).
Compressor power is an important factor in determining the efficiency and performance of a compressor.
Calculate the mass flow rate (m):
m = ρ*V
m = 1.2 kg/m3 * 450 m3/s
m = 540 kg/s
2. Calculate the compressor power (P):
P = m*(h2 - h1)
P = 540 kg/s * (3.3 - 1.3) kJ/kg
P = 13,500 kW
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Kendal is working on a document with a SmartArt object. The SmartArt is obscured by a picture. In order to ensure the SmartArt is visible, she should do which of the following?
1. Bring the SmartArt object to the front.
2. Align the SmartArt object to the top.
3. Change the text wrapping to In Front of Text.
4. Set the vertical alignment to Top.
Answers
The correct answer to the question is option 1. In order to ensure the SmartArt is visible, Kendal should bring the SmartArt object to the front.
What is SmartArt? SmartArt is a new feature in Microsoft Office applications that enables users to create diagrams and charts to represent information graphically. Excel, Outlook, PowerPoint, and Word all support SmartArt graphics. This tool lets you quickly create an amazing graphic that can be customized to your specific needs, making it easier to present complex data with clarity and style. Therefore, to ensure the SmartArt is visible, Kendal should bring the SmartArt object to the front.
To ensure that the SmartArt object is visible and not obstructed by other elements such as pictures in Microsoft Office applications like Excel, Outlook, PowerPoint, or Word, Kendal should bring the SmartArt object to the front. By bringing the SmartArt object to the front, it will be positioned in a higher layering order compared to other objects, allowing it to appear in front of the picture and ensuring its visibility.
This adjustment in layering order can be done within the application's interface, usually through options like "Bring to Front" or "Move Forward" available in the formatting or arrange menus. By selecting these options for the SmartArt object, Kendal can ensure that it is positioned above the picture and easily visible to viewers. This way, SmartArt can effectively present complex information in a visually appealing and comprehensible manner.
It's important to note that SmartArt is a powerful feature that allows users to create dynamic and customizable diagrams and charts, aiding in the effective communication of data. By bringing the SmartArt object to the front, Kendal can maximize its impact and ensure that it is prominently displayed within the document or presentation.
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Air enters the turbine of an ideal Brayton cycle at a temperature of 1200 °C. If the cycle pressure ratio is 8:1, find the net work output (kJ/kg) of the turbine. Assume the cold air standardO 580O 831O 474O 538O.660
Answers
The net work output of the turbine is approximately 474 kJ/kg.
The Brayton cycle is a thermodynamic cycle used in gas turbine engines. The cycle consists of four processes: isentropic compression, constant pressure heat addition, isentropic expansion, and constant pressure heat rejection.
Given that the cycle pressure ratio is 8:1, the pressure ratio across the turbine is also 8:1. Assuming an ideal Brayton cycle, the net work output of the turbine can be calculated using the following equation:
W_turbine = cp(T3 - T4)
where cp is the specific heat at constant pressure, T3 is the temperature at the turbine inlet, and T4 is the temperature at the turbine outlet.
To calculate T3, we can use the following equation:
T3 = T2 (PR)^((γ-1)/γ)
where T2 is the temperature at the compressor outlet, PR is the pressure ratio, and γ is the ratio of specific heats.
Assuming a cold air standard and using the given values, we obtain:
γ = 1.4 (for air)
T2 = T1 (PR)^(γ-1) = 1200°C (8)^(1.4-1) = 2645.5 K
T3 = 2645.5 K (8)^(0.4/1.4) = 1571 K
To calculate T4, we can use the fact that the turbine is isentropic, which means that the entropy remains constant. Therefore, we can use the following equation:
s3 = s4
where s is the specific entropy. Assuming a cold air standard, the specific entropy can be calculated using the following equation:
s = cp ln(T/T0) - R ln(p/p0)
where T0 and p0 are reference values (usually taken to be 298 K and 1 atm), and R is the gas constant. Substituting the given values, we obtain:
s3 = 1.005 ln(1571/298) - 0.287 ln(8/1) = 5.84 J/kg.K
Using the fact that s4 = s3 and assuming a cold air standard, we can calculate T4 using the following equation:
T4 = T0 exp((s3 - cp ln(T0/T4))/cp) = 563 K
Finally, substituting the calculated values into the equation for the network output, we obtain:
W_turbine = 1.005 (1571 - 563) = 474 kJ/kg
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a 3 m long, 2 m wide plate is maintained at 500°c. sodium at 300°c flows over the plate at 0.01 m/s. what is the rate of heat transfer from the entire plate?
Answers
The rate of heat transfer from the entire plate is approximately 706000 W.
How to calculate the rate of heat transfer from the entire plate?To calculate the rate of heat transfer from the entire plate, we need to use the heat transfer coefficient, the area of the plate, and the temperature difference between the plate and the sodium.
Assuming steady-state heat transfer and negligible thermal resistance in the plate and the sodium, we can use the following equation for the rate of heat transfer:
Q = hA(T_plate - T_sodium)
where Q is the rate of heat transfer, h is the heat transfer coefficient, A is the area of the plate, T_plate is the temperature of the plate, and T_sodium is the temperature of the sodium.
To calculate the heat transfer coefficient, we can use the Nusselt number correlation for forced convection over a flat plate:
Nu = 0.664*Re^(1/2)*Pr^(1/3)
where Nu is the Nusselt number, Re is the Reynolds number, and Pr is the Prandtl number.
The Reynolds number is given by:
Re = ρvL/μ
where ρ is the density of the sodium, v is the velocity of the sodium, L is the length of the plate, and μ is the dynamic viscosity of the sodium. For sodium at 300°C, the density and dynamic viscosity are 974 kg/m^3 and 0.276 x 10^-3 Pa·s, respectively.
Substituting the given values, we get:
Re = 9740.013/0.276x10^-3
Re ≈ 106103
The Prandtl number for sodium at 300°C is approximately 0.009.
Substituting the Reynolds number and Prandtl number, we get:
Nu = 0.664*(106103)^(1/2)*(0.009)^(1/3)
Nu ≈ 225.9
The heat transfer coefficient can be calculated from the Nusselt number using the relation for forced convection over a flat plate:
h = Nu*k/L
where k is the thermal conductivity of sodium and L is the length of the plate.
For sodium at 300°C, the thermal conductivity is approximately 82.4 W/m·K.
Substituting the given values, we get:
h = 225.9*82.4/3
h ≈ 5886.7 W/m^2·K
The area of the plate is given by:
A = L*W
where W is the width of the plate.
Substituting the given values, we get:
A = 3*2
A = 6 m^2
The temperature difference between the plate and the sodium is:
ΔT = T_plate - T_sodium
ΔT = 500 - 300
ΔT = 200°C
Substituting the calculated values, we get:
Q = hAΔT
Q = 5886.76200
Q ≈ 7.06 x 10^5 W
Therefore, the rate of heat transfer from the entire plate is approximately 706000 W.
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why you so mean to me? leave my questions please. answer them
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Answer: Why is even here then.
Explanation:
Which of the following is true about customer relationship management (CRM)?
A. It eliminates the need to depend on information produced through primary research.
B. Its aim is to directly maximize profit margins.
C. Its aim is to establish cause-effect relationships between marketing strategies and consumption trends.
D. Its aim is to maximize customer loyalty.
Answers
The statement that is true about customer relationship management (CRM) is "Its aim is to maximize customer loyalty."
Option D is the correct option.
CRM stands for customer relationship management.
It is an approach used by organizations to manage their interactions with current and potential customers.
The main aim of CRM is to maximize customer loyalty.
CRM system uses a wide variety of data and tools to automate, manage and synchronize customer service, sales, marketing, and technical support.
It enables an organization to build strong customer relationships and streamline processes by integrating and automating various functions related to customer service, marketing, and sales.
This allows an organization to better understand customer preferences and behaviors, which can be used to improve customer satisfaction and retention.
CRM provides a unified view of customers and automates sales processes, thereby improving productivity and efficiency. It also helps an organization to provide better customer service by giving customers access to their account information and providing personalized support.
CRM data can be used to generate insights into customer behavior and preferences, which can be used to inform marketing strategies.
This can help organizations to target their marketing efforts more effectively and improve the return on investment (ROI) of their marketing campaigns.
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All of the following are types of stripping except? a.end terminations b. window cuts c. spiral cuts d. indent cuts
Answers
The option that is not a types of stripping is option d. indent cuts.
What are the types of cable stripping?
They are:
1. End termination
2. window cut
3. cut spiral cut
4.circumferential and longitudinal cuts
Wire Stripping is known to be a kind of act where there is the removing of the material information from any kind of cable or wire transfers, thus making it hard to identify.
Therefore, The option that is not a types of stripping is option d. indent cuts.
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En las zonas rurales el agua se extrae del subsuelo por medio de bombas, considere una fuente de agua subterránea cuya superficie está 60 m debajo del nivel del suelo. El agua se va elevar 5 m encima del nivel del suelo mediante una bomba y se tiene los siguientes datos:
Entrada Salida
Velocidad (m/s) 0. 637 0. 283
Entalpía (kJ/kg) 102. 5 152. 6
Flujo de masa (kg/s) 5 5
Gravedad es 9. 8 m/s2
Si el calor es despreciable. ¿Cuál es la potencia de la bomba (kJ/s)?
Answers
The necessary power of the pump for a steady flow of water at the rate of 15 Liters/second in kW is a) 9.54
How to calculate the powerFrom the information, in rural areas the water is extracted from the subsoil by means of pumps, consider an underground water source whose surface is 60 m below ground level. The water will be raised 5 m above the ground level by means of a pump.
The necessary power of the pump for a steady flow of water at the rate of 15 Liters/second in kW is:
= 636188 26 × 0.015
= 9.54kw
In conclusion, the power of the pump for a steady flow of water is 9.54kw.
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A representation of some aspect of the system being built is a ______.
a. requirement b. technique c. model d. user interface.
Answers
The correct answer is Option C. model. A representation of some aspect of the system being built is a model.
What term is used to describe a visual or conceptual representation of a specific part of the system?A model refers to a visual or conceptual representation of a specific aspect of the system being built. It serves as a means to understand and communicate various elements of the system, such as its structure, behavior, or functionality. Models can take different forms, including diagrams, prototypes, simulations, or mathematical equations.
They are essential tools in software development, engineering, and various other disciplines where complex systems are designed. By creating models, developers and stakeholders can gain insights into the system's characteristics, make informed decisions, and identify potential issues before investing time and resources into implementation.
Therefore, the correct answer is Option C. model.
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1.3. If the surface tension coefficient of a fluid is 0,07 N/m and the radius
of the droplet is 2,5 mm. calculate:
1.3.1 surface tension force
(2)
1.3.2 difference in pressure of the droplet
(1)
Answers
Answer:
A) F = 0.011 N
B) ΔP = 5.6 N/m²
Explanation:
We are given;
surface tension coefficient; S = 0.07 N/m
Radius; r = 2.5 mm = 0.025 m
A) Formula to find the surface tension force(F) is given by;
F = SL
Where L is effective length = 2πr
F = 0.07 × 2π × 0.025
F = 0.011 N
B) Formula for difference in pressure droplet is;
ΔP = 2S/r
Thus;
ΔP = (2 × 0.07)/0.025
ΔP = 5.6 N/m²
A student lives in an apartment with a floor area of 60 m2 and ceiling height of 1.8 m. The apartment has a fresh (outdoor) air exchange rate of 0.5/hr. The stove in the apartment heats by natural gas. The student cooks a meal using two gas burners that each emit carbon monoxide (CO) at a rate of 100 mg/hr. The outdoor CO concentration can be assumed to be negligible (0 ppm). The initial (time = 0) indoor CO concentration can be assumed to be 0 ppm (except for problem 4). Carbon monoxide can be considered as an inert gas, i.e., it does not stick to or react with any surfaces or other gases in air.
1. Assume that the student cooks for a long enough period of time to achieve a steady-state CO concentration in the apartment. What is that concentration in ppb?
2. Assume that the student cooks for only 45 minutes and turns off both burners at that time. What is the CO concentration in ppb at the end of 45 minutes?
3. Repeat problem 2 for air exchange rates that vary from 0.1 to 1/hr and plot the concentration at 45 minutes (in ppb) versus air exchange rate.
4. Assume that for the conditions of problem 2, the student waits 25 minutes after turning the burners off and then starts cooking again with two burners on. How long will it take to reach a concentration that is 95% of steady-state under this condition?
Note that you can actually address this question with an eloquent mathematical derivation (preferred) or simply by crunching the concentration profile in a spreadsheet.
What is the concentration at 95% of steady-state?
Compare your result with the time that would be required to reach 95% of steady-state had the initial indoor CO concentration been 0 ppm.
Answers
Answer:
4
Explanation:
Polarization: Unpolarized light passes through three ideal polarizing filters. The first filter is oriented with a horizontal transmission axis, the second one has its transmission axis at 30° from the horizontal, and the third filter has a vertical transmission axis. What percent of the light gets through this combination?
Answers
Answer:
the percentage of light that gets through this combination is 9.38
Explanation:
Given the data in the question;
Let us represent the incident unpolarized light with \(I_0\).
So, the amount of light intensity passing through the first polarizer will be;
\(I_1\) = \(I_0\) / 2 ------ let this be equation 1
An the amount of light intensity passing through the second polarizer will be;
\(I_2\) = \(I_1\)cos²θ
given that; the second one has its transmission axis at 30°
so, we substitute;
\(I_2\) = \(I_1\) × cos²( 30° )
\(I_2\) = \(I_1\) × 0.75
\(I_2\) = 0.75\(I_1\)
from equation; \(I_1\) = \(I_0\) / 2
\(I_2\) = 0.75( \(I_0\) / 2 )
\(I_2\) = 0.375\(I_0\) .
Now, the amount of light intensity passing through the third polarizer will be;
\(I_3\) = \(I_2\)cos² ( 90° - 30° )
\(I_3\) = \(I_2\) × cos²( 60° )
\(I_3\) = \(I_2\) × 0.25
we substitute
\(I_3\) = 0.375\(I_0\) × 0.25
\(I_3\) = 0.09375\(I_0\)
∴ \(I_3\)/\(I_0\) × 100 = 0.09375 × 100
⇒ 9.38%
Therefore, the percentage of light that gets through this combination is 9.38
Leland wants to work in a Production career operating heavy machinery. Which type of education or training should Leland seek?
a bachelor’s degree then a master’s degree
vocational school certificate or master’s degree
on-the-job training or vocational school certificate
associate’s degree then a bachelor’s degree
Answers
Answer:
it is indeed C
Explanation:
Answer:
c
Explanation:
Assignment 1: Structural Design of Rectangular Reinforced Concrete Beams for Bending
Perform structural design of a rectangular reinforced concrete beam for bending. The beam is simply supported and has a span L=20 feet. In addition to its own weight the beam should support a superimposed dead load of 0.50 k/ft and a live load of 0.65 k/ft. Use a beam width of 12 inches. The depth of the beam should satisfy the ACI stipulations for minimum depth and be proportioned for economy. Concrete compressive strength f’c = 4,000 psi and yield stress of reinforcing bars fy = 60,000 psi. Size of stirrups should be chosen based on the size of the reinforcing bars. The beam is neither exposed to weather nor in contact with the ground, meaning it is subjected to interior exposure.
• Use the reference on "Practical Considerations for Rectangular Reinforced Concrete Beams"
• Include references to ACI code – see slides from second class
• Include references to Tables from Appendix A
• Draw a sketch of the reinforced concrete beam showing all dimensions, number and size of rebars, including stirrups.
Answers
Answer:
Beam of 25" depth and 12" width is sufficient.
I've attached a detailed section of the beam.
Explanation:
We are given;
Beam Span; L = 20 ft
Dead load; DL = 0.50 k/ft
Live load; LL = 0.65 k/ft.
Beam width; b = 12 inches
From ACI code, ultimate load is given as;
W_u = 1.2DL + 1.6LL
Thus;
W_u = 1.2(0.5) + 1.6(0.65)
W_u = 1.64 k/ft
Now, ultimate moment is given by the formula;
M_u = (W_u × L²)/8
M_u = (1.64 × 20²)/8
M_u = 82 k-ft
Since span is 20 ft, it's a bit larger than the average span beams, thus, let's try a depth of d = 25 inches.
Effective depth of a beam is given by the formula;
d_eff = d - clear cover - stirrup diameter - ½Main bar diameter
Now, let's adopt the following;
Clear cover = 1.5"
Stirrup diameter = 0.5"
Main bar diameter = 1"
Thus;
d_eff = 25" - 1.5" - 0.5" - ½(1")
d_eff = 22.5"
Now, let's find steel ratio(ρ) ;
ρ = Total A_s/(b × d_eff)
Now, A_s = ½ × area of main diameter bar
Thus, A_s = ½ × π × 1² = 0.785 in²
Let's use Nominal number of 3 bars as our main diameter bars.
Thus, total A_s = 3 × 0.785
Total A_s = 2.355 in²
Hence;
ρ = 2.355/(22.5 × 12)
ρ = 0.008722
Design moment Capacity is given;
M_n = Φ * ρ * Fy * b * d²[1 – (0.59ρfy/fc’)]/12
Φ is 0.9
f’c = 4,000 psi = 4 kpsi
fy = 60,000 psi = 60 kpsi
M_n = 0.9 × 0.008722 × 60 × 12 × 22.5²[1 - (0.59 × 0.008722 × 60/4)]/12
M_n = 220.03 k-ft
Thus: M_n > M_u
Thus, the beam of 25" depth and 12" width is sufficient.
convert 127 centimeters to metres
Answers
Answer:
1.27
Explanation:
divide 127 by 100
Answer:
Explanation:
1 metre = 100 centimetre
127cm x 1m/100cm
127/100 = 1.27m
An evacuated tank is filled with gas from a constant pressure line. Develop an expression relating the temperature of the gas in the tank to the temperature of the gas in the line. Assume the gas is ideal with constant heat capacities, and ignore heat transfer between the gas and the tank.
Answers
The temperature of the gas in the tank is the ratio of heat capacities times the temperature of gas in the constant pressure line.
What is temperature?It should be noted that temperature simply means the measure of hotness and coldness in a body
From the given information, H is the enthalpy of gas on the constant pressure line, m is the mass flow rate and U is the internal energy of gas.
Here, the temperature of the gas in the tank is the ratio of heat capacities times the temperature of gas in the constant pressure line.
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