ind support reactions at a and d and then calculate the axial force n, shear force v, and bending moment m at mid-span of ab. let l 5 14 ft, 12 lb/ft 0 q 5 , p 5 50 lb, and 300 lb-ft

Answers

Answer 1

To find the support reactions at points A and D, we can use the principles of static equilibrium. At point A, there is a vertical reaction force (Ra) and a horizontal reaction force (Ha). At point D, there is only a vertical reaction force (Rd).

Step 1: Calculate the vertical reaction force at point A (Ra)
Taking moments about point D:
- (12 lb/ft * 14 ft) + (50 lb * 7 ft) + (300 lb-ft) - (Ra * 14 ft)

= 0
- Solving for Ra, we get: Ra

= 150 lb

Step 2: Calculate the horizontal reaction force at point A (Ha)
Since there are no horizontal forces acting on the beam,

Ha = 0.

Step 3: Calculate the vertical reaction force at point D (Rd)
By using the principle of vertical equilibrium:
- Rd = (12 lb/ft * 14 ft) + (50 lb) - Ra
- Rd = (12 lb/ft * 14 ft) + (50 lb) - 150 lb
- Rd = 38 lb

To calculate the axial force (N), shear force (V), and bending moment (M) at mid-span of AB, we can use the equations for a simply supported beam with a uniformly distributed load.

Step 4: Calculate the axial force (N)
N = Ra + Rd
N = 150 lb + 38 lb
N = 188 lb

Step 5: Calculate the shear force (V)
V = (12 lb/ft * 7 ft) - (50 lb) - (300 lb-ft / 14 ft) * 7 ft
V = 84 lb - 50 lb - 150 lb
V = -116 lb

Step 6: Calculate the bending moment (M)
M = (12 lb/ft * 7 ft * (7 ft / 2)) - (50 lb * 7 ft) - (300 lb-ft)
M = 588 lb-ft - 350 lb-ft - 300 lb-ft
M = -62 lb-ft

bending moment (M) is -62 lb-ft.

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Related Questions

In a combination circuit, current can flow in part of a parallel circuit while another part of the circuit is turned off. true false

Answers

Answer:

no false

Explanation: all bench are ame current.

Analyse how BIM can support the delivery of construction projects in a more sustainable manner.

Answers

Building Information Modelling (BIM) can support the delivery of construction projects in a more sustainable manner by enabling designers, engineers and builders to collaborate more effectively and make more informed decisions throughout the project lifecycle.

By creating a digital model of the building, BIM can help to identify and address potential sustainability issues, such as energy consumption and waste reduction, at an early stage. BIM also enables the integration of sustainable materials and technologies, which can help to reduce the environmental impact of the building. Additionally, BIM can support the efficient use of resources, such as water and energy, by providing accurate information about the building's performance. In conclusion, BIM can play a vital role in the delivery of construction projects in a more sustainable and environmentally responsible manner.

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technician A says that many port fuel-injection systems on four-cylinder engines use a simultaneous firing of injectors. Technician B says that sequential fuel injectors are timed and pulsed individually, much like the spark plugs are sequentially operated in firing order of the engine. Who is correct

Answers

In the two scenario above concerning port fuel-injection and sequential fuel injectors, only Technician b is correct.

How many injectors can be found in a 4 cylinder?

A vehicle often has one fuel injector per cylinder and if one has a four-cylinder car, it would also have four fuel injectors.

Note that Fuel-pressure regulators that are found on a port fuel-injected systems is one that often work with injector pressures that is said to be of 30 to 55 PSI.

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What is a transition? A. An animation that happens on a single slide B. An outline format that uses roman numerals C. An image file imported to a title slide D. An effect that happens between slides Please select the best answer from the choices provided A B C D

Answers

Answer:

its c

Explanation:

Use NORTHWIND database to perform following queries:
13. Get the Order Count by (Table:Orders)
I. Each Year (Hint: YEAR() function)
ii. Each quarter in each year (Hint: research on DATEPART() function)
iii. Each Month in each year (Hint: research on DATEPART() function)
14. Calculate Average, Total, Minimum, and Maximum Frieght paid (Table:Orders)
i. For each Order
ii. For each Company
iii. For each Country on all orders
iiv. for Each Carrier (ShipVia)

Answers

Get the Order Count by (Table: Orders)

I. Each Year (Hint: YEAR() function)ii. Each quarter in each year (Hint: research on DATEPART() function)iii. Each Month in each year (Hint: research on DATEPART() function)How can I retrieve the order count for each year, each quarter in each year, and each month in each year from the Orders table?

To retrieve the order count for each year, each quarter in each year, and each month in each year from the Orders table in the NORTHWIND database, you can use the YEAR() function to group the orders by the year portion of the OrderDate column.

This will provide the order count for each year. To obtain the order count for each quarter in each year, you can use the DATEPART() function to group the orders by both the year and quarter portions of the OrderDate column. Lastly, to get the order count for each month in each year, you can again use the DATEPART() function to group the orders by both the year and month portions of the OrderDate column. These queries will help you analyze the order count trends over different time periods within the database.

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under new york law, how far from shore must a pwc be if it is going faster than 5 mph?

Answers

Under New York law, a personal watercraft (PWC) must be at least 500 feet away from the shore or any dock, pier, buoy, or person in the water when operating at speeds greater than 5 miles per hour. This distance is commonly known as the "no-wake" zone.

The purpose of this law is to ensure the safety of swimmers, boaters, and other watercraft users by minimizing the risk of collisions and accidents caused by excessive speed. Additionally, it helps to prevent damage to shorelines and other structures caused by waves generated by fast-moving watercraft.

It's important for PWC operators to be aware of this law and to adhere to it to avoid potential fines and legal consequences, as well as to ensure the safety of themselves and others on the water.

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Driving next to another vehicle can sometimes take away the option to _____.
A. steer around a hazard
B. improve your mileage
C. conduct your scan
D. manage your tire wear

Answers

Answer: A. steer around a hazard

Explanation: say there was a vehicle next to you on your left and there was a pile of rocks it would prevent you from steer from going straight but instead have you steer around the rocks and cross into another lane that’s what it said in the lesson

Driving next to another vehicle can sometimes take away the option to A. steer around a hazard

What are Traffic Rules?

This refers to the rules and regulations that guide road users and pedestrians to ensure their safety.

Hence, we can see that when driving on the road next to another vehicle, the option to steer around a hazard is taken away, and hence, it is not advisable to do this.

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Question 47 Marks: 1 General overall policy planning includes all of the following exceptChoose one answer. a. aspirations and realistic objectives b. detailed engineering and specific architectural project plans c. identification of goals d. establishment of functional priorities

Answers

b. detailed engineering and specific architectural project plans

General overall policy planning involves setting aspirations and realistic objectives, identifying goals, and establishing functional priorities. It is a high-level strategic process that provides direction and guidance for an organization or government. However, detailed engineering and specific architectural project plans are more related to implementation and operational activities, rather than strategic planning. These plans are typically developed after the general policy planning has been completed and provide more specific guidance on how to achieve the identified goals and objectives. Therefore, b. is the correct answer as it does not fit within the scope of general overall policy planning.

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You installed a new 40 gallon water heater with a 54,000 BTUh burner. The underground water temperature coming into the house is 55FHow long will it take to heat the water in the tank to a normal setting of 120F.Please show setup and calculations.

Answers

14256000. Kanjiuijhgg
54000-40=5360+120=5480x55=301400

Liquid water flows isothermally at 20°C through a one-inlet, one-exit duct operating at steady state. The duct’s inlet and exit diameters are 0.02 m and 0.1 m, respectively. At the inlet, the velocity is 10 m/s and pressure is 1 bar. At the exit, determine the mass flow rate, in kg/s, and velocity, in m/s.

Answers

The continuity equation allows finding the results for the speed and flow of the outlet pipe are:

 Q = 3.14 kg / s  v₂ = 0.4 m / s

Fluid mechanics studies the movement and fluid dynamics, it is described  by two fundamental relationships:

The Bernoulli equation that an expression of the energy conservation  

          \(P_1 + \frac{1}{2} \rho v_1^2 + \rho g y_1 = P_2 + \frac{1}{2} \rho v_2^2 + \rho g y_2\)  

Where P is the pressure, v the velocity, y the height, the subscripts are two selected points of interest in the pipe.

The continuity equation which is an expression that our principle of mass conservation for fluids

            \(A_1v_1 = A_2 v_2\)

Where A₁ and A₂ is the area of ​​the inlet and outlet pipes and v₁ and v₂ are the velocities of the fluid at the inlet and outlet

They indicate the inlet and outlet diameters of the pipe are d₁ = 0.02 m and d₂ = 0.1 m, the inlet velocity v₁ = 10 m / s, with the continuity equation let's find the outlet velocity

         \(v_2 = ( \frac{A_1}{A_2} )^2 \ v_1\)  

the cross section of the tavern is

        A = \(\pi r^2 = \pi \ d^2/4\)  

Where r is the radius and d is the diameter

Let's substitutes

         

        \(v_2 = (\frac{d_1}{d_2} )^2 \ v_1\)  

        \(v_2 = (\frac{0.02}{0.1} )^2 \ 10\)  

        v₂ = 0.4 m / s

The flow  (Q) is defined as the amount of liquid that passes through the section of the pipe per unit of time, we can see that this is the same conservation of mass, therefore

        Q = A v

        Q = \(\pi \frac{d_2^2}{4} \ v_2\)π d2 ^ 2 v2

        Q = \(\pi \ \frac{0.1^2}{4} \ 0.4\)

        Q = 3.14 10⁻³ m ^ 3 / s

As the transported liquid is water

         1 liter water = 1 kg

Consequently

         1 m³ = 1000 liter = 1000 kg of water

Let's reduce the flow

         Q = 3.14 10⁻³ m³/s ( \(\frac{10^3 kg}{1 m^3}\) )

         Q = 3.14 kg / s

In conclusion using the continuity equation we can find the results for the speed and flow of the outlet pipe are:

 v₂ = 0.4 m / s  Q = 3.14 kg / s

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Question 2 Resilience engineering is concerned with adverse external events that can lead to system failure. Resilient systems are flexible and adaptable so that they can cope with the unexpected. As a software engineer you need to educate system developers of four characteristics as outlined by Hollnagel (2010) that reflect the resilience of an organisation. Make sure to also include an example for each characteristic

Answers

These four characteristics, as outlined by Hollnagel (2010), are critical in developing resilient systems that can cope with unexpected situations and adverse external events. Software engineers must educate system developers about these characteristics to develop more resilient systems.

Resilience engineering is about developing adaptable systems that can handle unexpected situations and are able to cope with the effects of adverse external events that might cause system failure. As a software engineer, you need to inform system developers about the following four characteristics that reflect the resilience of an organization, as described by Hollnagel (2010):Maintainability: This characteristic reflects the degree to which a system can be maintained or repaired after it has been damaged. In other words, it assesses the system's ability to remain in good working order or quickly recover from damage. An example of maintainability would be the ability to quickly repair an engine that has been damaged during an accident.Flexibility: This characteristic reflects the degree to which a system can be modified or adapted to cope with changing circumstances. Flexibility is essential for resilience because it enables a system to respond to new challenges and adapt to different circumstances. An example of flexibility would be the ability to change the specifications of a car to adapt to different driving conditions.Redundancy: This characteristic reflects the degree to which a system can continue to function even if some of its components fail. Redundancy is important because it ensures that the system can continue to operate even if one or more components are not working properly. An example of redundancy would be having a backup generator in case the primary generator fails.Responsiveness: This characteristic reflects the degree to which a system can respond to changing circumstances or threats. Responsiveness is important because it enables a system to quickly and effectively respond to unexpected events. An example of responsiveness would be the ability of an air traffic control system to quickly respond to changing weather conditions to ensure the safety of airplanes in the area.

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In general, the edges of interior concrete floor slab panels warp upward due to a ___________________________________ between the top and bottom of the slab. A. Difference in consolidation efficiency B. Moisture difference C. Strength difference D. Temperature difference

Answers

In general, the edges of interior concrete floor slab panels warp upward due to a temperature difference between the top and bottom of the slab.

The expansion and contraction of concrete are influenced by temperature variations. When there is a temperature difference between the top and bottom of a concrete floor slab, it can cause the slab to warp upward at the edges. This phenomenon is known as thermal curling.

Concrete is a material that expands when heated and contracts when cooled. The top surface of a concrete slab is often exposed to different temperatures than the bottom surface, especially in interior environments where heating or cooling systems may be present. As a result, the top surface of the slab experiences different thermal expansion and contraction compared to the bottom surface.

When the top surface of the slab is subjected to higher temperatures than the bottom surface, it expands more than the bottom surface, leading to upward warping at the edges. This occurs because the top surface is restricted by the adjacent panels or walls, preventing it from expanding freely.

Therefore, the temperature difference between the top and bottom of the concrete slab is the main cause of the upward warping or curling of the edges in interior concrete floor slab panels.

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noooo plssschvwekjshdjkshdjkshdjksahdk

Answers

Huh? Kffjkdkdodjenxkrkdkre

Answer:

chehdhfhfhd

Explanation:

fjrjshrhdhr

It is important to follow correct procedures when running electrical cables next to data cables inorder to protect against which environmental concern?
a. humidity
b. electromagnetic interference
c. temperature
d. airflow

Answers

Answer:

D. Electromagnetic Interference

Explanation:

Electromagnetic interference, also known as radio-frequency interference is when electrical cables put out electromagnetic fields. Temperature, airflow, and humidity are all important parts of environmental control, but they do not affect data cabling, whereas electromagnetic interference can.

In order to prevent against environmental concerns related to     electromagnetic interference, it is crucial to follow the safety procedures while running electrical cables close to data cables. The choice is b).

What is the scientific definition of temperature?

The associated with the motion energy of particles in an item is measured by its temperature. The velocity of these particles likewise increases as the temperature rises. Using a thermostat or a calorimeter, one may determine the temperature.

Data cabling and other uninsulated equipment can have problems due to electromagnetic interference, which occurs when electronic items or cabling emit electromagnetic pulses.

Although crucial components of environmental management, ventilation, humidity, and temperature do not affect data cabling.

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a) Sketch a typical GSM TDMA frame. b) What are the functions of the Tail bits, stealing bits, Training sequence, and the guard bits. c) Enumerate all the possible scenarios by which the data bits in a frame can be used.

Answers

1) the sketch of thetypical GSM TDMA frame is attached accordingly.

2) a) Tail bits -  Provide synchronization and signal recovery in frame transmission.

b) Stealing bits -  Control purposes   by taking bits from payload data.

c) Training sequence -  Predefined patterns for channel estimation and synchronization.

d) Guard bits -  Reduce interference and fading effects in communication channels.

e) Data bits scenarios -  Transmit user data, control info, error correction codes, etc.

What is the explanation for the above?

a) Tail bits -  Tail bits are used indigital communications to ensure proper synchronization and signal recovery by providing a known pattern at the end of a frame.

b) Stealing bits -  Stealing   bits are used in certain encoding schemes to steal bits from the payload for control purposes, such as error detection or channel coding.

c) Training sequence -  Training sequences are predefined patterns inserted in a data frame tofacilitate channel estimation, equalization, or synchronization in communication systems.

d) Guard bits -  Guard   bits, also known as guard intervals, are inserted between symbols or frames to mitigate the effects of inter-symbol interference or multipath fading in communication channels.

e) Possible scenarios for   data bits usage -  Data bits in a frame can be used for various purposes, including transmitting user data, control information, error correction codes,synchronization markers, addressing, or any other relevant information needed for the specific communication protocol or application.

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Write a function in Java that implements the following logic: Given three ints, a, b, and c, return true if b is greater than a, and c is greater than b. However, with the exception that if bok is true, does not need to be greater than a

Answers

This function takes in three ints, a, b, and c, and uses the Math.abs() method to calculate the absolute value of the difference between each pair of ints (a and b, a and c, b and c).

What is java function?

The function that takes in three ints, a, b, and c, and uses the Math.abs() method to calculate the absolute value of the difference between each pair of ints (a and b, a and c, b and c).

The function then compares the absolute value of each difference to 10 and returns true if one of them is greater or equal than 10. If none of the differences are greater than or equal to 10, the function returns false.

Therefore, This function takes in three ints, a, b, and c, and uses the Math.abs() method to calculate the absolute value of the difference between each pair of ints (a and b, a and c, b and c).

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For what type of metal is high speed steel drill best suited?

Answers

ANSWER-
I believe it would be high speed steel

Answer:

high speed steel I believe

How many ase certifications are there for automotive technicians?

Answers

Answer:

There are 50 ASE certification tests, covering almost every imaginable aspect of the automotive repair and service industry.

Explanation:

yww <33

There are a total of  50 certifications for automotive technicians.

How to determine the number of certifications

in September 2021, the National Institute for Automotive Service Excellence (ASE) offers a total of 50 certifications for automotive technicians.

These certifications cover various areas of specialization, including engine repair, electrical systems, brakes, suspension and steering, heating and air conditioning, and more.

Each certification requires passing a written exam and meeting specific work experience requirements

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If there is a discrepancy between Chick-fil-A food safety requirements and local Health Department
regulations, what should Team Member do?

Answers

It is important to follow both Chick-fil-A food safety requirements and local Health Department regulations. If there is a discrepancy between the two, always follow the more stringent requirement. Any other appearance or grooming issue not covered in these materials may be addressed at the discretion of the Operator.

The following should be done by the team member:

It is important to follow both Chick-fil-A food safety requirements and local Health Department regulations. In the case when there is a discrepancy between the two, always follow the more stringent requirement. Any other appearance or grooming issue not covered in these materials may be addressed at the discretion of the Operator.

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Why can’t we find all errors before we give the software to our customers?

Answers

Explanation:

what is protozoa define it with diagram srt-nhev-mvp

i m n * de

HELP I NEED HELP!!!111!11!111 WILL GIVE BRAINLIEST AND 69 POINTS
Which processes result in the release of carbon? Select three options.

Animals break down food molecules to obtain energy.
The remains of producers are broken down by decomposers.
The remains of consumers are broken down by soil decomposers.
Producers take in carbon dioxide.
Producers make sugars and starches.

Answers

It would be Animals break down food molecules to obtain energy, the remains of producers are broken down by decomposers, and producers make sugar and starches.
A, B, and E.

Answer:

It is A. B. and C.

Explanation:

Hope this helps

What type of drill bit can produce a blind hole with a flat bottom

Answers

Answer:

end mill 4 flute

Explanation:

you can simply hook it up

tech a says that a slightly lean mixture offers good fuel economy and low exhaust emissions. Tech b says that a mixture that is too rich fouls spark plugs and causes incomplete burning. Who is correct

Answers

Answer:Both Techs A and B are correct. The correct option is C.
Explanation:
Exhaust emissions are gases that are expelled from vehicle engines and they include carbon monoxide, unburned fuel, nitrogen oxides and particulate matter such as mercury. These emissions can cause air pollution and green house effects which leads to climate changes. Low exhaust emissions can be achieved through the use of lean mixtures which has high air- fuel ratio and less emission. Therefore, Tech A is correct.
Rich mixtures are mixtures that are of low air- fuel ratios and it's burning in a diesel engine increases particulate matter emission, fouls spark plugs, causes incomplete burning. Therefore Tech B is equally correct. Hope this helps, thanks.

(c) The following data is available for the measurement of chordal thickness of a gear having an involute profile: the number of teeth = 32, addendum circle diameter = 136 mm, and pressure angle = 20°. Determine the chordal height to which the gear tooth caliper should be [3 mark] set during measurement.​

Answers

The gear tooth caliper should be set to a chordal height of approximately 1.89 mm during the measurement of the gear's chordal thickness.

To determine the chordal height for the measurement of the gear's chordal thickness, we can use the following steps:

1. Calculate the base circle diameter:

  The base circle diameter (Db) can be found using the formula:

  Db = Addendum Circle Diameter / cosine(pressure angle)

  Substituting the given values, we get:

  Db = 136 mm / cosine(20°)

  Db ≈ 143.07 mm

2. Calculate the circular pitch:

  The circular pitch (P) is given by the formula:

  P = π * Db / number of teeth

  Substituting the values, we have:

  P = π * 143.07 mm / 32

  P ≈ 14.17 mm

3. Calculate the chordal height:

  The chordal height (Ch) is given by the formula:

  Ch = 2 * addendum * sin(half of the circular pitch)

  The addendum can be found using the formula:

  Addendum = P / (2 * π)

  Substituting the values, we have:

  Addendum = 14.17 mm / (2 * π)

  Addendum ≈ 2.26 mm

  Now, calculating the chordal height:

  Ch = 2 * 2.26 mm * sin(0.5 * 14.17 mm)

  Ch ≈ 1.89 mm

Therefore, the gear tooth caliper should be set to a chordal height of approximately 1.89 mm during the measurement of the gear's chordal thickness.

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creating a shared folder structure what tool will you use to create the shares? why?

Answers

To create a shared folder structure, I would use a file server such as Microsoft Windows Server or Linux Samba Server.

Microsoft Windows Server or Linux Samba Server have built-in sharing capabilities that allow you to create shared folders and set permissions for different users or groups. They also provide centralized management and monitoring of shared resources, ensuring that access is secure and efficient. Additionally, file servers can integrate with Active Directory or LDAP to streamline user authentication and authorization processes.

Overall, using a file server is the most practical and effective way to create a shared folder structure in an organization.

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Consider a condenser in which steam at a specified temperature is condensed by rejecting heat to the cooling water. If the heat transfer rate in the condenser and the temperature rise of the cooling water is known, explain how the rate of condensation of the steam and the mass flow rate of the cooling water can be determined. Also, explain how the total thermal resistance R of this condenser can be evaluated in this case.

Answers

Answer:

Q = [ mCp ( ΔT) ] \(_{cooling water }\)

(ΔT)\(_{cooling water}\) and  Q  is given

\(m_{cooling water}\)  = \(\frac{Q}{Cp[ T_{out} - T_{in} ] }\)

next the rate of condensation of the steam

Q = [ m\(h_{fg}\) ]\(_{steam}\)

  \(m_{steam} = \frac{Q}{h_{fg} }\)

Total resistance of the condenser is

R = \(\frac{Q}{change in T_{cooling water } }\)

Explanation:

How will the rate of condensation of the steam and the mass flow rate of the cooling water can be determined

Q = [ mCp ( ΔT) ] \(_{cooling water }\)

(ΔT)\(_{cooling water}\) and  Q  is given

\(m_{cooling water}\)  = \(\frac{Q}{Cp[ T_{out} - T_{in} ] }\)

next the rate of condensation of the steam

Q = [ m\(h_{fg}\) ]\(_{steam}\)

  \(m_{steam} = \frac{Q}{h_{fg} }\)

Total resistance of the condenser is

R = \(\frac{Q}{change in T_{cooling water } }\)

given an aligned carbon fiber reinforced composite with a nylon 6,6 polymer matrix, which have tensile strengths of 4000 and 76 mpa, respectively, what volume fraction of fibers are needed to achieve a tensile strength of 200 mpa when a longitudinal load is applied (i.e. load is parallel to the fiber direction)?

Answers

\(V_{F}\) (Volume Fraction) will be 0.14436 and Tensile strength weill be 620.222 MPa.

What is Tensile strength?

Tensile strength is a material's ability to withstand a pulling (tensile) force and refers to a material's breaking strength when a force capable of breaking many strands of the material simultaneously is applied at a constant rate of extension/load. It is typically expressed in units of force per cross-sectional area.

Tensile strength is the amount of load or stress that a material can withstand before stretching and breaking. Tensile strength, as the name implies, is a material's resistance to tension caused by mechanical loads applied to the material. One of the most important and widely measured properties of structural materials is their ability to resist breaking under tensile stress.

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2. A silo (base not included) is to be constructed in the form of a cylinder surmounted by a hemisphere. The cost of construction per square unit

of surface area is twice as great for the for the hemisphere as it is for the cylindrical side wall. Determine the dimensions to be used if the volume is fixed and the cost of construction is to be kept to a minimum. Neglect the thickness of the silo and waste in construction.​

Answers

An extremum is a point where the function has its highest or lowest value, and at which the slope is zero.

The dimensions to be used if the volume is fixed and the cost of construction is to be kept to a minimum is as follows;

Height of cylinder = 2 × Radius of cylinder

Reason:

The given parameters are;

Form of silo = Cylinder surmounted by a hemisphere

Cost of construction of hemisphere per square unit = 2 × The cost of of construction of the cylindrical side wall

Required:

The dimensions to be used if the volume is fixed and the cost of construction is to be kept to a minimum

Solution:

The fixed volume of the silo, V, can be expressed as follows;

\(V = \pi \cdot r^2 \cdot h + \dfrac{2}{3} \cdot \pi \cdot r^3\)

\(h = \dfrac{V - \dfrac{2}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 }\)

Where;

h = The height of the cylinder

r = The radius of the cylinder

The surface area is, Surface Area = 2·π·r·h + 2·π·r²

The cost, C = 2·π·r·h + 2×2·π·r² = 2·π·r·h + 4·π·r²

Therefore;

\(C = 2 \times \pi \times r\times \dfrac{V - \dfrac{2}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 } + 4 \cdot \pi \cdot r^2 = \dfrac{8 \cdot r^3 \cdot \pi + 6 \cdot V}{3 \cdot r}\)

\(C = \dfrac{8 \cdot r^3 \cdot \pi + 6 \cdot V}{3 \cdot r}\)

At the minimum value, we have;

\(\dfrac{dC}{dr} =0 = \dfrac{d}{dr} \left(\dfrac{8 \cdot r^3 \cdot \pi + 6 \cdot V}{3 \cdot r} \right) = \dfrac{16 \cdot r^3 \cdot \pi - 6 \cdot V}{3 \cdot r^2}\)

Which gives;

16·π·r³ = 6·V

\(V = \dfrac{16 \cdot \pi \cdot r^3}{6} = \dfrac{8 \cdot \pi \cdot r^3}{3}\)

Which gives;

\(h = \dfrac{\dfrac{8 \cdot \pi \cdot r^3}{3} - \dfrac{2}{3} \cdot \pi \cdot r^3 }{\pi \cdot r^2 } = 2 \cdot r\)

h = 2·r

The height of the silo, h = 2 × The radius, 2

Therefore, the dimensions to be used if the volume is fixed and the cost is to be kept to a minimum is, height, h = 2 times the radius

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Does somebody know how to do this?

Does somebody know how to do this?

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No I don’t sorry, I hope you do well

According to the tds relations, the specific entropy change of air when it is heated from t1 to t2 while executing an isobaric process is:_____.

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Main answer: The specific entropy change of air during an isobaric process from temperature t1 to t2 is constant.

During an isobaric process, the pressure of the system remains constant. The specific entropy change (Δs) of air can be calculated using the equation:

Δs = Cp * ln(t2/t1)

Where Cp is the specific heat at constant pressure. In this case, since the process is isobaric, Cp remains constant. Therefore, the specific entropy change is directly proportional to the natural logarithm of the ratio of the final temperature (t2) to the initial temperature (t1).

This means that regardless of the actual values of t1 and t2, the specific entropy change during an isobaric process will always be the same. The specific entropy change is solely determined by the ratio of the temperatures and does not depend on the actual values of the temperatures themselves.

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