An interior beam supports the floor of a classroom in a school building. The beam spans 26 ft. and the tributary width is 16 ft. Dead load is 20 psf. Find:

a. Basic floor live load Lo in psf
b. Reduced floor live load L in psf
c. Uniformly distributed total load to the beam in lb/ft.
d. Compare the loading in part c with the alternate concentrated load requried by the Code. Which loading is more critical for bending, shear, and deflection.?

Answers

Answer 1

Answer:

a. [tex]L_o[/tex]  = 40 psf

b. L ≈ 30.80 psf

c. The uniformly distributed total load for the beam = 812.8 ft./lb

d. The alternate concentrated load is more critical to bending , shear and deflection

Explanation:

The given parameters of the beam the beam are;

The span of the beam = 26 ft.

The width of the tributary, b = 16 ft.

The dead load, D = 20 psf.

a. The basic floor live load is given as follows;

The uniform floor live load, = 40 psf

The floor area, A = The span × The width = 26 ft. × 16 ft. = 416 ft.²

Therefore, the uniform live load, [tex]L_o[/tex]  = 40 psf

b. The reduced floor live load, L in psf. is given as follows;

[tex]L = L_o \times \left ( 0.25 + \dfrac{15}{\sqrt{k_{LL} \cdot A_T} } \right)[/tex]

For the school, [tex]K_{LL}[/tex] = 2

Therefore, we have;

[tex]L = 40 \times \left ( 0.25 + \dfrac{15}{\sqrt{2 \times 416} } \right) = 30.80126 \ psf[/tex]

The reduced floor live load, L ≈ 30.80 psf

c. The uniformly distributed total load for the beam, [tex]W_d[/tex] = b × [tex]W_{D + L}[/tex] =

∴  [tex]W_d[/tex] =  = 16 × (20 + 30.80) ≈ 812.8 ft./lb

The uniformly distributed total load for the beam, [tex]W_d[/tex] = 812.8 ft./lb

d. For the uniformly distributed load, we have;

[tex]V_{max}[/tex] = 812.8 × 26/2 = 10566.4 lbs

[tex]M_{max}[/tex] =  812.8 × 26²/8 = 68,681.6 ft-lbs

[tex]v_{max}[/tex] = 5×812.8×26⁴/348/EI = 4,836,329.333/EI

For the alternate concentrated load, we have;

[tex]P_L[/tex] = 1000 lb

[tex]W_{D}[/tex] = 20 × 16 = 320 lb/ft.

[tex]V_{max}[/tex] = 1,000 + 320 × 26/2 = 5,160 lbs

[tex]M_{max}[/tex] =  1,000 × 26/4 + 320 × 26²/8 = 33,540 ft-lbs

[tex]v_{max}[/tex] = 1,000 × 26³/(48·EI) + 5×320×26⁴/348/EI = 2,467,205.74713/EI

Therefore, the loading more critical to bending , shear and deflection, is the alternate concentrated load


Related Questions

The steam requirements of a manufacturing facility are being met by a boiler whose rated heat input is 5.5 x 3^106 Btu/h. The combustion efficiency of the boiler is measured to be 0.7 by a hand-held flue gas analyzer. After tuning up the boiler, the combustion efficiency rises to 0.8. The boiler operates 4200 hours a year intermittently. Taking the unit cost of energy to be $4.35/10^6 Btu, determine the annual energy and cost savings as a result of tuning up the boiler.

Answers

Answer:

Energy Saved = 6.93 x 10⁹ Btu

Cost Saved = $ 30145.5

Explanation:

The energy generated by each boiler can be given by the following formula:

[tex]Annual\ Energy = (Heat\ In)(Combustion\ Efficiency)(Operating\ Hours)[/tex]

Now, the energy saved by the increase of efficiency through tuning will be the difference between the energy produced before and after tuning:

[tex]Energy\ Saved = (Heat\ In)(Efficiency\ After\ Tune - Efficiency\ Before\ Tune)(Hours)[/tex][tex]Energy\ Saved = (5.5\ x\ 3\ x\ 10^{6}\ Btu/h)(0.8-0.7)(4200\ h)[/tex]

Energy Saved = 6.93 x 10⁹ Btu

Now, for the saved cost:

[tex]Cost\ Saved = (Energy\ Saved)(Unit\ Cost)\\Cost\ Saved = (6.93\ x\ 10^{9}\ Btu)(\$4.35/10^{6}Btu)\\[/tex]

Cost Saved = $ 30145.5

F12-33. The ca . R has a speed of 55 ft/s. Determine the angular velocity 8 of the radial line OA at this instant.

Answers

Answer:

0.1375 rad/s

Explanation:

Speed of car = 55 ft/s

We are to find angular velocity, which is θ.

There are mistakes in this question. It should be θ not 8 and r = 400 ft

Radius r = 400ft

Speed = velocity = 55 ft/s

We Express transverse of velocity

Vθ = rθ

Vθ = 400θ

Then magnitude

V = √(Vr)²+(Vθ)²

55 = √0² + 400θ²

55 = √160000θ

55 = 400θ

We find the value of θ

θ = 55/400

= 0.1375rad/s

The angular velocityθ = 0.1375 rad/s

What causes the charging system warning lamp to go out when the engine starts up?
Select one:
a. It turns off when ground is supplied to the lamp.

b. It turns off because voltage is applied to both sides of the lamp.
c. It turns off automatically after about 5 seconds.
d. It turns off because voltage is applied to one side of the bulb and ground to the other side.

Answers

B is the answer I believe so

All of these are true about using adhesive EXCEPT:

Answers

Answer:

Except what? I'm confused

All of these are true about using adhesive except Bilateral. A bilateral contract is defined as an agreements between two parties in which each side agrees to fulfill his or her side of the bargain.

What is bilateral contract?

A bilateral contract is defined as an agreements between two parties in which each side agrees to fulfill his or her side of the bargain. According to my research on the different terms used when referencing an insurance contract, I can say that all of the answers provided except for Bilateral are considered typical characteristics describing the nature of an insurance contract.

Since an insurance contract is a fund that the insurance company pays in the case of an accident in which the person is injured, there is only one party that agrees to fulfill their side of the bargain and that is the insurance company.

Therefore, All of these are true about using adhesive except Bilateral. A bilateral contract is defined as an agreements between two parties in which each side agrees to fulfill his or her side of the bargain.

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Another name for a load-center distribution system is a A. primary radial system. B. complex radial system. C. split-radial system. D. dual-radial system.

Answers

Answer:

A

Explanation:

Primary radial system

I just need help on problem B

Answers

The problem b is An example of a law being implemented by bureaucratic agency is____
A. Congress passing legislation by major vote
B. OSHA deciding how hazardous substance should be stored
C. the USPS delivering mail throughout the country
D. A watchdog group blowing the whistle on government corruption

A contractor excavates 10,000 m3 soil at moist unit weight of 17.5 kN/m3 and moisture content of 10% from a borrow pit and transports it to a project site. The project has an area of 20,000 m2 to be filled with this compacted soil. If the required dry unit weight and moisture content of the compacted soil are 18.3 kN/m3 and 12.5% (assume there is no soil loss during transportation and compaction), what is the thickness of the compacted soil and how much water needs to be added?

Answers

Answer:

Part A

The thickness of the compacted soil is approximately 4.3467 × 10⁻¹ m

Part B

The weight of water to be added is approximately 19886.[tex]\overline{36}[/tex] kN, the volume of the water added is approximately 2,027.77 m³

Explanation:

The parameters of the soil are;

The volume of sol the excavator excavates, [tex]V_T[/tex] = 10,000 m³

The moist unit weight, W = 17.5 kN/m³

The moisture content = 10%

The area of the project, A = 20,000 m²

The required dry unit weight = 18.3 kN/m³

The required moisture content = 12.5%

Part A

Therefore, we have;

The moist unit weight = Unit weight = ([tex]W_s[/tex] + [tex]W_w[/tex])/[tex]V_T[/tex]

The moisture content, MC = 10% = ([tex]W_w[/tex]/[tex]W_s[/tex]) × 100

∴ [tex]W_w[/tex] = 0.1·[tex]W_s[/tex]

∴ The moist unit weight = 17.5 kN/m³ = ([tex]W_s[/tex] + 0.1·[tex]W_s[/tex])/(10,000 m³)

1.1·[tex]W_s[/tex] = 10,000 m³ × 17.5 kN/m³ = 175,000 kN

[tex]W_s[/tex] = 175,000 kN/1.1 = 159,090.[tex]\overline{09}[/tex] kN

For the required soil, we have;

The required dry unit weight = 18.3 kN/m³ = [tex]W_s[/tex]/[tex]V_T[/tex] = 159,090.[tex]\overline{09}[/tex] kN/[tex]V_T[/tex]

[tex]V_T[/tex] = 159,090.[tex]\overline{09}[/tex] kN/(18.3 kN/m³) ≈ 8,693.4923 m³

The total volume of the required soil ≈ 8,693.4923 m³

Volume [tex]V_T[/tex] = Area, A × Thickness, d

∴ d =  [tex]V_T[/tex]/A

d = 8,693.4923 m³/(20,000 m²) ≈ 4.3467 × 10⁻¹ m

The thickness of the compacted soil ≈ 4.3467 × 10⁻¹ m

Part A

The moisture content, MC = 12.5% = ([tex]W_w[/tex]/[tex]W_s[/tex]) × 100

[tex]W_w[/tex] = [tex]W_s[/tex] × MC/100 = 159,090.[tex]\overline{09}[/tex] kN × 12.5/100 = 19886.[tex]\overline{36}[/tex] kN

The weight of water to be added, [tex]W_w[/tex] = 19886.[tex]\overline{36}[/tex] kN

Where the density of water, ρ = 9.807 kN/m³

Therefore, we have;

The volume of water, V = [tex]W_w[/tex]/ρ

∴ V = 19886.[tex]\overline{36}[/tex] kN/(9.807 kN/m³) ≈ 2027.77 m³

The volume of water, V ≈ 2027.77 m³

[3] (25%) Superheated steam at 9 MPa and 480oC leaves the steam generator of a vapor power plant. Heat transfer and frictional effects in the line connecting the steam generator and the turbine reduce the pressure and temperature at the turbine inlet to 8.6 MPa and 440oC, respectively. The pressure at the exit of the turbine is 10 kPa, and the turbine operates adiabatically. Liquid leaves the condenser at 8 kPa, 35 oC. The pressure is increased to 9.6 MPa across the pump. The turbine and pump isentropic efficiencies are 85%. The mass flow rate of steam is 80 kg/s. Determine (a) the net power output, in kW. (b) the thermal efficiency (c) the rate of heat transfer from the line connecting the steam generator and the turbine, in kW. (d) the mass flow rate of the condenser cooling water, in kg/s, if the cooling water enters at 15oC and exits at 35oC with negligible pressure change.

Answers

The condenser is a device which is used thermal power plants to change the phase of the steam to liquid by releasing the latent heat to the surroundings.

The condenser in the Rankine cycle rejects heat to the surrounding or the flowing fluid at the constant pressure

A frequenter of a pub had observed that the new barman poured in average 0.47 liters of beer into the glass with a standard deviation equal to 0.09 liters instead of a half a liter with the same standard deviation. The frequenter had used a random sample of 47 glasses of beer in his experiment. Consider the one-sided hypothesis test for volume of beer in a glass: H0: u=0.5 against H1: u<0.5. Determine the P-value of this test.
Round your answer to four decimal places (e.g. 98.7654).

Answers

Answer:

P-value = 0.0011

Explanation:

Formula for the test statistic is;

z = (x¯ - μ)/(σ/√n)

We have;

Sample mean;x¯ = 0.47

Population mean; μ = 0.5

Standard deviation; σ = 0.09

Sample size; n = 47

Thus;

z = (0.46 - 0.5)/(0.09/√47)

z = -3.05

From z-distribution table attached, the p-value corresponding to z = -3.05 is;

P = 0.00114

To four decimal places gives;

P-value = 0.0011

Hard steering can be caused by

Answers

Answer:

Lack of fluid oil – lack of fluid oil in your vehicle, or a fluid leakage, can lead to heavy steering. If there is a lack of fluid oil, or a leak, this can reduce the pressure in the system, meaning the steering wheel does not receive enough supply of fluid to perform freely.

The most common cause of a stiff steering wheel is the lack of enough power steering fluid in the system. This condition can arise if there's fluid leakage from the pressurized hose area. Refilling the liquid in the power steering tank will fix the problem for the time being, but the leak must be taken care of.

Build a 32-bit accumulator circuit. The circuit features a control signal inc and enable input en. If en is 1 and inc is 1, the circuit increments the stored value by an amount specified by an input A[31:0] on the next clock cycle. If en is 1 and inc is 0 the circuit decrements the stored value by the amount specified in the input A on the next clock cycle. If en is 0, the circuit simply stores its current value without modification. The circuit has the following interface:______.
Input clock governs the state transitions in the circuit upon each rising edge.
Input clear is used as a synchronous reset for the stored value.
Input inc controls whether the value stored is to be incremented or decremented.
Input en is a control signal that activates the values increment/decrement
Input A determines how much to increment or decrement by
Output value is a 32-bit signal that can be used to read the stored value at any time.
* Note: Use any combination of combinational or sequential logic. It may be helpful to look into D Flip Flops and Registers.

Answers

Sorry need.points I'm new

You would like to use a 16-bit ADC to sample and digitally store a stack of vinyl music records you found in your parents’ basement. If the ADC is capable of sampling up to 25 kSamples/sec:________.
a) What is the minimum time required for each sample conversion?
b) How many bytes of storage would be required to record "Uptown Funk" by Bruno Mars and Mark Ronson (4 min, 22 sec) if the ADC is operating at the maximum sample rate?
c) If the highest frequency in "Uptown Funk" is 10 kHz, what is the minimum sampling rate that would need to be used to accurately reconstruct the song?
d) How many bytes of storage are required at this lower sampling rate?

Answers

Answer:

a) 40 micro sec

b) 13,100,000  bytes

c) 20,000 samples / sec

d) 10.48 Mbytes

Explanation:

a) The minimum time required for each sample conversion

minimum sample conversion time = max performance of ADC  ( 25 k samples /sec )

hence : 1 sample conversion time =  1 / 25k = 1/ 25000

hence minimum time required for each sample conversion time = 40 microsec

b) Determine the number of bytes of storage required to record if the ADC is operating at maximum sample rate

In 1 second the ADC  will produce 25000 * 2 bytes of data = 50000 bytes

audio length = 4 min 22 secs = 262 seconds

Hence the number of bytes of storage required =

= 262 * 50000 bytes

= 13,100,000  bytes

c) Determine the minimum sampling rate that would need to be used to accurately reconstruct the song

highest frequency = 10 kHz

hence the minimum sampling rate to reconstruct the song

= 2 * 10 kHz =  20,000 samples / sec

d) Determine The number of bytes of storage required at the lower sampling rate

given that the audio is sampled at 20kHz per sec then each sample will be encoded into a  2 bytes

therefore each each second of the audio will be generated by : 20,000 * 2 bytes

∴ the number of bytes of storage required at this lower sampling rate

= 262 secs * 40,000

= 10.48 Mbytes

Someone please help me I’m doing this for science and I only have a few minutes left please

Answers

Answer:

A

Explanation:

microorganisms must die, build up the sediment, heat and pressure needed to compress and form fossil fuels

A would be the answer you’re looking for.

Most methods of transportation rely on some sort of infrastructure to drive, steer, navigate, or direct at some point or another in a journey. Which category of transportation system is least reliant on infrastructure?(1 point)

Answers

Answer:

Most methods of transportation rely on some sort of infrastructure to drive, steer, navigate, or direct at some point or another in a journey. Which category of transportation system is least reliant on infrastructure?(1 point). road

Explanation:

The alternator must be operated with the battery disconnected or with the terminals at the back of the alternator
disconnected.
True or false

Answers

Answer:

true

Explanation:

True

I think so


Hope it helps

You have available three blocks of different material, at various temperatures. They are, respectively, a 2 kg block of iron at 600 K, a 3 kg block of copper at 800 K and a 10 kg block of granite at 300 K. The heat capacities for the three materials are 0.460 (iron), 0.385 (copper), and 0.790 (granite), in kj/(kg*K), all independent of temperature. For solids, the heat capacities at constant pressure and constant volume can be assumed to be equal, Cp=Cv. what is the minimum temperature that could be obtained in any one of the block? what is the maximum temperature that could be obtained? no heat or work interactions with the enviroment are allowed.

Answers

Answer:

max temp = 711.32 k

mini temp = 331.29 k

Explanation:

Given data:

2kg block of Iron : temperature = 600k , C = 0.460 kJ/kgk

3 kg block of copper : temp = 800k ,  C = 0.385 KJ /kgk

10 kg block of granite : temp = 300k , C = 0.790 KJ/kgk

Cp = Cv at constant pressure and constant volume

Determine the minimum temperature that is obtained in any one of the block

considering the heat transfer equation

Q = mC ( T2 - T1 )

attached below is a detailed solution of the problem

Calculate the resistance of a lamp if the current through it is 0.4 A and the voltage across it is 8 V.

Answers

Answer:

Answer is 3.2 Ω (Ohms)

Explanation:

From Ohms Law I = V/R

R = V(I)

R = 8(0.4)

R = 3.2

The resistance of a lamp if the current through it is 0.4 A and the voltage across it is 8 V is 3.2 ohm.

What is Ohm's Law?

According to Ohm's law, when all other physical parameters, including temperature, are held constant, the voltage across a conductor is directly proportional to the current flowing through it.

According to Ohm's Law, the electrical current I flowing through a particular conductor is precisely proportional to the potential difference (voltage) V across its ends (assuming that the conductor's physical properties, such as its temperature and pressure, stay constant). where R is a proportionality constant.

Given:

Current, I= 0.4 A

Voltage, V= 8 V

Using Ohm's Law

V= IR

I = V/R

R = V(I)

R = 8(0.4)

R = 3.2 ohm

Hence, the resistance of a lamp if the current through it is 0.4 A and the voltage across it is 8 V is 3.2 ohm.

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To convert a measurement in centimeters to
meters, you simply move the decimal point
a. two places to the left
b. three places to the right
c. three places to the left
do four places to the right

Answers

Answer:

a

Explanation:

To convert a measurement in centimeters to meters, simply move the decimal point two places to the left. Thus, the correct option is A). two places to the left.

What is the way to convert centimeters to meters and decimals?

There are 100 centimeters in every meter, which means that dividing the measurement in centimeters by 100 will convert it to meters. This conversion is very quick and easy by simply moving the decimal point in the measurement 2 spaces to the left.

The centimeter to meter conversion (cm to m) is basically, the conversion from centimeters to meters. One centimeter is approximately equal to 0.01 meter or we can say that one meter equals to 100 centimeters.

Simply, in order to convert cm to m, multiply the given centimeter value by 0.01 m. For example:- 5 cm = 5 x 0.01 m

                                     5 cm = 0.05 m

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Please help me it’s for science I only have a few minutes

Answers

Answer:

Rocks

Explanation:

I am not sure tho bc they are made out of coal and I think coal is a kind of rock

Answer:

I'm taking a guess for ya I shall say Metal or and Minerals

Explanation:

Good luck

How does the length and direction of a shadow change from sunrise to noon in the northern hemisphere? A: The shadow gets shorter and points more east B: The shadow gets shorter and points more north C: The shadow gets longer and points more north D: The shadow gets shorter and points more west E: The shadow gets longer and points more south F: The shadow gets longer and points more east

Answers

Answer: the answer is A

Explanation: because the sun rises in the west and goes down in the east

A Is the answerrrrrrr

if you are running and you fall and everyone↓↓↓↓↓↓↓ passes you how can you still be in first place??
ik the answer but lets see if you know it twooo

Answers

They either stopped or you already won..? I am not sure I am not smart enough for this

What is the tallest building ever made

Answers

Answer:

Burj Khalifa

Explanation:

The world's tallest artificial structure is the 829.8-metre-tall (2,722 ft) Burj Khalifa in Dubai (of the United Arab Emirates). The building gained the official title of "tallest building in the world" and the tallest self-supported structure at its opening on January 9, 2010.

a brainliest would be appriciated

Answer:

Burj khalifa

Explanation:

829.8 meters tall

QUESTION 4:
4.1
Name FOUR principles of kinetic friction ​

Answers

Answer:

The force of friction always acts in a direction, opposite to that in which the body is moving.

The magnitude of kinetic friction bears a constant ratio to the normal reaction between the two surfaces. ...

For moderate speeds, the force of friction remains constant.

Answer:

Explanation:Kinetic friction is a force that acts between moving surfaces. An object that is being moved over a surface will experience a force in the opposite direction as its movement. The magnitude of the force depends on the coefficient of kinetic friction between the two kinds of material.

You have been hired to design a control system for a nuclear reactor. The system monitors the temperature of the reactor using sensors at two points, A & C. If the temperature at either of these points rises past a certain level the sensor will toggle high. A sudden blackout would be disruptive so an override lever, B, is installed to keep the plant running when one of the sensors are tripped until a maintenance team can come in. If both sensors trip, the plant will shut down regardless of the override lever. Assume that the output - a plant shutdown - is represented as a logic
Assume that it takes only one sensor to toggle high for the plant shutdown if the override lever is not activated. Assume B=1 indicates the override lever has been activated.
Construct the truth table for the control system.

Answers

Solution :

B       A       C                     Shutdown (V)

0       0        0                        0

0       0        1                         0

0       1         0                        0

0       1         1                         1

1       0         0                        0

1       0         1                        1

1       1          0                       1

1       1          1                        1

[tex]$Y = A + A\bar B \bar C+\bar A \bar B C$[/tex]

[tex]$Y = \bar B A C + BAC+ \bar B A \bar C + \bar B \bar A C$[/tex]

A runner ran a 600 m race in 2 min 17 seconds. Calculate his average speed in m/sec.

Answers

I say it may be 13.7

what are difference between conic sectional and solids?

Answers

Answer:

Conic Sections

a conic section is a curve which is obtained when a surface performs an intersection with a plane. The types of conic sections include hyperbola, parabola and ellipse. A circle can also be considered as a conic section.

Conic Solids on the other hand are the set of points on any segment between a region and a point which is not present in the plane of the base. They are solids with one base.

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

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Please help I don't understand this math question! Solve each system by substitution. 7x + 2y = 192y 21 = x Tropic hormones:stimulate the pineal glandstimulate other endocrine glandsstimulate the thymus glandstimulate nervous tissue a.1. You touch a shopping cart in the grocery store parking lot. What type of heattransfer is happening between your hand and the handle?Conductionb. ConvectionC. Radiationd. Thermal Equilibrium What is the equation of the line in slope intercept form? PLSSS!! ANWSER What religious text did Muhammed write? The design of a work of art influences thea. contentb. subject matterc. form d. composition 8 Cloning is one type of biotechnology. Which of these choices is an example ofcloning?A Certain chickens are bred for their distinctive feather color.B Several copies of a fruit fly gene are produced in a laboratory.C Plants with red flowers are bred with plants with blue flowers.D Yeast cells are placed under an ultraviolet lamp, causing their DNA to mutate. You have the right to remain silent and refuse to answer questions. Anything you do or say may be used against you in a court of law. You have the right to consult an attorney before speaking to the police and to have an attorney present during questioning now or in the future. If you cannot afford an attorney, one will be appointed for you before any questioning if you wish. If you decide to answer questions now without an attorney present you will still have the right to stop answering at any time until you talk to an attorney.The rights above are read to those who are arrested. Which Supreme Court decision made this procedure standard? A. Olmstead v. United States B. Griswold v. Connecticut C. Gideon v. Wainwright D. Miranda v. Arizona Calculate wavelength of tube of length 15, 18, 20 cm. How do I ask questions Lilya bought 3 donuts for $2.97. At this rate, how much would 10 donuts cost? Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y2=x,x=2yy 2 =x,x=2y; about the y-axis ANSWER ASAP!!!!!!!Which variable captures the fact that a person is spontaneous or flexible?A. sensesB. judgmentC. perceptivenessD. feelingE. intuition y-2=-5(x-2) slope intercept form the complete subject of the following sentences is ,and the complete predicate is Much saved $6 on a $40 pair of pants plz help this is so hard What is the short form used to illustrate a rhyme scheme?A. A list of line numbersB. A series of capital lettersC. A brief description of how each line rhymesD. A set of special punctuation marks that show a pattern Please help me on this.