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Nitin Arora

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Answer:

See below

Step-by-step explanation:

To calculate the AASHTO distribution factors for the moment and shear in the interior girders of the bridge, we need to know the lane configuration and load distribution. Assuming a standard AASHTO design truck with a single design lane loaded, the distribution factors can be calculated as follows:

1) Shear Distribution Factor:

The shear distribution factor for the interior girder can be calculated using the formula:

SDF = ((2/3)(b1/d))(1+((4b2)/(3d))) where b1 is the width of the loaded lane, b2 is the distance between the loaded lane and the adjacent lane, and d is the distance from the centerline of the interior girder to the centerline of the adjacent girder.

Assuming a lane width of 12 feet and a spacing between the lanes of 12 feet,

we have: b1 = 12 feet = 144 inches b2 = 12 feet = 144 inches d = (120/2)cos(45) - 20 inches = 43.3 inches

Plugging these values into the formula, we get:

SDF = ((2/3)(144/56))(1+((4144)/(356))) = 2.95

2) Moment Distribution Factor: The moment distribution factor for the interior girder can be calculated using the formula:

MDF = ((1/3)(b1/d))(1+((b2/d)((2(b2/d))-1))) where b1, b2, and d are the same as above.

Plugging the values into the formula, we get: MDF = ((1/3)(144/56))(1+((144/56)((2(144/56))-1))) = 0.724

For multiple design lanes, the distribution factors can be calculated by summing the values for each lane. For example, assuming two

design lanes with a lane width of 12 feet and a spacing of 12 feet,

we have: b1 = 24 feet = 288 inches b2 = 12 feet = 144 inches d = 43.3 inches

Plugging these values into the formulas, we get:

SDF = ((2/3)(288/56))(1+((4144)/(356))) = 5.9

MDF = ((1/3)(288/56))(1+((144/56)((2(144/56))-1))) = 1.448

Note that these are only approximate values and may need to be adjusted based on the specific details of the bridge design and loading configuration. It is recommended to consult the AASHTO LRFD Bridge Design Specifications or other reliable references for more detailed guidance on calculating the distribution factors.

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Mathematics

A statistics student is interested in the relationship between the size of a pizza (the diameter measured in inches) and its price. He collects a random sample of pizzas from several local restaurants. He finds a linear model to give the relationship between the size of the pizza and the price. The equation of the line is ŷ = –8.1 + 1.91x, where ŷ is the price and x is the diameter. The residual plot is shown. Based on the residual plot, is the linear model appropriate? Request clarification: Expert: Share the picture of the plot as well User:

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Answer:

Yes, the residual are relatively small.

Step-by-step explanation:

As per the given graph

The residual are relatively small. Therefore linear model is appreciate

Physics

Bees can see into the ultraviolet region of the electromagnetic spectrum. Compared with humans, bees can sense electromagnetic waves that have a lower frequency and a shorter wavelength. a higher frequency and a longer wavelength. a lower frequency and a longer wavelength. a higher frequency and a shorter wavelength.

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Options:
a. a lower frequency and a shorter wavelength.
b. a higher frequency and a longer wavelength.
c. a lower frequency and a longer wavelength.
d. a higher frequency and a shorter wavelength

Answer:
d. a higher frequency and a shorter wavelength

Explanation:
The frequency of a wave is inversely proportional to its wavelength. That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength. Light waves have very, very short wavelengths.
For example, Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation.
Options:
a. a lower frequency and a shorter wavelength.
b. a higher frequency and a longer wavelen

Physics

Abbey always gets zits on her chin and she can t figure out the best method to get rid of them. She decides to test several products to see which clears her face up fastest: washing with soap and water, washing with an acne face wash from the pharmacy, and washing her face with organic oils. For one week she just washes her face with water. The next week she washes every day with soap and water. The following week she uses the acne wash, and the last week she uses the organic oils. Each week she records the number of zits she has on her chin at

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P Answered by PhD

Independent variable: the best method to get rid of them.

Dependent variable: washing with soap and water.

Hypothesis: Organic oils

Control group: water

Physics

tomatoes are being thrown horizontally off the top of a building 50.0 meters above the ground at 3.00 m/s. How far will the tomatoes travel horizontally by the time it hits the ground? Use significant figures, and estimate g to be equal to 9.81 m/s^2

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P Answered by PhD

Answer:

9.6 meters

Step-by-step explanation:

Time taken by the tomatoes to each the ground

using h = 1/2 g t^2

t^2 = 2h/g = 2 x 50/ 9.8 = 10.2

t = 3.2 sec

horizontal ditance = speed x time = 3 x 3.2 = 9.6 meters

Physics

a screw has a head diameter of 0.812 m and a thread width of 0.318 cm. What is the ideal mechanical advantage?

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P Answered by PhD

The question specifies the diameter of the screw, therefore the IMA of this screw is 0.812? / 0.318 = 8.02

Physics

A puck moves 2.35 m/s in a -22.0° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction. What was the magnitude of the acceleration?

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P Answered by PhD

Answer:
7.25 secs.

Explanation:
First find the distance it takes to stop
s = [v^2-u^2]/2a = 0^2 - 8.7^2/2[-2.4] = 8.7^2/4.8
Next find the time it takes to go that distance , s = ut +[1/2] at^2
8.7^2/4.8 = 8.7t +[1/2] [ -2.4]t^2 , rearrange and
t^2 -[8.7/1.2]+ 8.7^2/[(1.2)(4.8)]=0 complete the square
[t - (8.7/2.4)]^2=0
t = 8.7/2.4 = 3.625 secs
At this stage the deceleration will push the object back in the direction it came from for another 3.625 secs when it will be 8.7 m/s again
Total time , T =2t = 7.25 secs.

Note:
The term differential is used in calculus to refer to an infinitesimal (infinitely small) change in some varying quantity. For example, if x is a variable, then a change in the value of x is often denoted Δx (pronounced delta x). The differential dx represents an infinitely small change in the variable x.

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compare the momentum of a 6,300 kg elephant walking 0.11 m/s and a 50-kg dolphins swimming 10.m/s

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First sum applied the Newton's second law motion: F = ma
Force = mass* acceleration
This motion define force as the product of mass times Acceleration (vs.Velocity). Since acceleration is the change in velocity divided by time,
force=(mass*velocity)/time
such that, (mass*velocity)/time=momentum/time
Therefore we get mass*velocity=momentum
Momentum=mass*velocity
Elephant mass=6300 kg; velocity=0.11 m/s
Momentum=6300*0.11
P=693 kg (m/s)
Dolphin mass=50 kg; velocity=10.4 m/s
Momentum=50*10.4
P=520 kg (m/s)
The elephant has more momentum(P) because it is large.

Physics

Jordan lifts a 100-kilogram barbell from the floor to a height of 2.0 meters in 1.5 seconds. The amount of power he generates is about ____ watts.

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P Answered by PhD

Weight of barbell (m) = 100 kg
Uplifted to height (h) = 2m
Time taken= 1.5 s
Work done by Jordan = potential energy stored in barbell = mgh
= 100×2×9.8
= 1960J
Power = energy/time
= 1960/1.5
1306.67watts

Physics

Jasmine, who weighs 400 newtons, moves up a 5.0-meter climbing wall in 15 seconds. The amount of power generated by Jasmine as she climbs the wall is about ____ watts.

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P Answered by PhD

Weight of jasmine (m) = 400 N
Height climbed on wall (h) = 5m
Total time taken in climbing = 5 sec
Work done in climbing the wall = rise in potential energy = mgh
= 400×9.8×51
= 19600J
Power generated by Jasmine = potential energy / time
= 19600/5
= 3920Watts

Physics

Klay Thompson and Draymond Green wanted to play a joke on Steph Curry. Klay threw a ballon horizontally at 50 m/s from 150 m high bridge. How far did the ballow go when it landed?

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The horizontal and vertical motions of balloons are independent from each other.
Let vertical component of initial velocity U' horizontal component of initial velocity U"
Time of landing (t) is found with the help of vertical motion.
Since vertical component of initial velocity of balloon is zero(U' = 0)
From equation h = U't + 1/2gt^2
h = 1/2gt^2
t = √(2h/g)
t = √( 2×150/9.8)
t = 5.53 sec
Horizontal velocity = 50m/s
Horizontal range of balloon, R = U"t
= 50× 5.53
= 27.65m
So the balloon will go 27.65 metre away from the bridge

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