On a red pine lumber beam with span of 3.2 m, the standard value of the permanent uniform load (including self-weight) is 4.1 kN/m, and the standard value of the variable uniform load is 1.0 kN/m. The safety level is grade 2, and the design life is 50 years. Select the section size of the beam.
TC13B, f=13N/mm², f, = 1.4 N/mm², E = 9000 N/mm²
the appropriate section size for the red pine lumber beam with the safety level is grade 2, and the design life is 50 years is 150 mm × 5.44 mm.
Determine the characteristic load:The characteristic load is the permanent uniform load (including self-weight) plus the variable uniform load.
Given ,
the permanent uniform load is 4.1 kN/m
the variable uniform load is 1.0 kN/m
the characteristic load is (4.1 + 1.0) kN/m = 5.1 kN/m.
Calculate the design load:The design load is determined by multiplying the characteristic load by the partial safety factor for loads.
In this case,
the safety level is grade 2
the partial safety factor for loads (γ_f) is 1.4.
the design load is 5.1 kN/m × 1.4 = 7.14 kN/m.
Determine the maximum bending moment:The maximum bending moment occurs at the mid-span of the beam and is given by the equation:
M = (wL^2)/8, where ,
w is the design load
L is the span of the beam
M = (7.14 kN/m × (3.2 m)^2)/8 = 9.14 kNm.
Select an appropriate section size,use the formula: M = (bh^2)/6,
where,
b is the width of the section
h is the height of the section
(b × h^2) = (6 × 9.14 kNm)/(13 N/mm²) = 4.446 kNm/mm².
Since we have one unknown (either b or h), we need to make an assumption about one of them. Let's assume the width (b) is 150 mm.
h^2 = (4.446 kNm/mm²)/(b).
Substituting the assumed value of b = 150 mm,
h^2 = (4.446 kNm/mm²)/(150 mm) = 29.64 mm²/mm.
Taking the square root, we find: h ≈ 5.44 mm.
Therefore, the appropriate section size for the red pine lumber beam is 150 mm × 5.44 mm.
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57:07
Lila is a track and field athlete. She must complete four laps around a circular track. The track itself is a 400 meter track and it took her 6 minutes total to complete.
Which best describes her speed and velocity? (There are 60 seconds in 1 minute.)
Her speed is 4.4 m/s, and her velocity is 0 m/s.
Her speed is 1.1 m/s, and her velocity is 0 m/s.
Her speed is 0 m/s, and her velocity is 2400 m/s.
Her speed is 4.4 m/s, and her velocity is 4.4 m/s.
Answer:
v (speed) = S / t = 4 * 400 m / (6 * 60 sec) = 4.4 m/s
The average velocity is zero because there is no net vector displacement.
Answer:
A- Her speed is 4.4 m/s, and her velocity is 0 m/s.
A rock of mass 2.0 kg is dropped from rest from the top of a house.
When it hits the ground, it has 225 J of kinetic energy.
Calculate the height of the house.
Answer:
Explanation:
Given:
m = 2.0 kg
Wk = 225 J
__________
H - ?
Wp = m*g*H
Wp = Wk
m*g*H = 225
H = 225 / (m*g) = 225 / (2.0*9.8) ≈ 11,5 m
Olivia wants to find out whether a substance will fluoresce. She says she should put it in a microwave oven. Do you agree with her? Why or why not?
Answer:
The correct answer is - Disagree with her.
Explanation:
Fluorescence substances are the substances that glow when they absorbed visible light and ultraviolet radiation and objects will glow when put under Ultraviolet light and makes the molecules excited.
Microwaves have a different wavelength than ultraviolet radiation and therefore does not able to excite the molecule of the fluorescent objects. The microwave radiation will not glow.
Thus, the correct answer is - disagree with her.
_______ energy is defined as stored energy.
Answer:
Potential energy
Explanation: Potential energy is represented as a stored energy.
how fast does a 280- m spaceship move relative to an observer who measures the ship's length to be 135 m ? express your answer using three significant figures.
The spaceship is moving at a speed of approximately 2.07 times its measured length relative to the observer.
To determine the speed of the spaceship relative to the observer, we can use the concept of relativistic velocity addition. According to special relativity, the relative velocity between two objects is not simply the sum of their individual velocities but is governed by a more complex formula.
In this case, the observer measures the length of the spaceship to be 135 m. If we denote this measured length as L' and the actual length of the spaceship as L, the Lorentz factor can be calculated as γ = L/L'. The Lorentz factor accounts for the effects of time dilation and length contraction.
To find the relative velocity, we multiply the Lorentz factor by the speed of light (c) and divide it by the square root of (\(y^2\) - 1). Using the given values, we have the Lorentz factor γ = 280 m / 135 m ≈ 2.07.
Substituting these values into the formula, we find the relative velocity v = (γc) / \(\sqrt{(y^2 - 1)}\). Calculating the result with three significant figures, we have v ≈ 2.07c, where c is the speed of light.
Therefore, the spaceship is moving at a speed of approximately 2.07 times the speed of light relative to the observer who measures its length to be 135 m.
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100 points at-least 3 sentences pls!
Think about routine tasks that astronauts might need to do inside and outside a spaceship.
Choose several tasks, and describe the features of ship and space suits should have to account for zero gravity as the astronaut completes the task. Use newtons law of motion in your analysis.
Answer:
BOOM
Explanation:
Astronauts perform many tasks as they orbit Earth. The space station is designed to be a permanent orbiting research facility. Its major purpose is to perform world-class science and research that only a microgravity environment can provide. The station crew spends their day working on science experiments that require their input, as well as monitoring those that are controlled from the ground. They also take part in medical experiments to determine how well their bodies are adjusting to living in microgravity for long periods of time.
Working on the space station also means ensuring the maintenance and health of the orbiting platform. Crew members are constantly checking support systems and cleaning filters, updating computer equipment: doing many of the things homeowners must do to ensure their largest investment stays in good shape. Similarly, the Mission Control Center constantly monitors the space station and sends messages each day through voice or email with new instructions or plans to assist the crew members in their daily routines.
Answer:
I'll be utilizing this section from the end to help me with Newton's law: "The acceleration of an item depends on the mass of the object and the amount of force applied." I believe that duties like as resting, fixing objects outside and within the ship, and just enabling them to stay grounded would benefit greatly from modifications. I believe that extremely powerful suction would be required to keep the astronauts grounded. For ease of access, the portions would be placed on both the feet and the hand.
Explanation:
If you calculate the horizontal velocity of a projectile to be 56 m/s east and its vertical velocity of to be 44 m/s south, what is the velocity of the projectile when it lands? __________ m/s (use no more than 3 decimal places for your answer).
The velocity of the projectile when it lands is 71.218 m/s.
What is the resultant velocity of the projectile?The resultant velocity of the projectile when it lands is calculated by applying the following formula.
V = √ ( Vx² + Vy² )
where;
Vx is the horizontal velocity of the projectileVy is the vertical velocity of the projectileThe given parameters include the following;
the vertical velocity of the projectile = 44 m/s
the horizontal velocity of the projectile = 56 m/s
V = √ ( Vx² + Vy² )
V = √ ( 56² + 44² )
V = 71.218 m/s
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A generator produces 38 mwmw of power and sends it to town at an rms voltage of 78 kvkv. part a what is the rms current in the transmission lines?
The rms current in the transmission lines is I = 487.18 A.
The root-imply-rectangular (rms) voltage of a sinusoidal supply of electromotive force is used to represent the source. it is the rectangular root of the time average of the voltage squared.
Alternating-present day circuits. the root-imply-square (rms) voltage of a sinusoidal source of electromotive force is used to symbolize the supply. it's far the square root of the time average of the voltage squared.
Electric power is by using present day or the waft of electric fee and voltage or the capacity of rate to deliver electricity. A given cost of power can be produced by using any combination of contemporary and voltage values
power = 38 M watt
rms voltage = 78 K v
power = IV
I = power/V
I = (38 * 1000000)/78*1000
I = 487.18 A.
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The length of an iron rod is measures by a brass scale. When both of them are at 10°C, the measured length is 50cm. What is the length of the rod at 40°C when measured by the brass scale at 40°C.? (a for brass=24x10-6°C, a for iron = 16x10 °C -¹)
Answer: The answer is 222.8
find the distance to a sun-like star (l=3.8x1026 watts) whose apparent brightness at earth is 1.0 x10-10 watt/m2. formula: absolute brightness (ab) = luminosity / 4π r2
The distance to the sun-like star is approximately 9.77 x 10¹⁶ meters.
Absolute brightness (AB) = Luminosity (L) / 4πr²
We are given the following information:
Luminosity (L) = 3.8 x 10²⁶ watts
Apparent brightness (AB) = 1.0 x 10⁻¹⁰ watts/m²
Our goal is to find the distance (r) to the star. We can rearrange the formula to solve for r:
r² = Luminosity (L) / (4π × Apparent brightness (AB))
Now, we can plug in the given values:
r² = (3.8 x 10²⁶ watts) / (4π × 1.0 x 10⁻¹⁰ watts/m²)
r² = (3.8 x 10²⁶) / (4π × 10⁻¹⁰)
Now, let's solve for r:
r = √((3.8 x 10²⁶) / (4π × 10⁻¹⁰))
r ≈ 9.77 x 10¹⁶ meters
So, the distance to the sun-like star is approximately 9.77 x 10¹⁶ meters.
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Suppose the test consists of binary, categorical, and numerical answers. would the measure you described for (a) still be appropriate? briefly explain
While the measure described in (a) may not directly apply to a test with binary, categorical, and numerical answers, the appropriate statistical measures and techniques would be determined based on the specific properties and analysis needs of each type of answer.
In the context of a test comprising binary, categorical, and numerical answers, the measure described for (a) may not be directly applicable. Binary and categorical answers fall under the nominal level of measurement, representing qualitative categories without inherent numerical value or order. Numerical answers may have either interval or ratio measurement, with varying mathematical properties.
When analyzing such a test, different statistical measures and techniques would be employed based on the specific nature of the data. This may involve analyzing frequencies and proportions for categorical responses and utilizing descriptive or inferential statistics for numerical answers. The appropriate statistical approaches would be determined by considering the distinct properties of each answer type.
Therefore, while the measure described in (a) may not directly apply to a test with binary, categorical, and numerical answers, the appropriate statistical measures and techniques would be determined based on the specific properties and analysis needs of each type of answer.
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4. Maria wondered if different colors (red, orange, yellow, green, blue, and purple) of plastic wrap affected the time for bread to mold. She also wrapped a slices of bread in clear plastic wrap to see how they may normally mold. Before wrapping the same type of bread (Wonder Whole Wheat), she placed 5 ml of water in the center of each slice. The slices were of the same size and wrapped in the same manner and kept in a dark space at 75 degrees Fahrenheit. She measured the area of mold growth for one week after the mold first appeared. She observed 25 slices of bread for each color of wrap and the clear wrap as well. what is the constant variable the independant variable and the depentant variable
Answer:
Constant variable: SAME TYPE OF BREAD (Wonder whole wheat), SAME AMOUNT OF WATER (5ml), SAME SIZE OF BREAD SLICE, SAME TEMPERATURE (75°F)
Independant variable: COLORS OF PLASTIC WRAP
Depentant variable: TIME FOR BREAD TO MOLD
Explanation:
In any experiment, the independent variable is the variable that is deliberately changed or manipulated by the experimenter. In this case, the independent variable is the DIFFERENT COLORS OF PLASTIC WRAP USED (red, orange, yellow, green, blue, and purple).
Dependent variable is the variable that the experimenter measures in an experiment. It is the variable that responds to changes made to the independent variable. In this experiment, the dependent variable is the TIME IT TAKES FOR BREAD TO MOLD.
Constant variable, also known as Controlled variable, is the variable that the experimenter keeps constant or unchanged for all groups throughout the experiment. In this experiment, the constants are: SAME TYPE OF BREAD (Wonder whole wheat), SAME AMOUNT OF WATER (5ml), SAME SIZE OF BREAD SLICE, SAME TEMPERATURE (75°F)
Which does a reference point provide? Select two options. a position from which to measure future distance a set of standard units for measuring displacement a standard method for evaluating variables a method for determining the speed of an object a way to detect an object’s motion
Answer:
hope this helps you :)
Explanation:
An object is in motion if its position changes relative to another object. To decide if you are moving, you can use your chair as a reference point. A reference point is a place or object used for comparison to determine if something is in motion.
a= 40
B = 75°
mı = 50 kg
kt=0.3
‐------------------------
To which mass of m2 will mass ml go down the hill? What will be the
acceleration of m2 (a)?
On which interval of masses m2 will the system rest/not move?
On which mass m2 will the system go backwards (ml up the hill) What
will be the acceleration of ml (a)?
Solve with II. Newton's law.
Brainliest answer gets 50 points.
Answer:
okay lets see how it goes
Answer:
newtons law is equal to brightness law. which equal to court law
what is the distance from letter D to A?
Answer:
5 is a correct Answer iiiiiiiiiii
Plains and mountains are examples of formed by processes that shape Earth's surface.
Answer:
Im not sure what you're asking, but im assuming this is a TRUE or FALSE question.
This statment would be *TRUE*.
Explanation:
Hw2b. 8. Position from polar velocity a particle starts at time at the position the velocity of the particle is written in the polar basis associated with its current position, and is: what is the position of at ?
The particle's location vector at time t is given by: r(t) = t³ + t² + 1
As per the question, we have the velocity of the particle in polar coordinates, but we need to find the position of the particle at time t. To do this, we need to integrate the velocity vector to obtain the position vector.
Let's consider the given velocity vector:
v(t) = (3t² + 2t)i + (2t² + 3t)j
To integrate this velocity vector, we need to find the corresponding position vector. Since the velocity vector is given in polar coordinates, we can express it in terms of polar variables:
v(t) = r'(t) + r(t)θ'(t)
where r'(t) and θ'(t) are the radial and angular components of the velocity vector, respectively.
By comparing the given velocity vector with the above equation, we can write:
r'(t) = 3t² + 2t
θ'(t) = (2t²+ 3t)/r(t)
Integrating r'(t) with respect to t, we get:
r(t) = t³ + t² + C
where C is the constant of integration.
To determine the value of C, we need to use the initial condition given in the problem. The particle starts at the position r = 1 and θ = π/4 at time t = 0. This implies:
r(0) = 1
θ(0) = π/4
Substituting these values in the equation for r(t), we get:
1 = 0 + 0 + C
C = 1
Therefore, the position vector of the particle at time t is given by:
r(t) = t³ + t² + 1
To find the value of θ at time t, we integrate θ'(t) with respect to t:
θ(t) = ∫(2t² + 3t)/r(t) dt
= ∫(2t² + 3t)/(t³ + t² + 1) dt
This integral is not trivial to solve analytically. Therefore, the position of the particle at time t can be expressed as:
r(t) = (t³ + t² + 1)i + f(t)j
where f(t) is the solution of the above integral for θ(t).
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what is the type of blood the contains antibody B and Rh
Answer:Blood type AB Rh+
Explanation:
How many excess electrons must be distributed uniformly within the volume of an isolated plastic sphere 22.0 cmcm in diameter to produce an electric field of 1340 N/CN/C just outside the surface of the sphere?
Answer:
1.125x10^-10 electrons
Explanation:
Pls see attached file
Two persons are applying forces on two opposite sides of a moving cart.
The cart still moves with the same speed in the same direction. What
do you infer about the magnitudes and direction of the forces applied.
Answer:
the force is very strong between
Wires provide the pathway to carry the electricity from components to components. * 1 point true false
Answer:
true
Explanation:
as long as it is the right conductive material
The half-life of 238U is 4.5 * 109 yr. A sample of rock of mass 1.6 g produces 29 dis>s. Assuming all the radioactivity is due to 238U, find the percent by mass of 238U in the rock.
The percent by mass of 238U in the rock is approximately 0.14%.
To determine the percent by mass of 238U in the rock, we need to use the radioactive decay equation and the concept of half-life. The given information states that the half-life of 238U is 4.5 * 10⁹ years.
The decay constant (λ) is determined by the equation:
λ = ln(2) / t(1/2)
where ln denotes the natural logarithm and t(1/2) is the half-life. Plugging in the values:
λ = ln(2) / (4.5 * 10⁹)
λ ≈ 0.154 x 10⁻⁹ year⁻¹
The number of decays per second (dis/s) can be determined by the equation:
dis/s = λ * N
where N is the number of radioactive nuclei present. Since the mass of the rock is given as 1.6 g, we can use Avogadro's number to convert it to the number of atoms:
N = (1.6 g / molar mass of 238U) * Avogadro's number
Substituting the values and using the molar mass of 238U:
N ≈ (1.6 / 238) * 6.022 x 10²³
N ≈ 4.06 x 10²¹ atoms
Now, substituting the values into the equation for dis/s:
dis/s = 0.154 x 10⁻⁹ * 4.06 x 10²¹
dis/s ≈ 6.25
To find the percent by mass, we divide the mass of 238U by the mass of the rock and multiply by 100:
Percent by mass = (mass of 238U / mass of rock) * 100
Since the number of decays per second is 29, and each decay corresponds to one 238U atom, the mass of 238U can be calculated as:
mass of 238U = (dis/s / λ)
mass of 238U ≈ 6.25 / 0.154 x 10⁻⁹
mass of 238U ≈ 4.06 x 10⁹ g
Now, substituting the values into the equation for percent by mass:
Percent by mass = (4.06 x 10⁹ / 1.6) * 100
Percent by mass ≈ 0.14%
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It is not possible to get a perfect Machine in our practice, why?
No machine is perfect because some part of the work done on a machine is always used up or wasted in overcoming the friction between the moving parts of the machine. If a machine is 80% of the work input to the machine is obtained as the useful work output.
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How is the weight formula similar to the force formula? W=mg and F=ma*
1.They both have mass in them
2.They both have acceleration
3.Gravity causes acceleration
4.All of the above
5.None of the above
i need the answers to this assignment please.
Answer:
1.> 374$
2.> in between the age 21 - 64
3.> The data represented above shows the cost of health insurance for each age group where we can clearly see the smooth increase in cost as the age gets bigger.
4.> The graph above shows relation of age with the cost so most likely it will be the same for cars as aging also applies to vechiles.
5.> The graph will follow the same rate of increasement as it goes on and on.
Is steam gas? If not what is?
Answer:
steam is a gas
Explanation:
Answer: Steam is an invisible gas, unlike water vapor, which appears as a mist or fog.
Explanation:
the resistance provided by an inductor in an ac circuit is called
The resistance provided by an inductor in an ac circuit is called inductive reactance. See the following explanation.
What is resistance?Resistance is a measure of a device opposition to current flow in an electrical circuit. The resistance provided by an inductor is called inductive reactance. This happens in ac circuit. It can be calculated using the equation
xl = 2πfL
Where
xl is the inductive reactancef is the frequency of the AC currentL is the inductance of the inductor.The inductive reactance is measured in ohms and represents the opposition to the change in current flow due to the magnetic field created by the inductor.
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According to Newton’s first law of motion, when will an object at rest begin to move?
when its inertia decreases to zero
when an unbalanced force acts upon it
when the action and reaction forces are equal
when two equal and opposite forces act upon it
According to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.
option B is the correct answer.
What is Newton's first law of motion?Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity unless acted upon by an external force.
In other words, an object will maintain its state of motion (whether it is at rest or moving in a straight line at a constant speed) unless a force acts upon it.
Thus, according to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.
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Answer:
its B
Explanation:
At 8pm the constellation gemini is found just over the mountains in the eastern sky. where will it be about four hours later?
Explanation:
Every 24 hours the constellation appears to make a complete revolution around our planet ( it is ACTUALLY the rotation of the earth) ...constellations appear to move from east to south to west across the night sky.
360 degrees in 24 hours is fifteen degrees per hour ...in 4 hours it will move sixty degrees to be 90 (east) + sixty = one hundred fifty degrees on the compass or S S E