The vertical component of the force exerted by pin C is 0.866W directed upwards, and the horizontal component of the force exerted by pin A is -0.5W directed to the left.
There are three forces acting on member ABCD: the force F1 exerted by pin A, the force F2 exerted by pin C, and the weight W of member ABCD.
The weight W of member ABCD acts vertically downwards, so we can resolve it into its vertical and horizontal components:
The vertical component of W is Wv = W cos(30°) = 0.866 W
The horizontal component of W is Wh = W sin(30°) = 0.5 W
Next, we need to determine the direction of the forces F1 and F2.
Since the system is in equilibrium, we know that the horizontal components of F1 and F2 must be equal and opposite (i.e., F1h = -F2h).
Similarly, the vertical components of F1 and F2 must also be equal and opposite (i.e., F1v = -F2v).
Since pin C passes through the smooth slot in member ECF,
we know that the force exerted by pin C must be perpendicular to member ECF.
Therefore, the horizontal component of F2 is zero (i.e., F2h = 0) and the entire force F2 is directed vertically upwards, i.e., F2v = F2.
So we have:
F1h = -F2h = 0
F1v = -F2v
Now, we can use the fact that the sum of all forces acting on member ABCD must be zero to set up two equations:
Sum of horizontal forces = 0: F1h + F2h + Wh = 0
Sum of vertical forces = 0: F1v + F2v + Wv = 0
Substituting the values we have determined, we get:
F1h + 0 + 0.5 W = 0
F1v + F2 + 0.866 W = 0
Solving for F1v and F2, we get:
F1v = -0.866 W
F2 = 0.866 W
Therefore, the vertical component of the force exerted by pin C is F2 = 0.866 W, directed upwards. The horizontal component of the force exerted by pin A is F1h = -0.5 W, directed to the left.
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40. AASHTO assumes a deceleration value in calculating SSD of:
a. 14 ft /sec2
b. 11.2 ft /sec2
c. 9.6 ft /sec2
d. 10.2 ft /sec2
AASHTO assumes a deceleration value in calculating stopping sight distance (SSD) of B. 11.2 ft/s^2. This doesn't take any road defects into account.
Which statements describe the motion of car A and car B? Check all that apply. Car A and car B are both moving toward the origin. Car A and car B are moving in opposite directions. Car A is moving faster than car B. Car A and car B started at the same location. Car A and car B are moving toward each other until they cross over.
Answer:
car a is moving faster than the car b
Answer:
B: Car A and car B are moving in opposite directions.
C: Car A is moving faster than car B.
E: Car A and car B are moving toward each other until they cross over.
Explanation:
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A circuit has two resistors in parallel, each resistor is 6 ohms. This circuit is connected to a single resistor of 6 ohms, to form a series-parallel circuit. What is the total resistance of the circuit?
The tatal resistance of the series-parallel circuit with two resistor connected in parallel which combination is connected in series to a single resistor is 9 ohms.
What is a resistance?
This can be defined as the opposition to current flow in a circuit.
To calculate the total resistance, first we need to find the total resistance of the parallel resistor.
For parallel,
R' = (R₁R₂)/(R₁+R₂)............Equation 1Where:
R' = Total resistance of the parallel resistor.
From the question,
Given:
R₁ = 6 ohmsR₂ = 6 ohmsSubstitute these values into equation 1
R' = (6×6)(6+6)R' = 3 ohms.Finally, we combine the effective parallel resistance in series to the single resistance to the the total resistance of the circuit.
Rt = R'+R₃.................. Equation 2Where:
Rt = Total resistance of the circuit.From the question,
R' = 3 ohmsR₃ = 6 ohmsSubstitute these values into equation 2
Rt = 3+6Rt = 9 ohms.Hence, the total resistance of the circuit is 9 ohms.
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branch-circuit conductors shall have an ampacity ? the maximum load they are intended to serve.
Branch-circuit conductors shall have an ampacity that is sufficient to safely carry the maximum load they are intended to serve. The ampacity of branch-circuit conductors is determined based on the anticipated current demands of the connected loads.
The National Electrical Code (NEC) provides guidelines and ampacity tables that help determine the minimum required ampacity for branch-circuit conductors based on the type of conductor, insulation rating, and the maximum allowable temperature rise.
It is important to correctly size the branch-circuit conductors to ensure they can handle the expected load without exceeding their ampacity. Undersized conductors can result in overheating, voltage drop, and potential hazards. Oversized conductors may not be cost-effective and can take up unnecessary space.
To determine the appropriate ampacity for branch-circuit conductors, factors such as the type and number of connected devices, continuous loads, and future expansion should be considered. It is recommended to consult the NEC or a qualified electrical professional to ensure compliance with the specific requirements and calculations for ampacity determination.
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What pressure does a 125 lbs woman in high heels ( .45 radius) exert on the floor if she's standing on one foot? 152.4 PSI 110 PSI 210.25 PSI 196.5 PSI
The pressure that she exerts on the floor when standing on one foot is 6,335 psi
How to find the pressure?To calculate the pressure exerted by a person standing on one foot, we need to know the weight of the person, the contact area between the foot and the floor, and the gravitational acceleration. In this case:
Weight of the woman = 125 lbs
Radius of the high heel = 0.45 inches (assuming you meant inches)
First, let's convert the weight from pounds to pounds-force, since pounds is a unit of mass, not force. The weight of an object can be converted to pounds-force by multiplying it by the acceleration due to gravity.
Acceleration due to gravity (g) ≈ 32.2 ft/s²
Weight of the woman in pounds-force:
125 lbs * 32.2 ft/s² ≈ 4025 lbs-force
Now, we need to convert the radius of the high heel from inches to feet, since we'll be using the gravitational acceleration in feet per second squared.
Radius of the high heel in feet:
0.45 inches = 0.45/12 feet ≈ 0.0375 feet
Next, we calculate the contact area between the foot and the floor assuming it's a circular shape. The contact area can be approximated using the formula for the area of a circle:
Contact area = π * (radius of the high heel)²
Contact area:
π * (0.0375 feet)² ≈ 0.00442 square feet
Finally, we can calculate the pressure exerted on the floor by dividing the weight of the woman by the contact area:
Pressure = Weight / Contact area
Pressure:
4025 lbs-force / 0.00442 square feet ≈ 911,535 pff
Now to find the pressure in PSI, we can use the relation:
911,824 psf / 144 ≈ 6,335 psi
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Which vegetation type do you think will cause fire to spread the fastest?
Explain why you chose that answer.
Answer:B
Explanation: Dead Grass more flammable than wood and Green grass contains water.
As an input signal drives the base voltage in a positive direction, base current will_____ and collector current will _____.
Answer:
Base current increases and collector current decreases
Explanation:
Base current increases and collector current decreases
The collector current does reduces because electrons that moves from emitter to base and the electrons that moves from collector to base are both cancelled out. Some of these electrons enter from the emitter to the collector because, in a way, the emitter has been heavily döped
An increase in base current also means that there is more bias to the transistor
discuss the difference between a dual split and a diagonal split master cylinder.
Answer:
The difference between the dual split Master cylinder and diagonal split Master cylinder is dual split it makes power brakes less prone to failure while diagonal split is when the left rear and right front brakes are on one hydraulic line while the right front and left rear brakes are on another.
The distinction between a diagonal split and a dual split master cylinder Power brakes are less likely to fail when the master cylinder is dual split, while diagonal splitting occurs when the left rear and right front brakes are connected to one hydraulic line while the right front and left rear brakes are connected to another.
What is meant by master cylinder?The hydraulic pump in a car's braking system, which includes a cylinder and one or more pistons and pushes hydraulic fluid under pressure to the brakes at each wheel, is activated by pressing the brake pedal.
In order to convert the pressure on the brake pedal to hydraulic pressure, the master cylinder, also known as the master brake cylinder, feeds brake fluid into the brake circuit and regulates this in accordance with the mechanical force.
Thus, The distinction between a diagonal split and a dual split master cylinder Power brakes are less likely to fail.
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What is the metal removal rate when a 2 in-diameter hole 3.5 in deep is drilled in 1020 steel at cutting speed of 120 fpm with a feed of 0.02 ipr? What is the cutting time?
Answer:
a) the metal removal rate is 14.4 in³/min
b) the cutting time is 0.98 min
Explanation:
Given the data from the question
first we find the rpm for the spindle of the drilling tool, using the equation
Ns = 12V/πD
V is the cutting speed(120 fpm) and D is the diameter of the hole( 2 in)
so we substitute
Ns = 12 × 120 / π2
Ns = 1440 / 6.2831
Ns = 229.18 rmp
Now we find the metal removal rate using the equation
MRR = (πD²/4) Fr × Ns
Fr is the feed rate( 0.02 ipr ),
so we substitute
MRR = ((π × 2²)/4) × 0.02 × 229.18
MRR = 14.3998 ≈ 14.4 in³/min
Therefore the metal removal rate is 14.4 in³/min
Next we find the allowance for approach of the tip of the drill
A = D/2
A = 2/2
= 1 in
now find the time required to drill the hole
Tm = (L + A) / (Fr × Ns)
Lis the the depth of the hole( 3.5 in)
so we substitute our values
Tm = (3.5 + 1) / (0.02 × 229.18 )
Tm = 4.5 / 4.5836
Tm = 0.98 min
Therefore the cutting time is 0.98 min
Which items are NOT found on a
door?*
5 points
Cladding
Moulding
Weatherstrip
Check Strap
Striker
All of the above
None of the above
Answer:
None of the above cause thats what i put
A new back-up power generator is to be located to serve a total of (6) precision machines in a manufacturing facility. Separate electrical cables are to be run from the generator to each machine. The locations of the (6) machines are P1 = (0,0), P2 = (30,90), P3 = (60,20), P4 = (20,80), P5 = (70,70), and P6 = (90,40). Determine the location for the generator that will minimize the total required length of the electrical cable. (NOTE: Assume rectilinear distance)
The location for the generator that will minimize the total required length of the electrical cable is (45, 65). Placing the generator at this location ensures that the average distance between the generator and the machines is minimized, reducing the total length of the electrical cable required.
To determine the location for the generator that will minimize the total required length of the electrical cable, we can use the concept of the centroid. The centroid represents the center of mass of a geometric shape or a set of points.
In this case, we need to find the centroid of the given points (machine locations). The centroid can be calculated by taking the average of the x-coordinates and the average of the y-coordinates of the points.
The x-coordinate of the centroid can be calculated as:
x-coordinate = (x1 + x2 + x3 + x4 + x5 + x6) / 6 = (0 + 30 + 60 + 20 + 70 + 90) / 6 = 45
The y-coordinate of the centroid can be calculated as:
y-coordinate = (y1 + y2 + y3 + y4 + y5 + y6) / 6 = (0 + 90 + 20 + 80 + 70 + 40) / 6 = 65
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What project is this ?
Answer:
a building project...
Explanation:
how do we find percentage error in measuring voltage across a resistor
Answer:
use the percentage error relation
Explanation:
The percentage error in anything is computed from ...
%error = ((measured value)/(accurate value) -1) × 100%
__
The difficulty with voltage measurements is that the "accurate value" may be hard to determine. It can be computed from the nominal values of circuit components, but there is no guarantee that the components actually have those values.
Likewise, the measuring device may have errors. It may or may not be calibrated against some standard, but even measurement standards have some range of possible error.
Answer:
use the percentage error relation
Electrical Circuit question..
Answer:
Cool.
Explanation:
What is the meaning of beauty and completeness? In relation to these what are the attributes a Muslim should adopt?
ᴄᴏᴍᴘʟᴇᴛᴇɴᴇꜱꜱ ᴍᴇᴀɴꜱ ᴛʜᴇ ꜱᴛᴀᴛᴇ ᴏꜰ ʙᴇɪɴɢ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴᴅ ᴇɴᴛɪʀᴇ; ʜᴀᴠɪɴɢ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴛʜᴀᴛ ɪꜱ ɴᴇᴇᴅᴇᴅ.
ʙᴇᴀᴜᴛʏ ᴍᴇᴀɴꜱ combination of qualities, such as shape, colour, or form, that pleases the aesthetic senses, especially the sight.
Margaret consumes two goods: wine and caviar. She has well-behaved preferences and her budget is iniatially $2000. The price of a bottle of wine is $130, and the price of the ounce of caviar is $150. Now suppose Margaret's budget increase to $3000. Does her consumption of caviar increase
To determine whether Margaret's consumption of caviar increases when her budget increases to $3000, we need to consider her preferences and the prices of wine and caviar.
Yes, Margaret's consumption of caviar may increase with the increase in her budget from $2000 to $3000.To determine the exact impact on her consumption, we need to consider the relative prices of the two goods and Margaret's preferences. If the price of caviar remains constant at $150 per ounce while her budget increases, she now has more income available to allocate towards caviar. If caviar is a normal good for Margaret (meaning she consumes more of it as her income increases), then it is likely that she will choose to increase her consumption of caviar with the higher budget. However, if caviar is an inferior good for Margaret (meaning she consumes less of it as her income increases), her consumption of caviar may not necessarily increase despite the higher budget.
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In the base of mechanical science knowledge, define work, energy and power
Answer:
Work is the amount of energy transfered by a force.
Energy is the amount of power an object gets from its position or motion.
Power is the combination of all forces and movements of a system that is the rate at which work can be done by a system.
In a series motor, the field electromagnet consists of A) a winding connected in parallel with the armature. B) a winding connected in parallel with the armature and a second winding connected in series with the armature. C) a winding connected in series with the armature. D) a winding connected in series with a separate dc power source.
Answer:
C) a winding connected in series with the armature.
Explanation:
In a series motor, an electromagnet is used as a stator to generate its magnetic field. The field coil of this stator are connected through a commutator in series with the rotor windings. This stator which is the armature windings will conduct AC even on a DC machine, due to the periodically reverses current direction (commutation) or due to electronic commutation (as in brushless DC motors).
This occurs when a layer of water builds between the wheels of the vehicle and the road surface, leading to a loss of traction that prevents the vehicle from responding to control inputs.
Aquaplaning or hydroplaning by the tires of a road vehicle, aircraft, or other wheeled vehicle happens when a coating of water builds between the wheels of the vehicle and the road surface, leading to a failure of traction that controls the vehicle from responding to govern inputs.
What is Aquaplaning or hydroplaning?Aquaplaning or hydroplaning by the tires of a road vehicle, aircraft, or other wheeled vehicle happens when a coating of water builds between the wheels of the vehicle and the road surface, leading to a failure of traction that controls the vehicle from responding to govern inputs. Aquaplaning, also understood as hydroplaning, is a situation in which standing water, slush, or snow, drives the moving wheel of an aircraft to lose contact with the load-bearing surface on which it stands rolling with the impact that braking action on the wheel stands not effective in decreasing the ground speed of the aircraft.
When driving on wet roads at increased speed, a wedge of water can create up between the tire and the road surface. The tire loses road contact, and the vehicle stands no longer responsive to steering. This phenomenon exists understood as aquaplaning or hydroplaning.
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Give the chemical reactions zinc oxide (ZnO) reduction in a retort furnace by carbon and carbon monoxide. b) what is the range of temperature for zinc oxide reduction in a retort furnace? c) what is the main reaction and why? For the toolbar, press ALT+F10 (PO) ALT
Zinc oxide (ZnO) can be reduced to zinc metal through various techniques. In this context, the reduction process of Zinc oxide (ZnO) by using a retort furnace through carbon and carbon monoxide is to be discussed.The chemical reactions for Zinc oxide (ZnO) reduction in a retort furnace by carbon and carbon monoxide.
The first reaction that occurs during the reduction of Zinc oxide (ZnO) is the formation of Zinc (g) and Carbon monoxide (CO) from Zinc oxide (ZnO) and Carbon (C) respectively.
The main reaction for the reduction of Zinc oxide (ZnO) in a retort furnace by carbon and carbon monoxide is:ZnO (s) + C (s) → Zn (g) + CO2 (g)The above reaction is the overall reaction for the Zinc oxide (ZnO) reduction.
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the jpeg images taken by most digital cameras today use 24-bit ____
JPEG images captured by most digital cameras today use 24-bit color depth.
This means that each pixel in the image is composed of three color channels - red, green, and blue - each with 8 bits of data, allowing for 256 possible values for each channel. When combined, these three channels create a range of over 16 million colors, resulting in a high-quality and detailed image.
The use of 24-bit color depth also enables the image to be edited and manipulated without significant loss of quality, making it a popular format for digital photography.
However, it is important to note that some high-end cameras may capture images with a higher color depth, such as 36-bit or 48-bit, allowing for an even greater range of colors and finer gradations.
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Which of the following would satisfy the 30-minute break required under the interruption of driving provisions
The 30-minute consecutive break could be satisfied by taking 30 consecutive minutes off duty/on duty without driving.
What is the 30-minute rule?The 30-Minute Break Rule refers that a driver having a window of 8 hours to drive after their last off-duty period of at least 30 minutes. In the old rule, once a driver went on duty in a day, the driver had to take a 30-minute break by the 8th hour before being allowed to drive again.
This rule also implies spending 30 consecutive minutes in the sleeper berth. A combination of both equals 30 consecutive minutes. Drivers must take a 30-minute break when they have driven for a period of 8 cumulative hours without at least a 30-minute interruption.
Therefore, the 30-minute consecutive break could be satisfied by taking 30 consecutive minutes off duty/on duty without driving.
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Your question seems incomplete. The most probable complete question is as follows:
Which of the following would satisfy the 30-minute break required under the interruption of driving provisions:
taking 30 consecutive minutes off duty/on duty without driving.taking 30 consecutive minutes off duty/on duty with driving.taking more than 30 minutes off duty/on duty without driving.taking less than 30 minutes off duty/on duty without driving.at which osi model layer does a media converter operate
A media converter operates at the Physical Layer (Layer 1) of the OSI model.
The Physical Layer is responsible for the transmission and reception of raw bit streams over a physical medium. It deals with the electrical, mechanical, and functional aspects of the physical medium, including the physical connectors, cables, signaling, and voltage levels.
A media converter is a networking device used to convert the transmission media or interface types between different networking technologies. It can convert signals from one type of media, such as copper Ethernet, to another type, such as fiber-optic Ethernet. The media converter translates the electrical signals or encoding schemes used in one type of media to those used in another, allowing different network segments to communicate with each other.
Since a media converter deals with the physical transmission and conversion of signals between different media types, it operates at the Physical Layer of the OSI model.
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A soil sample, taken from a borrow pit has a specific gravity of soil solids of 2.66. The sample was taken to a materials laboratory and tested. The results of a standard Proctor test are tabulated below.
Weight of Soil (lb) Moisture Content (%)
3.20 12.8
3.78 13.9
4.40 15.0
4.10 15.7
3.70 16.6
3.30 18.1
The maximum dry density in lb/ft3 is most nearly:_______
Answer:
115 Ib/ft^3
Explanation:
To determine the maximum dry density in Ib/ft3 we have to calculate :
Bulk unit weight ( yb ) ; W / v
Dry unit weight ( yd. ) : yb / ( 1 + w )
For every set of data given
assuming v = 1/30 ft^3
calculating for the 3 data set ( maximum dry density )
weight of soil (W) = 4.40
moisture content (%) (w) = 15.0 = 0.15
Bulk unit weight (yb) = 4.40 / (1/30) = 132 Ib/ft^3
Dry unit weight ( yd. ) = 132 / ( 1 + 0.15 ) = 114.702 Ib/ft^3
therefore after calculations the maximum dry density in Ib/ft^3 ≈ 115 Ib/ft^3
What prevented this weld from becoming ropey?
A lower ampera
A higher voltage
The position of the weld
The stepping motion of the weld
Answer:
If I am not mistaken I believe it is a higher voltage.
Explanation:
Hope this helps
Is a backup generator a good investment for your home?.
Answer:
As a homeowner, buying a generator could spare you financial losses, like food spoilage, when power outages strike. Also, if you work from home, a standby generator is a solid investment, as it ensures you won't suffer a loss of income due to circumstances outside your control.
A spring-mass-damper system is given. It has following parameters as m=1 kg, b=3 Ns/m and k=5 N/m with a force of step input. Derive the system equation of motion first using
Newtonian approach and then determine
(a) Undamped natural frequency and the damping ratio for the system (b) Change the spring constant by making it more stiff as 5*k, what kind of response changes are seen in the system?
(c) If the spring constant is kept same with the mass, but the damping constant is made 5*b, then what happens to the system response?
(d) What are the followings? Explain briefly model- importance of simulation in engineering - relation between modelling and simulation
(a) Newtonian approach to derive the equation of motion:
Using Newton's second law of motion, we can write the equation of motion for the spring-mass-damper system as:
m * d^2x/dt^2 + b * dx/dt + k * x = F(t)
Where:
m = mass of the system (1 kg)
b = damping coefficient (3 Ns/m)
k = spring constant (5 N/m)
x = displacement of the mass from its equilibrium position
F(t) = applied force (step input)
Taking Laplace transform on both sides, we have:
m * s^2 * X(s) + b * s * X(s) + k * X(s) = F(s)
Rearranging the equation, we get:
X(s) = F(s) / (m * s^2 + b * s + k)
(b) Changing the spring constant (k) to 5*k:
If the spring constant is increased to 5 times its original value, the system becomes stiffer. This change in the spring constant will result in a higher natural frequency of the system. The natural frequency (wn) is given by:
wn = sqrt(k / m)
By increasing k, the natural frequency of the system will increase, resulting in a faster oscillation and shorter period of the system's response.
(c) Keeping the spring constant (k) the same but increasing the damping constant (b) to 5*b:
Increasing the damping constant while keeping the spring constant the same will result in a higher damping ratio (ζ) for the system. The damping ratio is given by:
ζ = b / (2 * sqrt(k * m))
By increasing the damping constant, the system's response will be more overdamped. It will take longer for the system to reach its equilibrium position, resulting in a slower and smoother response.
(d) Model and Simulation in Engineering:
Model: A model is a simplified representation or description of a system or process. It captures the essential features and behavior of the real system, allowing engineers to analyze and understand its performance and make predictions. Models can be mathematical, physical, or conceptual, depending on the nature of the system being studied.Importance of Simulation in Engineering: Simulation is a powerful tool used in engineering to mimic the behavior of real systems and processes. It allows engineers to test and evaluate various scenarios, assess the performance of systems, and make informed decisions. Simulation enables the study of complex systems that may be difficult or expensive to analyze experimentally. It helps in identifying potential issues, optimizing designs, improving efficiency, and reducing costs and risks associated with real-world experiments.Relationship between Modeling and Simulation: Modeling is the process of creating a representation of a system, while simulation involves running the model to observe and analyze its behavior. Modeling is an essential step before simulation, as it provides a conceptual framework and mathematical description of the system. Simulation uses the model to generate data and simulate the behavior of the system under different conditions or inputs. The accuracy and reliability of simulation results depend on the quality of the underlying model.In summary, modeling is the creation of a simplified representation of a system, while simulation involves running the model to analyze system behavior. Simulation is a valuable tool in engineering as it allows for analysis, prediction, and optimization of complex systems, leading to improved designs and decision-making.
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a homeowner consumes 700 kwh of energy in march. determine the average cost per kwh for the month using the following residential rate schedule: base monthly charge of $10.00. first 100 kwh per month at 16 cents/kwh. next 200 kwh per month at 10 cents/kwh. over 300 kwh per month at 6 cents/kwh.
Answer:
10 cents/kwh
Explanation:
Base monthly charge = $10.00
First 100 kwh at $0.16/kwh = $16.00
Next 200 kwh at $0.10/kwh = $20.00
Remaining 400 kwh at $0.06/kwh = $24.00
Total charge = $10 + $16 + $20 + $24 /(100+200+400)
Average cost = $70/700 or 10 cents/kwh
The purpose of draping the tendons in a post-tensioned slab is...
A. To account for long term shrinkage of the concrete.
B. To reduce wobble in the post tensioned slab.
C. To make it more difficult for the contractor to install.
D. To balance the stresses that are generated from the gravity loading.
When a tensile specimen is stretched in the plastic region to an engineering strain of 0.2, calculate the amount of cold work percent.
Answer:
0.2 x 100
Explanation:
Engineering strain is the original crossection/original crossection
cold work percentage is
original crossection/original crossection x 100