Answer:
The receiving end Voltage ( VR ) will reduce significantly
Explanation:
<u>Determine what happens to the receiving end voltage </u>
Given that ; Load on transmission line is increased and Load has a lagging power factor
Increase in load = Increase in reactive/real power drawn from the transmission line and this will cause an increase in the current drawn as well.
Vs = VR + j XL I
Vs = sending end voltage
VR = receiving end voltage
jXL I = voltage drop across reactance
The rotating and shifting of Vs to a new power angle ( lagging power factor ) without a change in magnitude will cause the value of the VR receiving end voltage to drop significantly
Answer:
Option A
Explanation:
Alloys are metal compounds with two or more metals or non metals to create new compounds that exhibit superior structural properties. Alloys have high level of hardness that resists deformation thereby making it less ductile compared to polymers. This is due to the varying difference in the chemical and physical characteristics of the constituent metals in the alloy.
Answer:
Explanation:
From the given question:
Using the distortion energy theory to determine the factors of safety FOS can be expressed by the relation:
![\dfrac{Syt}{FOS}= \sqrt{ \sigma x^2+\sigma y^2-\sigma x \sigma y+3 \tau_{xy^2}}](https://tex.z-dn.net/?f=%5Cdfrac%7BSyt%7D%7BFOS%7D%3D%20%5Csqrt%7B%20%5Csigma%20x%5E2%2B%5Csigma%20%20y%5E2-%5Csigma%20x%20%5Csigma%20y%2B3%20%5Ctau_%7Bxy%5E2%7D%7D)
where; syt = strength in tension and compression = 350 MPa
The maximum shear stress theory can be expressed as:
![\tau_{max} = \dfrac{Syt}{2FOS}](https://tex.z-dn.net/?f=%5Ctau_%7Bmax%7D%20%3D%20%5Cdfrac%7BSyt%7D%7B2FOS%7D)
where;
![\tau_{max} =\sqrt{ (\dfrac{\sigma x-\sigma y}{2})^2+ \tau _{xy^2](https://tex.z-dn.net/?f=%5Ctau_%7Bmax%7D%20%3D%5Csqrt%7B%20%28%5Cdfrac%7B%5Csigma%20x-%5Csigma%20%20y%7D%7B2%7D%29%5E2%2B%20%5Ctau%20_%7Bxy%5E2)
a. Using distortion - energy theory formula:
![\dfrac{350}{FOS}= \sqrt{94^2+0^2-94*0+3 (-75)^2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D%20%5Csqrt%7B94%5E2%2B0%5E2-94%2A0%2B3%20%28-75%29%5E2%7D%7D)
![\dfrac{350}{FOS}=160.35](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D160.35)
![{FOS}=\dfrac{350}{160.35}](https://tex.z-dn.net/?f=%7BFOS%7D%3D%5Cdfrac%7B350%7D%7B160.35%7D)
FOS = 2.183
USing the maximum-shear stress theory;
![\dfrac{350}{2 FOS} =\sqrt{ (\dfrac{94-0}{2})^2+ (-75)^2](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D%5Csqrt%7B%20%28%5Cdfrac%7B94-0%7D%7B2%7D%29%5E2%2B%20%28-75%29%5E2)
![\dfrac{350}{2 FOS} =88.51](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D88.51)
![\dfrac{350}{ FOS} =2 \times 88.51](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B%20FOS%7D%20%20%3D2%20%5Ctimes%2088.51)
![{ FOS} =\dfrac{350}{2 \times 88.51}](https://tex.z-dn.net/?f=%7B%20FOS%7D%20%20%3D%5Cdfrac%7B350%7D%7B2%20%5Ctimes%2088.51%7D)
FOS = 1.977
b. σx = 110 MPa, σy = 100 MPa
Using distortion - energy theory formula:
![\dfrac{350}{FOS}= \sqrt{ 110^2+100^2-110*100+3(0)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D%20%5Csqrt%7B%20110%5E2%2B100%5E2-110%2A100%2B3%280%29%5E2%7D)
![\dfrac{350}{FOS}= \sqrt{ 12100+10000-11000](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D%20%5Csqrt%7B%2012100%2B10000-11000)
![\dfrac{350}{FOS}=105.3565](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D105.3565)
![FOS=\dfrac{350}{105.3565}](https://tex.z-dn.net/?f=FOS%3D%5Cdfrac%7B350%7D%7B105.3565%7D)
FOS =3.322
USing the maximum-shear stress theory;
![\dfrac{350}{2 FOS} =\sqrt{ (\dfrac{110-100}{2})^2+ (0)^2](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D%5Csqrt%7B%20%28%5Cdfrac%7B110-100%7D%7B2%7D%29%5E2%2B%20%280%29%5E2)
![\dfrac{350}{2 FOS} ={ (\dfrac{110-100}{2})^2](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D%7B%20%28%5Cdfrac%7B110-100%7D%7B2%7D%29%5E2)
![\dfrac{350}{2 FOS} =25](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D25)
FOS = 350/2×25
FOS = 350/50
FOS = 70
c. σx = 90 MPa, σy = 20 MPa, τxy =−20 MPa
Using distortion- energy theory formula:
![\dfrac{350}{FOS}= \sqrt{ 90^2+20^2-90*20+3(-20)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D%20%5Csqrt%7B%2090%5E2%2B20%5E2-90%2A20%2B3%28-20%29%5E2%7D)
![\dfrac{350}{FOS}= \sqrt{ 8100+400-1800+1200}](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D%20%5Csqrt%7B%208100%2B400-1800%2B1200%7D)
![\dfrac{350}{FOS}= 88.88](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7BFOS%7D%3D%2088.88)
FOS = 350/88.88
FOS = 3.939
USing the maximum-shear stress theory;
![\dfrac{350}{2 FOS} =\sqrt{ (\dfrac{90-20}{2})^2+ (-20)^2](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D%5Csqrt%7B%20%28%5Cdfrac%7B90-20%7D%7B2%7D%29%5E2%2B%20%28-20%29%5E2)
![\dfrac{350}{2 FOS} =\sqrt{ (35)^2+ (-20)^2](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D%5Csqrt%7B%20%2835%29%5E2%2B%20%28-20%29%5E2)
![\dfrac{350}{2 FOS} =\sqrt{ 1225+ 400](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D%5Csqrt%7B%201225%2B%20400)
![\dfrac{350}{2 FOS} =40.31](https://tex.z-dn.net/?f=%5Cdfrac%7B350%7D%7B2%20FOS%7D%20%20%3D40.31)
![FOS} =\dfrac{350}{2*40.31}](https://tex.z-dn.net/?f=FOS%7D%20%20%3D%5Cdfrac%7B350%7D%7B2%2A40.31%7D)
FOS = 4.341
As a free and open operating system, Android allows app developers to generate new ideas and work with a wide range of smartphones to open up hardware options, as companies supply a great variety of devices to choose from and high-end devices become more affordable.25 Jan 2017