Introduction to Online Stress Function Polar Coordinates Tutor

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Introduction to online stress function polar coordinates tutor:

The stress polar coordinate system can be a 2-dimensional coordinate system. Stress in polar coordinates in which every point over a line or plane should be found out by between the distances from a fixed point to an angle from a fixed direction. Stress is the indispensable part of polar coordinates. The Displacements and stresses must be autonomous of angular location (θ) and there can be no twist (v θ must be zero).

Overview for online stress function polar coordinates:

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The fixed point (Equivalent to the source of the Cartesian or rectangular coordinate system) is known as the pole.

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The rays from the poles over the fixed directions are known as polar axis.

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The distance from the pole is called as the radial coordinate or radius in the system.

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The angles should be the angular coordinates or polar angles.

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The polar coordinates r and θ are specified in the terms of Cartesian coordinates by x = r cos θ

y = r sin θ

Here,

r = radius distance between the origin.

θ = the x-axis is counterclockwise angle.

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The radius r in the terms of x and y will be,

r = √ (x2 + y2)

θ = tan-1(y/x)

Here, ...

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...n polar coordinates:

1) Solving the subsequent rectangular coordinates to polar coordinate (3.5, 4.5)

Solution:

Given rectangular coordinates(x, y) = (7.8, 4.5)

R2= 7.82+4.52

R2= 60.84+20.25

R2= 81.09

R=9.004

q =tan-1 [(y/x)]

q = tan-1 [(4.5/7.8)]

q = 29.98°

The polar coordinates defined the (9.004, 29.98°)

2) Solving the subsequent rectangular coordinates to polar coordinate (1.5, 5.5)

Solution:

Given rectangular coordinates(x, y) = (1.5, 5.5)

R2= 1.52+5.52

R2= 2.25+30.25

R2= 32.5

R=5.7

q =tan-1 [(y/x)]

q = tan-1 [(5.5/1.5)]

q = 74.74°

The polar coordinates defined the (5.7, 74.74°)

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