Math in the Workplace: Overview

Math in the Workplace - Algebra/Geometry

Problem:

Determine the downward force (V) exerted on the pole by a down guy holding 3 conductors and determine the tension on the guy wire.

V (Vertical Force) =

(#of conductors) x T Tan ß

G (Guy Wire Tension) =

(# of conductors) x T Sin ß

T = Tension of each conductor = 4,073 lbs

H = Height of attachment = 35 ft

L = Length of anchor lead = 21 ft

Because this is a static system, the sum of
the horizontal forces = 0 and the sum of
the vertical forces = 0.

Solution:

Step one:

Determine β:

tan β =

opposite = 21’ adjacent 35’

β = Tan^-1 (0.6)

β = 31°

Step two:

Determine the guy wire tension G

We can get G by summing the horizontal forces.

∑ F (horizontal direction) = 0 because the system is static.

-G sin β + 3 (4073 lbs) = 0

G=	3 x 4073’ sin β

G=23, 750 lbs

Step three:

Determine the vertical force V:

We can get the compression force on the pole by summing the forces in the vertical direction.

∑ F (vertical direction) = 0 because the system is static.

-G cos β + V = 0

V= G cos β

V= 20,358 lbs

Math in the Workplace: Overview