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Computer Programming Skills

MathCad

Solution by DF Sozinando Student at the Vaal University of Technology

*The water pressure acting on a masonry dam varies as shown. If the dam is 20m wide, determine the resultant force of the water pressure acting on the dam.

Computer Programming Skills

a := 12m

Solution by DF Sozinando Student at the Vaal University of Technology

MathCad

b := 7.5m

c := 12m

d := 6m

λo := 1217

N 2

λ := 750

m 2

θ := atan

2

r := ( a - d) + c

m

a - d

 = 26.565 deg  c 

1 A2 := w b 2

A1 := w r 1 F1 :=  A1  λ 2

A3 := b  w

(

F2 := A2  λo - λ

F3 := A3  λ

)

3

Fi := -F1 cos( θ) - F2 - F3 = -237.525  10 N 3

Fj := -F1 sin( θ) = -45  10 N 2

FR := Fi + Fj

2

3

FR = 241.75  10 N

r y1 := 3

b y2 := 2

(

)

( )

b y3 := 3

( )

ΣM x := F1  cos( θ)  y1 + b + F2 y2 + F3  y3

y :=

ΣM x FR

y = 6.164 m

N

6

ΣM x = 1.49  10 N  m

2

w := 20m