Hallo,

I am rather a beginner in Maple, so I will be grateful for understanding.

I try to solve the equation with one unknown. To create this equation I firstly had to solve the set of four equations so it is very complicated. Maple is able to create the plot of it but command fsolve is not sufficient to solve it. Here is my procedure:

restart:

z1:=H/mg*cosh(mg/H*(x+C11))-C21:

z2:=H/mg*cosh(mg/H*(x+C12))-C22:

tg_alpha1:=diff(z1,x):

tg_alpha2:=diff(z2,x):

r1:=H*subs(x=xP,tg_alpha2)-H*subs(x=xP,tg_alpha1)-P:

r2:=subs(x=0,z1):

r3:=subs(x=l,z2)-h:

r4:=subs(x=xP,z1)-subs(x=xP,z2):

mg:=2:l:=20:h:=5:xP:=l/5:P:=10:

C := solve({r1, r2, r3, r4}, {C11, C12, C21, C22}):

s1 := int(sqrt(1+(diff(subs(C, z1), x))^2), x):

s2 := int(sqrt(1+(diff(subs(C, z2), x))^2), x):

s := subs(x = xP, s1)-subs(x = 0, s1)+s2-subs(x = xP, s2):

eq1 := l0-subs(x = l, s):

l0 := 40:

plot(eq1, H=10 .. 11, colour = red);

H := fsolve(eq1 = 0, H = 10.7 .. 10.8);

I would be grateful for any help and indicating my mistakes.

Thanks

Iza