Unsolvable Solver Section That Needs a Solve

I've avoided solvers since the begining. I never can get them to behave how I want. My most recent attemp to try and get over this self inflicted restriction (because solvers would be super useful) is shown below in a snapshot.. Any idea why it's not solving? U_max should be ~0.97 or something but even when I put in an initial guess it can't figure it out.

HELP!!!!!

https://preview.redd.it/94c5xqe1jhlg1.png?width=850&format=png&auto=webp&s=6d55d8ebaad8e48435644bbf48590092503242d9

Text output for anyone trying to re-create it:

R_u=30 kip

Φ=1

F_y=46 ksi

t=0.465 in

t_p=0.5 in

B=10 in

l_b=2 in*2+3 in*2 = 10 in

R_u=ΦR_n

ΦR_n=Φ*(F_y*t^2/(1-t_p/B))*(2*l_b/B+4*Sqrt(1-t_p/B)*Q_f)

Q_f=Sqrt(1-U_max^2)

Posted Feb 24, 2026, 6:25 PM UTC

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