2001-02-12_HYDROLOGY - M1977378

• Permit No: M1977378
• IBM Index Class Name: HYDROLOGY
• Doc Date: 2/12/2001
• Doc Name: American Tunnel Bulkheads #2 and #3.
• From: John F. Abel, Jr.
• To: DMG
• Permit Index Doc Type: Hydrology Report
• Media Type: D
• Archive: No

American Tunnel bulkheads #2 & #3 Page 17 January 15, 2001
Appendix B. American Tunnel Bulkhead #3 design calculations
Notation:
a= compression zone depth(in) minimum to balance rebar tension
A,= area of rebar b =beam width (1 ft)
b,V=web width(12 in) Bp=formation breakdown pressure (psi)
C = comp bending force(lb) c= centroidal distance(in)
D = dead load(n) d = distance, extreme compression fiber to
E= earthquake load (n) rebar centroid (in)
Em= earthquake mass ib ft Z) YE=total earthquake load (lb)
F =fluid load (a) FS =factor of safety
fI = concrete comp strength (3,000 psi) f� = square root of jr,
fj =concrete tensile strength (5 psi) f, = concrete shear strength (psi)
fy=rebar yield strength (60,000 psi) g= acceleration due to gravity (32.2 .ftC2
H= design water head (773 ft) h=tunnel height (15 ft)
I =moment of inertia K= (3.5—2.5 a")
L=bulkhead (beam)thickness Q=tunnel width (12 ft)
M=bending moment (ft lb) M.=nominal beam moment (ft lb)
M„=factored beam moment (ft lb) M.=earthquake beam moment (ft lb)
m, =minimum cover, form face to S = section modulus (in 3)
rebar surface (3.5 in) Si = line-of-sight distance(1630 ft)
T=tensile bending force(lb) U=required strength n
U.= earthquake required strength Vc=concrete shear strength (lb)
Vr,= nominal shear force(lb) V,= rebar shear strength(lb)
V.= factored shear force(lb) vs = rebar shear stress (psi)
W=total bulkhead load (lb) w=uniform load tbl
R
a = earthquake acceleration (0.0872 p= pressure head (335 psi)
pg = pressure gradient (R`� pw = "—'
b,„d
= strength reduction factors yw =water density(62.4PCF)
0.90 flexure rebar tension yc = concrete density (151PCF)
0.85 concrete shear yr = rock density(173 PCF)
0.65 plain concrete flexure as =flexure stress (psi)
co=uniform bulkhead design load Z =bulkhead design depth(115 ft)
Load factors (ACI 318, Sec 9.2.2, 9.2.3, 9.2.5)
Static fluid load factor(F) = 1.4;
Factor for fluid load under earthquake acceleration (F)= 1.05;
Earthquake accelerated load factor(E) = 1.40