ACI 440.11-22 GFRP Beam Design — Reinforced Concrete Calculator

Project information

Appears on the printed calculation sheet

ProjectDesigned byChecked byDateRevision

Concrete properties

Ch. 19

Compressive strength, f'c (psi)Cl. 19.2.1Unit weight, wc (pcf)Concrete type, λCl. 19.2.3.1

Ec = 33·wc^1.5·√f'c3.834e+6 psiCl. 19.2.2.1

β₁ (stress block factor)0.8500T. 22.2.2.4.3

fr = λ·7.5·√f'c474.3 psiCl. 19.2.3.1

GFRP reinforcement properties

Ch. 20

Guaranteed tensile strength, f*fu (psi)ASTM D7957Modulus of elasticity, Ef (psi)Guaranteed bent strength, f*fb (psi)Stirrups — Cl. 20.2.2.4

CE (environmental reduction)0.85 (fixed)Cl. 20.2.2.3

ffu = CE·f*fu85,000 psiCl. 20.2.2.3

εfu = ffu/Ef0.013077

ffb = CE·f*fb51,000 psiCl. 20.2.2.4

fft = min(0.005Ef, ffb)32,500 psiCl. 20.2.2.6

Beam geometry

Total depth, h (in.)Width, bw (in.)Clear cover to stirrup (in.)Table 20.5.1.3.1Stirrup bar sizeLongitudinal bar size, dbNumber of tension bars, n Number of layers Clear spacing between layers (in.)Used only when layers > 1Beam span, L (in.)

d (effective depth)21.75 in.

Af = n·π/4·db² (4 – #6)1.767 in²

ρf = Af/(bw·d)0.006771

nf = Ef/Ec1.6952

Ig = bw·h³/1213,824 in⁴

Mcr = fr·Ig/yt546,442 lb-inCl. 24.2.3.5a

Applied loads

Cl. 5.3.1

Dead load, wD (kip/ft)Live load, wL (kip/ft)Sustained live load fraction, ψ Support conditionSustained load durationTable 24.2.4.1.3

wu = 1.2wD + 1.6wL5 kip/ft

Mu3.000e+6 lb-in

Vu (at support)50,000 lb

Vu,d (at d from face)40,938 lbCl. 9.4.3.2

Ms (service)2.100e+6 lb-in

Ms,sus1.260e+6 lb-in

Shear reinforcement

Ch. 22.5

Stirrup bar size (linked)Number of stirrup legs Stirrup spacing, s (in.)

Afv = n_legs·π/4·dv²0.2209 in²

s,max = min(d/2, 24 in.)10.88 in.Cl. 9.7.6.2.2

Disclaimer: This tool is provided for preliminary design and educational purposes only. All designs must be verified by a licensed Professional Engineer (PE or P.Eng.) before use in construction. The developers assume no liability for designs produced using this application. Always refer to the current edition of ACI CODE-440.11-22 for authoritative design provisions.