147/3335–8FE Reference Handbook 10.4 · Civil · Concrete Properties

Handbook formula

Concrete Modulus of Rupture

ACI tensile bending strength used for cracking moment Mcr=fr Ig/yt. Lightweight λ<1. Splitting tensile fct≈6.7√f'c psi is a different test.

(psi)
Specified compressive strength
Lightweight modification

Step-by-step solved example

f'c=4000 psi, NWC λ=1. fr and Mcr for Ig=12000 in⁴, yt=12 in?

aA_sd
fr from f'c; Mcr = fr Ig/yt on the uncracked section.
  1. 1. fr

    7.5√4000=7.5×63.25=474 psi.

  2. 2. Mcr

    fr Ig/yt=474×12000/12=474,000 lb·in=39.5 kip·ft.

Answer: fr ≈ 474 psi, Mcr ≈ 39.5 kip·ft

10 practice questions

0/10 correct

1.√f'c with f'c=3600 psi is

2.Mcr uses the

3.λ=0.75 for

4.Direct tension of concrete is even lower than fr; design usually takes

5.SI: 0.62√f'c for f'c=25 MPa is nearest

6.Ig of a rectangle bh³/12 for 12×24 in is

7.Ec=w_c^{1.5} 33 √f'c is

8.Cracked-section analysis starts when

9.fr=7.5√f'c is in

10.Higher f'c increases fr only with