By Seun Sambath
Seun Sambath, PhD
Phnom Penh 2010
Address: #M41, St.308, Sangkat Tonle Basac, Khan Chamkarmon,
Phnom Penh, Cambodia.
Tel: 012 659 848.
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Additional resources for ACI 318-05 Mathcad in Concrete Structures
85 f'c R As = max ρ ρmin b d Step 3. 976 mm 25mm 2 11. Design of Doubly Reinforced Beams ρ ρmax : the beam is singly reinforced (with tensile reinforcements only) ρ ρmax : the beam is doubly reinforced (with tensile and compression reinforcements) A. 2) c ε's = ε u c = d' c d' c εu ε u ε's B. 85 β1 ρ' fy ε u ε y d ρ ρcy : compression steel will yield f's = fy ρ ρcy : compression steel will not yield f's fy C. Determination of Flexural Strength Given: b d d t d' As A's f'c fy Find: ϕMn Step 1.
85 f'c b a hf a hf : the beam is rectangular : the beam is tee Step 2. 5. Determination of Steel Area Given: M u b w d d t b h f f'c fy Find: As Step 1. 9 M u ϕMn : the beam is rectangular M u ϕMn : the beam is tee Step 2. 255 cm 2 13.
783 kN m D. Design of Doubly Reinforced Beam Given: M u b d d t d' f'c fs Find: As A's Step 1. 85 β1 fy ε u ε t ϕ = ϕ εt Step 2. 85 f'c b a M n = As fy d 2 M u ϕMn : the beam is singly reinforced M u ϕMn : the beam is doubly reinforced Step 3. 575 cm 2 E. Determination of Tensile Steel Area Given: M u b d d t d' A's f'c fy Find: As Step 1. 1. 2. 2 Step 2. 575 cm 2 12. 1. 2. 3. 4. Determination of Moment Capacity Given: b w d b d t h f As f'c fy Find: ϕMn Step 1.