Concrete Recap Workshop

Concrete tensile strength is the same as concrete flexural tensile strength

• True

• False

For a beam, if M*max < Mcr then

• The beam has cracked

• The beam has not cracked

• The beam fails in the ultimate limit state

I_cr is always smaller than I_g

• True

• False

The "dn" seen in this formula can be found by analysing

• The section in the uncracked stage

• The section in the cracked stage

• The section in the ultimate stage

How do I find "dn" in the uncracked stage?

(Singly reinforced beam)

• Transformed section method + centroid formula

• Transformed section method + centroid formula
  
  dn will be solved using the quadratic formula

• Taking the force equilibrium with the compressive concrete + tensile steel

• Taking the force equilibrium with the compressive concrete + tensile steel
  
  dn will be solved using the quadratic formula

How do I find "dn" in the cracked stage?

(Singly reinforced beam)

• Transformed section method + centroid formula

• Transformed section method + centroid formula
  
  dn will be solved using the quadratic formula

• Taking the force equilibrium with the compressive concrete + tensile steel

• Taking the force equilibrium with the compressive concrete + tensile steel
  
  dn will be solved using the quadratic formula

How do I find "dn" in the ultimate stage?

(Singly reinforced beam)

• Transformed section method + centroid formula

• Transformed section method + centroid formula
  
  dn will be solved using the quadratic formula

• Taking the force equilibrium with the compressive concrete + tensile steel

• Taking the force equilibrium with the compressive concrete + tensile steel
  
  dn will be solved using the quadratic formula

How do I find "dn" in the ultimate stage?

(Double reinforced beam)

• Transformed section method + centroid formula

• Transformed section method + centroid formula
  
  dn will be solved using the quadratic formula

• Taking the force equilibrium with the compressive concrete + tensile steel + compressive steel

• Taking the force equilibrium with the compressive concrete + tensile steel + compressive steel
  
  dn will be solved using the quadratic formula

N12 bars and R12 bars...

• Share the same bar size and fsy.f (stirrup) yield strength

• Differ in same bar size as well as fsy.f (stirrup) yield strength

• Share the same bar size but differ in fsy.f (stirrup) yield strength

• Differ in same bar size but have the same fsy.f (stirrup) yield strength

The shear force envelope would require...

• SF @A from Case (a)
  
  SF @B(left) from Case (b)
  
  SF @B(right) from Case (c)
  
  SF @C(left) from Case (a)
  
  SF @C(right) from Case (a)

• SF @A from Case (a)
  
  SF @B(left) from Case (a)
  
  SF @B(right) from Case (c)
  
  SF @C(left) from Case (a)
  
  SF @C(right) from Case (a)

• SF @A from Case (c)
  
  SF @B(left) from Case (b)
  
  SF @B(right) from Case (c)
  
  SF @C(left) from Case (a)
  
  SF @C(right) from Case (a)

• SF @A from Case (c)
  
  SF @B(left) from Case (a)
  
  SF @B(right) from Case (c)
  
  SF @C(left) from Case (a)
  
  SF @C(right) from Case (a)