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Structural Concrete - Hassoun

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3.4 Types of Flexural Failure and Strain Limits 89<br />

ε c < ε c ′<br />

f c < f c ′ f c ′<br />

x<br />

d<br />

N.A.<br />

A s<br />

ε s = ε t = f y /E s<br />

ε s = ε t = f y /E s<br />

f s < f y<br />

b<br />

f y f y<br />

Strain Stress At failure<br />

(a)<br />

f<br />

ε c ′ = 0.003<br />

c ′<br />

N.A.<br />

d<br />

A s<br />

f y<br />

b<br />

Strain<br />

Stress<br />

(b)<br />

ε c ′ = 0.003<br />

f c ′<br />

d<br />

N.A.<br />

A s<br />

b<br />

ε s = ε t ≤ ε y = f y /E s<br />

Strain<br />

(c)<br />

Stress<br />

Figure 3.3 Stress and strain diagrams for (a) tension-controlled, (b) balanced, and<br />

(c) compression-controlled sections.

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