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4(L/k)2

(L/k)2

(L/k)2

(L/k)2

Euler stress

tt2E

tt2 E

2 tt2E

4;t2E

IT,

4 (L/k)2

(L/k)2

(L/k)2

(L/k)2

Here L is the length of the strut and the term L/k is known as the slenderness ratio. Validity limit for Euler formulae where C is a constant depending on the end condition of the strut. Rankine-Gordon Formula

where a = (oy/7t2E) theoretically but is usually found by experiment. Typical values are given in Table 2.2.

Table 2.2.

Material

Compressive yield stress (MN/m2)

a

Pinned ends

Fixed ends

Mild steel

0 0

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