Page 128 - Civil Engineering Formulas

70 CHAPTER TWO

TABLE 2.6 Crescent-Beam Position Stress Factors (see Fig. 2.23)*
k
Angle ,
degree Inner Outer
10 1 0.055 H/h 1 0.03 H/h
20 1 0.164 H/h 1 0.10 H/h
30 1 0.365 H/h 1 0.25 H/h
40 1 0.567 H/h 1 0.467 H/h
(0.5171 1.382 H/h) 1/2
50 1.521 1 0.733 H/h
1.382
(0.2416 0.6506 H/h) 1/2
60 1.756 1 1.123 H/h
0.6506
(0.4817 1.298 H/h) 1/2
70 2.070 1 1.70 H/h
0.6492
(0.2939 0.7084 H/h) 1/2
80 2.531 1 2.383 H/h
0.3542
90 1 3.933 H/h
*Note: All formulas are valid for 0 H/h 0.325. Formulas for the inner boundary,
except for 40 degrees, may be used to H/h 0.36. H distance between centers.
Compressive stress
M M
Tensile stress
L
(a)

M cr

β
M cr
(b)
FIGURE 2.24 (a) Simple beam subjected to equal end moments. (b)
Elastic lateral buckling of the beam.