Metal Foams: A Design Guide

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68 Metal Foams: A Design Guide
M
M
;;; E = Youngs modulus (N/m 2 )
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2
F
F
q
2
F
F
F
t
q
q
F
M
M
M
B 1
3
8
2
48
384
5
192
384
Figure 6.2 Elastic bending of beams and panels
M
6
−
−
B 2
2
6
1
16
24
−
−
−
4
3
δ
θ =
F 3
= =
B1EI B1EI F 2
B 2EI
d = Deflection (m)
F = Force (N)
M = Moment (Nm)
= Length (m)
b = Width (m)
t = Depth (m)
θ = End slope (−)
I = See Figure 6.1 (m 4 )
=
M 2
M
B 2EI
y = Distance from N.A.(m)
R = Radius of curvature (m)
σ M E
= =
y I R