x1 L Figure 1: Cantilever beam. A cantilever beam of narrow rectangular cross-section of unit width is subjected to a constant shear stress, ory(x, H) = q, as shown in Fig. 1. (a) Derive the stresses using the Airy stress function = ax1x2+bx1x²+cx1x³+dx3 +ex3, where a, b, c, d, e are constants. conditions and use them to evaluate the constants. conditions nooded for determini dieplegomenta (b) Write the boundary (a) Spaif the hou

Elements Of Electromagnetics
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X2 A
Oxy
X1
L
q
A2H
Figure 1: Cantilever beam.
A cantilever beam of narrow rectangular cross-section of unit width is subjected to a constant
shear stress, Oxy(x, H) = q, as shown in Fig. 1.
(a) Derive the stresses using the Airy stress function = ax1x2+bx1x² +cx1x³ +dx² +ex3,
where a, b, c, d, e are constants.
(b) Write the boundary conditions and use them to evaluate the constants.
(c) Specify the boundary conditions needed for determining displacements.
(d) Why do we not need higher order terms in o?
Transcribed Image Text:X2 A Oxy X1 L q A2H Figure 1: Cantilever beam. A cantilever beam of narrow rectangular cross-section of unit width is subjected to a constant shear stress, Oxy(x, H) = q, as shown in Fig. 1. (a) Derive the stresses using the Airy stress function = ax1x2+bx1x² +cx1x³ +dx² +ex3, where a, b, c, d, e are constants. (b) Write the boundary conditions and use them to evaluate the constants. (c) Specify the boundary conditions needed for determining displacements. (d) Why do we not need higher order terms in o?
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