de compression. M(moment) elongation Simplified stresses Figure 4.3 Bending Representation -0 M T 0= 1×ecep t Γ1×ec 0 Figure 4.4 Stresses in Sandwich Structure To evaluate t and o,one makes the following simplifications: The normal stresses are assumed to occur in the facings only,and they are uniform across the thickness of the facings. The shear stresses are assumed to occur in the core only,and they are uniform in the core.' One then obtains immediately the expressions for t and o for a beam of unit width and thin facings shown in Figure 4.4. 4.2.2 Displacements In the following example,the displacement A is determined for a sandwich beam subjected to bending as a consequence of Deformation due to normal stresses o and Deformation created by shear stresses t (see Figure 4.5). 3 See Section 17.7.2 and the Applications 18.2.1 and 18.3.5 for a better approach. 2003 by CRC Press LLCTo evaluate t and s, one makes the following simplifications:
The normal stresses are assumed to occur in the facings only, and they are uniform across the thickness of the facings.
The shear stresses are assumed to occur in the core only, and they are uniform in the core. 3 One then obtains immediately the expressions for t and s for a beam of unit width and thin facings shown in Figure 4.4. 4.2.2 Displacements In the following example, the displacement D is determined for a sandwich beam subjected to bending as a consequence of
Deformation due to normal stresses s and
Deformation created by shear stresses t (see Figure 4.5). Figure 4.3 Bending Representation Figure 4.4 Stresses in Sandwich Structure 3 See Section 17.7.2 and the Applications 18.2.1 and 18.3.5 for a better approach. TX846_Frame_C04 Page 55 Monday, November 18, 2002 12:07 PM © 2003 by CRC Press LLC