OS-C501
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Offshore Standard DNV-<strong>OS</strong>-<strong>C501</strong>, November 2013<br />
Sec.9 Structural analysis – Page 140<br />
1 General<br />
1.1 Objective<br />
SECTION 9 STRUCTURAL ANALYSIS<br />
1.1.1 The aim of the structural analysis is to obtain the stresses, strains and displacements (denoted load effects<br />
in the following) in the structure as a result of loads and environmental conditions. The load effects are<br />
subsequently evaluated against failure criteria, see Sec.6. The following procedures are typically involved in<br />
such an analysis:<br />
— procedure to calculate load effects in the structure based on the loads<br />
— procedure to check for global or local failure.<br />
1.1.2 The objective of the present section is to provide methods to calculate the response, including evaluation<br />
of failure, of structures for specified loads, surrounding environments and boundary conditions.<br />
1.2 Input data<br />
1.2.1 The input data for the structural analysis should be established as described in the relevant parts of Sec.3.<br />
1.2.2 Environmental conditions should be converted into loads based on well established physical principles.<br />
Guidance may be found in Sec.3 and in relevant standards or guidelines.<br />
1.2.3 The boundary conditions should be selected carefully in order to represent the nature of the problem in<br />
the best possible way. It should be demonstrated that the chosen boundary conditions lead to a realistic or<br />
conservative analysis of the structure.<br />
1.2.4 Thermal stresses that result from production process or in service loading should be considered in all<br />
analysis.<br />
1.2.5 Stresses due to swelling from absorbed fluids should be included if relevant.<br />
1.2.6 The elastic properties of the materials constituting the structure should be taken as described in Sec.4 for<br />
laminates and Sec.5 for sandwich structures. In particular, time-dependent stiffness properties based on the<br />
expected degradation due to environmental and loading conditions should be considered. Local variations of<br />
these conditions should also be considered.<br />
1.2.7 Each ply should be described by 4 elastic constants (E 1 , E 2 , G 12 , ν 12 ) for in-plane 2-D analysis and by 9<br />
elastic constants (E 1 , E 2 , G 12 , ν 12 , E 3 , G 13, G 23 , ν 13 , ν 23 ) in 3-D analysis. A nomenclature for the various elastic<br />
constants is defined in section 14.<br />
1.2.8 As an alternative to elastic constants, the stiffness matrix for orthotropic plies may be used.<br />
1.2.9 It should be shown that the estimated stiffness gives conservative results with respect to load effects. The<br />
choice of stiffness values may be different in the cases of strength and stiffness limited design. More details are<br />
given in the sections below.<br />
1.3 Analysis types<br />
1.3.1 Analytical and/or numerical calculations may be used in the structural analysis. The finite element (FE)<br />
method is presently the most commonly used numerical method for structural analysis, but other methods, such<br />
as finite difference or finite series methods may also be applied.<br />
Guidance note:<br />
While the FE method is applicable for a wide range of problems, analytical solutions and the finite series approach<br />
often put too many restrictions on laminate lay-up, geometry etc., and are thus insufficient in the design of most real<br />
world composite structures.<br />
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1.3.2 Laminate analysis is an additional type of analysis that is applied to layered composites in order to derive<br />
the properties of a laminate from the properties of its constituent plies.<br />
1.3.3 The structural analysis should be performed for all phases over the entire lifetime of the structure. Initial<br />
and degraded material properties should be considered if relevant.<br />
1.3.4 A decision to use 2-D or 3-D analysis methods should generally be made depending on the level of<br />
significance of the through thickness stresses. If these stresses can be neglected, in-plane 2-D analysis may be<br />
applied. Additionally, the analysis of certain laminate and sandwich structures may be simplified by a through<br />
thickness (cross section) 2-D approach, in which plane strain condition is assumed to prevail.<br />
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