A general theory of elastic stability by J M T Thompson; G W Hunt

By J M T Thompson; G W Hunt

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13c). Although joints can be formed by riveting or bolting, welding greatly simplifies the fabrication of rigid joints in steel frames. (a) Plates or Slabs-Load Carried by Bending Plates are planar elements whose depth (or thickness) is small compared to their length and width. They are typically used as floors in buildings and bridges or as walls for storage tanks. The behavior of a plate depends on the position of SUPPOlts along the boundaries. If rectangular plates are sUPPOlted on opposite edges, they bend in single curvature (see Fig.

Except in short, heavily loaded beams, the shear stresses 7 produced by V are relatively small, but the longitudinal bending stresses produced by M are large. If the beam behaves elastically, the bending stresses on a cross section (compression on the top and tension on the bottom) vary linearly from a horizontal axis passing through the cen­ troid of the cross section. The bending stresses are directly propOltional to the moment, and vary in magnitude along the axis of the beam. Shallow beams are relatively inefficient in transmitting load because the arm between the forces C and T that make up the internal couple is small.

U . H . . . . . . . . . . . . . . . . u"'''n . . u ••• Loads Structures must be proportioned so that they will not fail or deform exces­ sively under load. Therefore, an engineer must take great care to anticipate the probable loads a structure must carry. Although the design loads speci­ fied by the cQdes are generally satisfactory for most buildings, the designer must also decide if these loads apply to the specific structure under consid­ eration.

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