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Transverse Shear

Transverse Shear. Built-up Beams and Shear Flow. Built Up Beams. Built up beams are made from two or more pieces of material joined together to form a single beam.

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Transverse Shear

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  1. Transverse Shear Built-up Beams and Shear Flow

  2. Built Up Beams • Built up beams are made from two or more pieces of material joined together to form a single beam. • Such beams can be constructed in a variety of shapes to meet structural needs and provide a larger cross section than ordinarily available. Figure 7-13

  3. Box Beam • Other examples are a wood box beam, constructed of two planks, which serve as flanges, and two plywood webs. • Pieces are joined together with nails, screws, or glue, in a manner that the entire beam acts as a single unit. • Box beams are also made from steel, plastic, and composites.

  4. Glulam Beam • A Glulam beam is made of boards glued together to form a much larger beam than could be cut from a tree. • Glulam beams are used in the construction of small buildings.

  5. Plate Girder • This is commonly used in bridges and large buildings. • The girders consist of three steel plates joined by welding. • They can be made in much larger sizes than available with wide-flange or I-beams.

  6. Built Up Beams • Built up beams must be designed so that the beam behaves as a single member • The design calculations involve two phases • Beam design as though made of one piece, looking at both bending and shear stresses • Connections between the parts (nails, bolts, welds, or glue) are designed to make sure the beam behaves as a single entity

  7. Built Up Beams • Connections must be strong enough to transmit the horizontal shear forces acting between the parts of the beam • To find these forces we use Shear Flow. • Recall: F3

  8. Shear Flow • Shear Flow q is the horizontal shear force per unit distance along the longitudinal axis of the beam. • Since the force acts along the distance dx, the shear force per unit distance is equal to:

  9. Shear Flow • Replacing dM/dx by the shear force V, and noting the first moment of area Q, we get the Shear Flow Formula.

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