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FIG. 5-27 Bending of two separate beams

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## FIG. 5-27 Bending of two separate beams

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**Normal Strain**(tensile) Shear Strain**FIG. 5-26Shear stresses in a beam of rectangular cross**section**The shear stress at a distance y from the neutral axis is**given by: where t V is the internal shear force I is the moment of inertia of the entire cross-section about the neutral axis Q is the first moment of the sectioned area A’ about the neutral axis For derivation see Hibbeler page 375, 376**The beam is made from two boards. What is the maximum shear**stress in the glue required to hold the boards together along the seam where they are joined? Only vertical reactions occur at B&C. 1. Calculate the maximum shear stress 2. Calculate Q 3. Calculate shear stress Turn in one solution per group.**Shear Stresses In Beams**Recall from the example in the last lecture that: We can find a general expression for Q**Shear Stresses In Wide Flanged I-Beams**2 Flanges + Web. The shear stress distribution is now a little more complicated. You can calculate the shear stress as a function of position using**Calculate the shear stress if a load of 7kip is applied as**shown as a function of position in the beam every 0.5” between the top surface and the neutral axis. What is the maximum stress? Plot the data on the graph.