Question: The two-span steel beam shown below has a fixed support at A and roller support at D. The moment hinge at B makes the

The two-span steel beam shown below has a fixed support at A

 

The two-span steel beam shown below has a fixed support at A and roller support at D. The moment hinge at B makes the beam statically determinate. The beam has elastic modulus E-29000 ksi and second moment of area I-1200 in. A X1 5 ft w=0.6 kip/ft B 22 14 ft The numerical values for this beam should be the same as your Homework #1. The external reactions are RA=7.2 kip , MA=28.5 kip-ft, and RD-4.2 kip . 1. Draw the moment diagram by cantilevered parts at A. Note: The sum of the moment parts at B (the hinge location) should be zero. 2. Draw the moment diagram by cantilevered parts at B (the hinge location). 3. Write the moment function, M(x1), and curvature function, K (x1), for segment AB of the beam. Note: You can find the moment function using the methods you learned in statics. 4. Write the moment function, M2(x2), and curvature function, K2(x2), for segment BD of the beam. 5. Write the three boundary conditions (two at A, one at D) and continuity condition at B for the beam. 6. Perform double integration to obtain the deflection function, u(x1), for span AB. 7. Perform double integration to obtain the deflection function, u2(x2), for span BD. 8. Report the magnitude (inch) and direction of the deflection at B (the hinge location). Answer: up=0.011017 inch

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