The beam shown below is built into the wall at A and is supported by vertical...

 

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The beam shown below is built into the wall at A and is supported by vertical rollers at B. The rollers allow vertical deflection but prevent rotation because they are widely spaced. The beam has length L, Young's modulus E and second moment of area I. a) In the table below, list the boundary conditions that the beam will satisfy at each support in the table below. Your response may be "no boundary condition" for some of these quantities. End A: Deflection: v= Slope: 0= End B: Deflection: v= Slope: 0 = b) Sketch a set of loading cases from the beam deflection tables that we could superimpose to analyze this system. c) Using expressions from the tables, write the compatibility condition that the superimposed cases from (b) will satisfy at location B. You do not need to fully solve for the support reactions or beam deflection. B The beam shown below is built into the wall at A and is supported by vertical rollers at B. The rollers allow vertical deflection but prevent rotation because they are widely spaced. The beam has length L, Young's modulus E and second moment of area I. a) In the table below, list the boundary conditions that the beam will satisfy at each support in the table below. Your response may be "no boundary condition" for some of these quantities. End A: Deflection: v= Slope: 0= End B: Deflection: v= Slope: 0 = b) Sketch a set of loading cases from the beam deflection tables that we could superimpose to analyze this system. c) Using expressions from the tables, write the compatibility condition that the superimposed cases from (b) will satisfy at location B. You do not need to fully solve for the support reactions or beam deflection. B