2. (30 points) Use the double integration method to find the maximum deflection and slope of beam AB. The beam has a constant stiffness EI. (Hint: determine the loading on hinge B first). q B L * D L L
2. (30 points) Use the double integration method to find the maximum deflection and slope of beam AB. The beam has a constant stiffness EI. (Hint: determine the loading on hinge B first). q B L * D L L
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please answer in written notes clear please. Here are the steps to solve
1) solve external reactions
2)cut the beam in sections for moment equations
3) use the double integration method (slope is 1 integration of moment & deflection is 2nd integration of moment)
4) find the boundary conditions (at A x=0, v(0)=0 v'(0)=0, at B x=L -> v(0) left = v(0) right & v'(0) left = v'(0) right, at C x=2L , v(0) left = v(0) right & v'(0) left = v'(0) right) use these conditions to plug into equations of slope & deflection to find constants
5) Max deflection & slope is either at B or D so plug into the slope & deflcetion equations x=L and x=3L
Transcribed Image Text:2. (30 points) Use the double integration method to find the maximum deflection and slope of beam AB. The
beam has a constant stiffness EI. (Hint: determine the loading on hinge B first).
q
B
L
*
D
L
L
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