Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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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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- Subject: Structural Theory 2 Task: Answer this question in different methods such as Double Integration method, area moment method, conjugate beam method, AND virtual work method.arrow_forwardA simply supported beam carries a moment applied to one end as shown. El is constant. a) Calculate the support reaction forces for the beam b) Write out the M(x) equation using discontinuity functions. c) Determine the slope and deflection equations by integrating the M(x) equation as needed and using two B.C. to solve for the integration constants, C1 and C2. d) Calculate the deflection at the mid-span of the beam. e) Check: Calculate the deflection at point B (right support). A 12Aarrow_forwardFor the beam shown, obtain: A). Applying the double integration method, the rotation in the left support (A), and the deflection in (C). B). Applying the moment of area method, the rotation in (D), and the maximum deflection between supports A and B. C). Applying the conjugate beam method, the rotation in (B), and the deflection in (D). Use the following Values: a = 1.75 m, q = 2.25 kN/m. E = 200 Gpa, |= 200 x10^6 mm^4 Note: Please provide the deflection results in mm and rotation in degrees. 90² qa A B D C аarrow_forward
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