On the given beam, find the following unknowns using the slope-deflection method. Assume that E is constant. Provide a thorough and well-organized solution. 1. Fixed-end moment (FEM) on joint B of member AB in kN-m. Indicate negative sign if counterclockwise. FEMBA 2. Moment at joint D in kN-m. Indicate negative sign if counter-clockwise. MDB 3. Moment at joint B of member BC in kN-m. Indicate negative sign if counter-clockwise. MBC 4. Vertical reaction at roller A in kN. RA e. Vertical reaction at roller C in kN. RC
On the given beam, find the following unknowns using the slope-deflection method. Assume that E is constant. Provide a thorough and well-organized solution. 1. Fixed-end moment (FEM) on joint B of member AB in kN-m. Indicate negative sign if counterclockwise. FEMBA 2. Moment at joint D in kN-m. Indicate negative sign if counter-clockwise. MDB 3. Moment at joint B of member BC in kN-m. Indicate negative sign if counter-clockwise. MBC 4. Vertical reaction at roller A in kN. RA e. Vertical reaction at roller C in kN. RC
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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On the given beam, find the following unknowns using the slope-deflection method. Assume that E is constant. Provide a thorough and well-organized solution.
1. Fixed-end moment (FEM) on joint B of member AB in kN-m. Indicate negative sign if counterclockwise. FEMBA
2. Moment at joint D in kN-m. Indicate negative sign if counter-clockwise. MDB
3. Moment at joint B of member BC in kN-m. Indicate negative sign if counter-clockwise. MBC
4. Vertical reaction at roller A in kN. RA
e. Vertical reaction at roller C in kN. RC
Transcribed Image Text:5 m
21
25 kN/m
5 m
27 kN
3 m
21
5 m
Oc
I
27 kN
5 m
D
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Step 1: Introduce the problem statement
VIEWStep 2: Determine fixed end moments
VIEWStep 3: List equilibrium equations and boundary conditions
VIEWStep 4: Slope deflection equations
VIEWStep 5: Formulate equilibrium equations
VIEWStep 6: Determine the joint displacements
VIEWStep 7: Determine support moments
VIEWStep 8: Determine reactions at A
VIEWStep 9: Determine reactions at C
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