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Displacement-Method-of-Analysis:-Slope-Deflection-Equations

1.
\r\n AB = 12m, BC= 8m\r\n Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.\r\n FEM represent fixed end moments.How many unknowns will be left finally which are non-zero?\r\n

AB = 12m, BC= 8m
Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.
FEM represent fixed end moments.
How many unknowns will be left finally which are non-zero?


Hint Answer

2. How many rotations are possible in case of 3 dimensional frame/beam?


Hint Answer

3.
\r\n AB = BC = CD = 20m\r\n All moment options are given in KN/m and all rotations in rad.\r\n EI is constant.How many total slope deflection equations will be written in this question?\r\n

AB = BC = CD = 20m
All moment options are given in KN/m and all rotations in rad.
EI is constant.
How many total slope deflection equations will be written in this question?


Hint Answer

4. A is a fixed support, while B and C are roller supports. Uniformly distributed load of 2KN/m is acting on span AB. Load of 12 kN acts at a point between B and C. AB = 24m, BC = 8m. Load of 24KN acts at centre of BC.
All moment options are given in kN-M.
A is a fixed support, while B and C are roller supports. Uniformly distributed load of 2KN/m is acting on span AB. Load of 12 kN acts at a point between B and C. AB = 24m, BC = 8m. Load of 24KN acts at centre of BC.\r\n All moment options are given in kN-M.\r\n \r\n Total how many equations will be generated?\r\n
Total how many equations will be generated?


Hint Answer

5. A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.
All moments options are in N-ft.
A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.\r\n All moments options are in N-ft.\r\n \r\n FEM = Fixed End MomentsWhat will be FEM at point B in beam AB?\r\n
FEM = Fixed End MomentsWhat will be FEM at point B in beam AB?


Hint Answer

6. A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.
All moments options are in N-ft.
A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.\r\n All moments options are in N-ft.\r\n \r\n FEM = Fixed End Moments\r\n What will be shear at point A?\r\n

FEM = Fixed End Moments What will be shear at point A?


Hint Answer

7. A and B are fixed supports.
A and B are fixed supports.\r\n \r\n If support B settles by 1mm downward, what is direction of rotation at point A?\r\n
If support B settles by 1mm downward, what is direction of rotation at point A?


Hint Answer

8.
\r\n \r\n \r\n AB = 12m, BC = 15m, CD = 18m\r\n Load of 40 kN is acting at joint B as shown.\r\n EI is constant throughout frame.\r\n All force options are given in KN and all moment options are given in KN-M.\r\n FEM represent fixed end moments.What will be value of FEMBC?\r\n

AB = 12m, BC = 15m, CD = 18m
Load of 40 kN is acting at joint B as shown.
EI is constant throughout frame.
All force options are given in KN and all moment options are given in KN-M.
FEM represent fixed end moments.
What will be value of FEMBC?


Hint Answer

9.
\r\n AB = 12m, BC= 8m\r\n Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.\r\n FEM represent fixed end moments.What will be value of rotation at point C?\r\n

AB = 12m, BC= 8m
Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.
FEM represent fixed end moments.
What will be value of rotation at point C?


Hint Answer

10.
\r\n AB = BC = CD = 20m\r\n All moment options are given in KN/m and all rotations in rad.\r\n EI is constant.What will be value of rotation at point A?\r\n

AB = BC = CD = 20m
All moment options are given in KN/m and all rotations in rad.
EI is constant.

What will be value of rotation at point A?


Hint Answer

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Topics

This Chapter Displacement-Method-of-Analysis:-Slope-Deflection-Equations consists of the following topics

Displacement Method of Analysis: Slope-Deflection Equations

\r\n AB = 12m, BC= 8m\r\n Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.\r\n FEM represent fixed end moments.How many unknowns will be left finally which are non-zero?\r\n

AB = 12m, BC= 8m
Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.
FEM represent fixed end moments.
How many unknowns will be left finally which are non-zero?

;

How many rotations are possible in case of 3 dimensional frame/beam?

;

\r\n AB = BC = CD = 20m\r\n All moment options are given in KN/m and all rotations in rad.\r\n EI is constant.How many total slope deflection equations will be written in this question?\r\n

AB = BC = CD = 20m
All moment options are given in KN/m and all rotations in rad.
EI is constant.
How many total slope deflection equations will be written in this question?

;

A is a fixed support, while B and C are roller supports. Uniformly distributed load of 2KN/m is acting on span AB. Load of 12 kN acts at a point between B and C. AB = 24m, BC = 8m. Load of 24KN acts at centre of BC.
All moment options are given in kN-M.
A is a fixed support, while B and C are roller supports. Uniformly distributed load of 2KN/m is acting on span AB. Load of 12 kN acts at a point between B and C. AB = 24m, BC = 8m. Load of 24KN acts at centre of BC.\r\n All moment options are given in kN-M.\r\n \r\n Total how many equations will be generated?\r\n
Total how many equations will be generated?

;

A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.
All moments options are in N-ft.
A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.\r\n All moments options are in N-ft.\r\n \r\n FEM = Fixed End MomentsWhat will be FEM at point B in beam AB?\r\n
FEM = Fixed End MomentsWhat will be FEM at point B in beam AB?

;

A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.
All moments options are in N-ft.
A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.\r\n All moments options are in N-ft.\r\n \r\n FEM = Fixed End Moments\r\n What will be shear at point A?\r\n

FEM = Fixed End Moments What will be shear at point A?

;

A and B are fixed supports.
A and B are fixed supports.\r\n \r\n If support B settles by 1mm downward, what is direction of rotation at point A?\r\n
If support B settles by 1mm downward, what is direction of rotation at point A?

;

\r\n \r\n \r\n AB = 12m, BC = 15m, CD = 18m\r\n Load of 40 kN is acting at joint B as shown.\r\n EI is constant throughout frame.\r\n All force options are given in KN and all moment options are given in KN-M.\r\n FEM represent fixed end moments.What will be value of FEMBC?\r\n

AB = 12m, BC = 15m, CD = 18m
Load of 40 kN is acting at joint B as shown.
EI is constant throughout frame.
All force options are given in KN and all moment options are given in KN-M.
FEM represent fixed end moments.
What will be value of FEMBC?

;

\r\n AB = 12m, BC= 8m\r\n Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.\r\n FEM represent fixed end moments.What will be value of rotation at point C?\r\n

AB = 12m, BC= 8m
Assume EI to be constant throughout. All moment options are given in N-m and all force options are given in N.
FEM represent fixed end moments.
What will be value of rotation at point C?

;

\r\n AB = BC = CD = 20m\r\n All moment options are given in KN/m and all rotations in rad.\r\n EI is constant.What will be value of rotation at point A?\r\n

AB = BC = CD = 20m
All moment options are given in KN/m and all rotations in rad.
EI is constant.

What will be value of rotation at point A?

;