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

1. 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 What will be rotation of beam AB at point A?\r\n

What will be rotation of beam AB at point A?


Hint Answer

2.
\r\n A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.\r\n What will be vertical force at point C?\r\n

A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.

What will be vertical force at point C?


Hint Answer

3. 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 rotation of beam BC at point C?\r\n
FEM = Fixed End MomentsWhat will be rotation of beam BC at point C?


Hint Answer

4. 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 value of mAB, after solving se equations?\r\n
FEM = Fixed End MomentsWhat will be value of mAB, after solving se equations?


Hint Answer

5.
\r\n A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.\r\n All moment options are in KNM.\r\n Take EI as constant.What will be rotation of beam CD at point D?\r\n

A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.
All moment options are in KNM.
Take EI as constant.What will be rotation of beam CD at point D?


Hint Answer

6. A and B are fixed supports.
A and B are fixed supports.\r\n \r\n If a beam has 4 external supports, n how many parts would it be divided in case of using slope deflection equations?\r\n
If a beam has 4 external supports, n how many parts would it be divided in case of using slope deflection equations?


Hint Answer

7. What is SI unit of stiffness coefficient?


Hint Answer

8.
\r\n A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.\r\n All moment options are in KNM.\r\n Take EI as constant.What will be FEM at point B in beam AB?\r\n

A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.
All moment options are in KNM.
Take EI as constant.What will be FEM at point B in beam AB?


Hint Answer

9.
\r\n A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.\r\n What will be value of rotation at point C?\r\n

A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.

What will be value of rotation at point C?


Hint Answer

10. 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 There will be one point of discontinuity in bending moment diagram of this question.\r\nState wher above statement is true or false.\r\n
There will be one point of discontinuity in bending moment diagram of this question.
State wher above statement is true or false.


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

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 What will be rotation of beam AB at point A?\r\n

What will be rotation of beam AB at point A?

;

\r\n A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.\r\n What will be vertical force at point C?\r\n

A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.

What will be vertical force at point C?

;

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 rotation of beam BC at point C?\r\n
FEM = Fixed End MomentsWhat will be rotation of beam BC at point C?

;

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 value of mAB, after solving se equations?\r\n
FEM = Fixed End MomentsWhat will be value of mAB, after solving se equations?

;

\r\n A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.\r\n All moment options are in KNM.\r\n Take EI as constant.What will be rotation of beam CD at point D?\r\n

A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.
All moment options are in KNM.
Take EI as constant.What will be rotation of beam CD at point D?

;

A and B are fixed supports.
A and B are fixed supports.\r\n \r\n If a beam has 4 external supports, n how many parts would it be divided in case of using slope deflection equations?\r\n
If a beam has 4 external supports, n how many parts would it be divided in case of using slope deflection equations?

;

What is SI unit of stiffness coefficient?

;

\r\n A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.\r\n All moment options are in KNM.\r\n Take EI as constant.What will be FEM at point B in beam AB?\r\n

A and B are fixed supports. B and C are roller supports. Roller support at point C is pushed downward by 0.1 m. AB = 24m, BC = 20m and CD = 15m.
All moment options are in KNM.
Take EI as constant.What will be FEM at point B in beam AB?

;

\r\n A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.\r\n What will be value of rotation at point C?\r\n

A and C are fixed supports. M acts at point B in clockwise direction. AB = BC = L. EI is constant throughout frame.

What will be value of rotation at point C?

;

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 There will be one point of discontinuity in bending moment diagram of this question.\r\nState wher above statement is true or false.\r\n
There will be one point of discontinuity in bending moment diagram of this question.
State wher above statement is true or false.

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