Test: Force Method of Analysis: General Procedure


10 Questions MCQ Test Structural Analysis | Test: Force Method of Analysis: General Procedure


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QUESTION: 1

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q.How many unknowns are there in the above figure?

Solution:

Answer: d
Explanation: 4 unknown forces are there, 3 forces and one moment.

QUESTION: 2

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q.The above structure is statically indeterminate.
State whether the above sentence is true or false.

Solution:

Answer: a
Explanation: 4 unknown forces and 3 reactions are there. So, it is statically indeterminate.

QUESTION: 3

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q.  This structure is made redundant by temporarily removing how many support reactions?

Solution:

Answer: a
Explanation: As the degree of indeterminacy is one, one of the support reactions is chosen to be redundant.

QUESTION: 4

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q.  Which of the following forces can’t be chosen to be redundant?

Solution:

Answer: b
Explanation: Load P can’t be chosen as this is the load causing deflection. Rest all support forces can be chosen to be redundant.

QUESTION: 5

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q.  Δ/ bb refers to displacement cause by By.
What does first b in Δ/ bb stands for?

Solution:

Answer: b
Explanation: First b refers to the point where load is specified, second B refers to the point where load is applied.

QUESTION: 6

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q. What is the compatibility equation for the above mentioned condition?

Solution:

Answer: a
Explanation: Both the displacement will be opposite in direction and equal in magnitude.

QUESTION: 7

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q. How much load acts and in which direction at point B for the displacement to be fbb?

Solution:

Answer: b
Explanation: Displacement caused by unit load acting in the direction of By is termed as fbb.

QUESTION: 8

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q. Which one of the following describes fbb?

Solution:

Answer: a
Explanation: Δ/ bb is actual displacement caused by By, and fbb is caused by unit load. So, its fbb times By Δ/ bb/By.

QUESTION: 9

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q. According to maxwell’s theorem:-

Solution:

Answer: c
Explanation: The displacement of a point B on a structure due to a unit load acting at point A is equal to the displacement of point A when the unit load is acting at point B

QUESTION: 10

In above figure, joint A is fixed and joint B is pinned. C lies in between A and B and a load of P are applied there.
Δb = Displacement caused when vertical support at point B is chosen to be neglected.
By = redundant force
Q. Maxwell’s theorem doesn’t apply when external moments are placed on the beam.
State whether the above statement is true or false.

Solution:

Answer: b
Explanation: It is also applicable when external moments are acting on the structure instead of forces.