Test: Methods of Indeterminate Analysis - 3 - Civil Engineering (CE) MCQ

# Test: Methods of Indeterminate Analysis - 3 - Civil Engineering (CE) MCQ

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Test: Methods of Indeterminate Analysis - 3 - Question 1

### Which one of the following statements is correct? The portal method of structural analysis is generally suitable for:

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 1

Portal method is used for low rise buildings with/without uniform framing.

Test: Methods of Indeterminate Analysis - 3 - Question 2

### Due to settlement of support at A of propped cantilever shown in the figure given below, what is the vertical reaction at B?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 2

Free body diagram of beam is shown in the figure.

Test: Methods of Indeterminate Analysis - 3 - Question 3

### For the beam shown below, what are the distribution factors at joint B?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 3

Stiffness of member BA = 4EI/8 = 0.5 El
Stiffness of member BC = 3EI/6 =  0.5 El
Distribution factors at joint S will be 0.5 , 0.5.

Test: Methods of Indeterminate Analysis - 3 - Question 4

A fixed beam AB with a central hinge C is built of two components. AC is rigid and CB has a moment of inertia I. When support A yields and rotates through θ, what-is the moment at B?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 4

When support A yields and rotates through θ, the whole beam AC rotates due to its rigidity. The deflection diagram of beam AB is

The rotation at end C of beam BC is θ,
Therefore moment at B is

Test: Methods of Indeterminate Analysis - 3 - Question 5

For a symmetrical continuous beam as shown in the figure given below, which one of the following is correct in respect of distribution factors at B?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 5

At joint B.

The distribution factors.

Test: Methods of Indeterminate Analysis - 3 - Question 6

What is the horizontal sway of the point A of the portal frame shown in the figure given below?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 6

Let the horizontal sway at A is Δ. So moment at ends A and C of column AC is
and  horizontal shear at C is
horizontal shear at support D is
From equilibrium of horizontal forces.

Test: Methods of Indeterminate Analysis - 3 - Question 7

What is the fixed end moment for the beam shown in the figure given below?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 7

As the beam and loading are symmetrical so fixed end moments will also be same. From Mohr’s theorem (the end rotations being zero) the area of free and fixed bending moment diagrams will be equal
Free moment diagram,

Fixed moment diagram,

Test: Methods of Indeterminate Analysis - 3 - Question 8

Unequal settlements in the supports of a statically determinate structure develop

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 8

In statically determinate structure, structure develop no reactions on settlement while in Statically in determinate structure , structure develop reactions.

Test: Methods of Indeterminate Analysis - 3 - Question 9

A fixed beam of span L is carrying a point load P at its mid-span. If the moment of inertia of the middle half length is two times that of the remaining length, then the fixed end moments will be

Test: Methods of Indeterminate Analysis - 3 - Question 10

A rigid-jointed plane frame as shown below

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 10

The frame will sway towards the side which has lesser I/L (relative stiffness).

Test: Methods of Indeterminate Analysis - 3 - Question 11

If a point load acting at the mid-span of a fixed beam of uniform section produces fixed end moments of 60 kN-m, then the same load spread uniformly over the entire span will produce fixed end moments equal to

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 11

’Fixed end'moment due to central point load,
M1 = PL/8 = 60 kNm
The fixed end moment due to uniformly distributed load is PL/12. Thus it is equal to 40 kN-m.

Test: Methods of Indeterminate Analysis - 3 - Question 12

Consider the following statements:
Hardy Cross method of moment distribution can be applied to analyze
1. Continuous beams including non-prismatic structures
2. Continuous beams with prismatic elements
3. Structures with intermediate hinges
4. Rigid frames

Which of these statements are correct?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 12

Hardy cross method or moment distribution method can be applied even when there is intermediate hinges.

Test: Methods of Indeterminate Analysis - 3 - Question 13

A plane frame is loaded as shown in figure. The rotations are indicated as θB and θC and sway is indicated by the symbol Δ. For the given frame which of the following statements is correct?

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 13

The structure is symmetrical but loading is anti- symmetrical about mid point of BC. If a symmetric structure is subjected to antisymmetric loading, the structural response is antisymmetric.
θB = -θC; Δ is present

Test: Methods of Indeterminate Analysis - 3 - Question 14

When a load is applied to a structure with rigid joints

Test: Methods of Indeterminate Analysis - 3 - Question 15

For the portal frame shown in figure below the final end moments are
MAB = 15 kNm
MBA = 10 kNm
MCD = 20 kNm
The magnitude of end moment at D(MDC) will be

Test: Methods of Indeterminate Analysis - 3 - Question 16

Bending moment diagram for the structure shown below is

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 16

⇒ VA x L + M = 0
∴ V= - M/L
AS VA+VC =0
⇒ VL = M/L
For span BC,

∴ Mc = - M
and

Test: Methods of Indeterminate Analysis - 3 - Question 17

The shear equation for the portal frame as shown below is

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 17

Taking moment of ail forces about C,

Test: Methods of Indeterminate Analysis - 3 - Question 18

Consider the following methods:
1. Slope deflection method
2. Three moment method
3. Column analogy method
4. Kani’s method

Which of the above method(s) is/are the force method of structural analysis

Test: Methods of Indeterminate Analysis - 3 - Question 19

A two span continuous beam ABC is simply supported at A and C and is continuous over support B. Span AB = 6 m, BC = 6m. The beam carries a UDL of 2 t/m over both the spans. EI is constant for the entire beam. The fixed end moment at B in span BA or BC would be

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 19

Using three moment theorem,

as MA = Mc = 0

or MB = 9 t . m .

Test: Methods of Indeterminate Analysis - 3 - Question 20

The rotation at joint B of portal frame shown in figure for members BA and BC will be

Detailed Solution for Test: Methods of Indeterminate Analysis - 3 - Question 20

Rotation at joint B for member BA and BC will be different as flexural rigidity of both members are different.

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