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Test: Plastic Analysis - 2 - Civil Engineering (CE) MCQ


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15 Questions MCQ Test GATE Civil Engineering (CE) 2025 Mock Test Series - Test: Plastic Analysis - 2

Test: Plastic Analysis - 2 for Civil Engineering (CE) 2024 is part of GATE Civil Engineering (CE) 2025 Mock Test Series preparation. The Test: Plastic Analysis - 2 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Plastic Analysis - 2 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Plastic Analysis - 2 below.
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Test: Plastic Analysis - 2 - Question 1

A propped cantilever beam of uniform moment capacity M0 is shown in figure below.

What is the collapse load W?

Detailed Solution for Test: Plastic Analysis - 2 - Question 1

Number of plastic hinges required for complete collapse - r + 1
= (3 - 2) + 1 = 2
The plastic hinges will be formed under the load and at the fixed end of the beam respectively.


But a = L and b = L/4


Test: Plastic Analysis - 2 - Question 2

A prismatic beam (shape factor, $) fixed at both ends carries UDL throughout the span. What is the ratio of collapse load to yield load?

Detailed Solution for Test: Plastic Analysis - 2 - Question 2

The collapse load for a prismatic beam fixed at both ends and caries UDL throughout the span is given by,


where Mp is its plastic moment.


Substituting value of S from (ii) in (iii), we get,

Substituting value of Mp from (i), we get,

Test: Plastic Analysis - 2 - Question 3

A simply supported beam of uniform cross-section has span L and is loaded by a point load P at its mid-span. What is the length of the elastoplastic zone of the plastic hinge?

Test: Plastic Analysis - 2 - Question 4

In a T-section shown in figure below, what is the distance of plastic neutral axis as measured down from top?

Detailed Solution for Test: Plastic Analysis - 2 - Question 4

Total area, A = 400 x 100 + 100 x 500
= 90000 mm2

Thus the plastic neutral axis lies outside the flange because the flange area is only 40000 mm2.
Let the plastic neutral axis lies y mm below the junction of flange and web.
∴ y x 100 = 45000 - 40000
⇒ y = 50 mm
∴ Plastic neutral axis as measured from top of flange = 100 + y
= 100 + 50 = 150 mm

Test: Plastic Analysis - 2 - Question 5

At the location of a plastic hinge,

Test: Plastic Analysis - 2 - Question 6

The mechanism method and the statical methods give

Detailed Solution for Test: Plastic Analysis - 2 - Question 6

The static method represents the lower limit to the true ultimate load and has a maximum factor of safety.

Test: Plastic Analysis - 2 - Question 7

Arrange the following cross-sections in the increasing order of their respective shape factors

Detailed Solution for Test: Plastic Analysis - 2 - Question 7

Test: Plastic Analysis - 2 - Question 8

Position of plastic hinge in the beam shown in figure subjected to collapse ioad will be

Detailed Solution for Test: Plastic Analysis - 2 - Question 8

Because maximum bending moment develops at end A and between mid span and end B.

Test: Plastic Analysis - 2 - Question 9

The plastic hinge formed in a collapse mechanism are 4 and the indeterminacy is 3. The collapse is

Detailed Solution for Test: Plastic Analysis - 2 - Question 9

If the number of plastic hinges in the collapse mechanism are less than (r + 1) the collapse is called partial collapse. In such a case, part of the structure may fail making it useless as a whole. If the number of plastic hinges in the collapse mechanism are (r + 1) the collapse is called complete collapse. Such a mechanism has only one degree of freedom. If the number of plastic hinges developed are more than (r + 1), the collapse is called over complete collapse. In such a case there are two or more mechanisms for which the corresponding value of the load is the same, this load value being the actual coljapse load.
If the degree of indeterminacy is r, and the number of plastic hinges developed is N then,
N < (r + 1) Partial collapse
N = r + 1 Complete collapse .
N > r + 1 Overcomplete collapse

Test: Plastic Analysis - 2 - Question 10

The effect of axial force and shear force on the plastic moment capacity of a section are 

Test: Plastic Analysis - 2 - Question 11

The plastic section modulus for a rectangular section of width b and depth d is

Test: Plastic Analysis - 2 - Question 12

Which of the following conditions is to be satisfied both in elastic and plastic analysis?

Test: Plastic Analysis - 2 - Question 13

Consider the following assumptions made in the plastic theory
1. Distribution of strain across the section is linear
2. There is an axis of symmetry in the cross- section
3. The influence of normal and shearing forces is neglected
4. Strain energy stored due to elastic bending is ignored

Which of these assumptions are correct?

Test: Plastic Analysis - 2 - Question 14

A continuous beam is loaded as shown in the figure below. Assuming a plastic moment capacity equal to Mp, the minimum load at which the beam would collapse is 

Detailed Solution for Test: Plastic Analysis - 2 - Question 14


For collapse in IJ

For collapse in HI


⇒ P = 8MP/L
∴ Minimum load for collapse = 6MP/L

Test: Plastic Analysis - 2 - Question 15

For an I-beam, shape factor is 1.12. The factor of safety in bending is 1.5. if the allowable stress is increased by 20% for wind and earthquake loads, then the load factor is 

Detailed Solution for Test: Plastic Analysis - 2 - Question 15


With increase in allowable stress, the factor of safety will reduce to 1.5/1.2 = 1.25.
∴ Load Factor = FS x shape factor
= 1.25 x 1.12
= 1.40

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