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MVS ACADEMY CIVIL ENGINEERING GATE – 2019

Syllabus as per GATE – 2019

Concrete Structures:

41. Working stress, Limit state and Ultimate load design concepts; Design of beams,

slabs, columns; Bond and development length;

42. Prestressed concrete; Analysis of beam sections at transfer and service loads.

Steel Structures:

43. Working stress and Limit state design concepts; Design of tension and compression

members, beams and beam- columns, column bases; Connections - simple and

eccentric, beam-column connections, plate girders and trusses;

44. Plastic analysis of beams and frames.


Few Typical Questions with Solutions given module wise list for reference:

CONCRETE STRUCTURES

MODULE – 41

1) If we consider material safety factor as 1.0 instead of 1.5 in RCC beam for concrete,

find the area of stress block?

A) B) C) D)

Ans: B

Solution:

2) Grades are used. Find the % of steel

when section is balanced____________%

Ans: 0.957


Solution:

3) The maximum strain of concrete is 0.0030 and grade of concrete is M-20. If the depth

of neutral axis is 200mm. The material factor of safety of concrete is 1.3. Find the

area of stress block_________N/mm.

Ans: 1603

Solution:

(

)

(

)

4) The unsupported length of the column is 3 m. The size of the column is

. Find the minimum eccentricity for which column is to be designed ______

mm

Ans: 20


Solution:

(

)

(

)

5) A rectangular column section of 250 mm x 400 mm is reinforced with five steel bars

of grade Fe 500, each of 20 mm diameter. Concrete mix is M 30. Axial load on the

column section with minimum eccentricity as per IS : 456-2000 using limit state

method can be applied up to

A) 1707.37 B) 1805.30 C) 1806.40 D) 1903.7

Ans: A

Solution:


MODULE -42

6) As per IS 456:2000, for M20 grade concrete and plain bars in tension, the design bond

stress, . Further, IS 456:2000 permits this design bond stress value to

be increased by 60 % for HSD bars. The stress in the HSD reinforcing steel bars in

tension, . Find the required development length, , for HSD bars in

terms of the bar diameter, ____________

Ans: 46.875

Solution:

7) A rectangular concrete beam of width 120 mm and depth 200mm is pre-stressed by

pre-tensioning to a force of 150 kN at an eccentricity of 20mm. The cross sectional

area of the pre-stressing steel is 187.5mm2. Take modulus of elasticity of steel and

concrete as 2.1 × 105 MPa and 3.0×10

4 MPa respectively. The percentage loss of

stress in the pre-stressing steel due to elastic deformation of concrete is

A) 8.75 B) 6.125 C) 4.81 D) 2.19

Ans: B

Solution:


8) A concrete beam prestressed with a parabolic tendon is shown in the sketch. The

eccentricity of the tendon is measured from the centroid of the cross-section. The

applied prestressing force at service is 1620 kN. The uniformly distributed load of 45

kN/m includes the self-weight. The stress (in N/mm2) in the bottom fibre at mid-span

is

A) Tensile 2.90

B) Compressive 2.90

C) Tensile 4.32

D) Compressive 4.32

Ans: B

Solution:

where m =wl2/8 , Z =

bd2/6


-

9) In a pre-stressed concrete beam section shown in the figure, the net loss is 10% and

the final prestressing force applied at X is 750 kN. The initial fibre stresses (in

) at the top and bottom of the beam were:

A) 4.166 and 20.833

B) 4.166 and 20.833

C) 4.166 and 20.833

D) 4.166 and 20.833

Ans: D

Solution:

Prestressing force beforeloss

,


10) A concrete beam of rectangular c/s of size 120 mm (width) and 200mm (depth) is

prestressed a straight tendon to an effective force of 150 kN at an eccentricity of 20

mm below the centroidal axis in the depth direction. The stress at top and bottom

fibres of the section are (N/

A) 2.5 (c), 10 (c)

B) 10 (t), 2.5(c)

C) 3.5 (t), 3.75 (c)

D) 2.75 (c), 3.75(c)

Ans: A

Solution:

,

MODULE -43

11) Two plates, subjected to direct tension, each of 10 mm thickness and having widths of

100 mm and 175 mm, respectively are to be fillet welded with an overlap of 200 mm.

Given that the permissible weld stress is 110 MPa and the permissible stress in steel is

150 MPa, the length of the weld required using the maximum permissible weld size as

per IS:800-1984 is

A) 245.3 mm

B) 229.2 mm

C) 205.5 mm

D) 194.8 mm


Ans: D

Solution:

12) For the fillet weld of size's' shown in the figure the effective throat thickness is

A) 0.61 s B) 0.65 s C) 0.70 s D) 0.75 s

Ans: B

13) In a steel plate with bolted connections, the rupture of the net section is a mode of

failure under

A) Tension B) Compression C) Flexure D) Shear

Ans: A

14) Two plates are connected by fillet welds of size 10 mm and subjected to tension, as

shown in the sketch. The thickness of each plate is 12 mm. The yield stress and the

ultimate tensile stress of steel are 250 MPa and 410 MPa, respectively. The welding is

done in the workshop ( = 1.25). As per the Limit State Method of IS 800:2007,

the minimum length (rounded off to the nearest higher multiple of 5 mm) of each

weld to transmit a force P equal to 270 kN is


A) 100 mm B) 105 mm C) 110 mm D) 115 mm

Ans: B

Solution:

√

15) What is the strength of 20 mm diameter bolt (kN) of in lap joint of 12

mm thick plates. Assume pitch =50 mm, edge distance = 33 mm, net tensile stress

area of bolt = 245 and ultimate stress of plate is 410 MPa.

A) 45.26 B) 96 C) 90.52 D) 48

Ans: A

Solution:

√

√


(

(

)

(

)

(

MODULE – 44

16) Find the plastic modulus of triangle of base 200 and depth 300mm

Ans: 1.757

Solution:


(

)

(

[

]

17) Find the plastic modulus of circle of diameter 200mm in terms of

Ans: 1.333

Solution:

18) Find the shape factor for hollow for circle ‘D and d’ diameters?

A)

( )

(


B)

( )

(

C)

( )

(

D)

( )

(

Ans: A

Solution:

(

(

[

]

(

(

(

19) Find the shape factor for I-section given below.

A) 1.231

B) 2.453

C) 1.131

D) 2.343

Ans: C

Solution:


[ ]

= 1.131

20) Shape factors from increasing order for rectangle circle I-section and diamond

.

A) Circle, rectangle, diamond, I-section B) I-section, rectangle, circle, diamond

C) Rectangle, circle, I-section, diamond D) Diamond, Circle, rectangle, I-section

Ans: B

Solution:

I-section

I-

syllabus as per gate 2019 - mvsacademy.inmvsacademy.in/wp-content/uploads/2018/10/book-5.pdf ·...

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