Back to Sections

Type:ALLMCQNATMSQ

Engineering Mechanics(2)Solid Mechanics(12)Structural Analysis(17)Concrete Structures(12)Steel Structures(8)

Engineering Mechanics

2 Questions

GATE→2026→Structural Engineering→Engineering Mechanics

Q1

NAT[2 Marks]

Two identical blocks A and B connected by a rigid rod rest against vertical and horizontal planes. If sliding impends when $\theta = 45^{\circ}$, the coefficient of static friction is

Explanation

GATE→2022→Structural Engineering→Engineering Mechanics

Q2

MSQ[2 Marks]

A horizontal force $P$ applied to a homogeneous body of weight 25 kN with friction coefficient 0.3. Which statement(s) is/are correct?

(A)

Motion will occur by overturning

(B)

Sliding of body never occurs

(C)

No motion occurs for P <= 6 kN

(D)

Motion will occur by sliding only

Explanation

Solid Mechanics

12 Questions

GATE→2026→Structural Engineering→Solid Mechanics

Q3

MCQ[1 Mark]

A thin-walled spherical gas balloon of radius $R$ and wall thickness $t$ ($t \ll R$) is subjected to an internal (gauge) pressure $p$. The maximum tensile and shear stresses in the balloon wall are, respectively:

(A)

Zero and $pR/2t$

(B)

$pR/2t$ and Zero

(C)

$pR/2t$ and $pR/4t$

(D)

$pR/4t$ and Zero

Explanation

GATE→2026→Structural Engineering→Solid Mechanics

Q4

MCQ[1 Mark]

Black dot shown in the figure qualitatively represents the shear centre of the angle section. The option which represents the position of the shear centre is:

(A)

A

(B)

B

(C)

C

(D)

D

Explanation

GATE→2026→Structural Engineering→Solid Mechanics

Q5

NAT[2 Marks]

Homogeneous elastic rod AB connected to a spring BC between fixed supports. Rod area = $500 \text{ mm}^2$, $E = 60 \times 10^3 \text{ MPa}$, $\alpha = 12 \times 10^{-6}/^{\circ}\text{C}$. Spring stiffness $k = 2500 \text{ N/mm}$. Temperature increase = $100^{\circ}\text{C}$. Internal force in spring BC (in kN) is

Explanation

GATE→2024→Structural Engineering→Solid Mechanics

Q6

MCQ[1 Mark]

The 3D state of stress at a point is $\sigma = \text{diag}(10, 40, 0)$ MPa. The maximum shear stress at the point is

(A)

20 MPa

(B)

15 MPa

(C)

5 MPa

(D)

25 MPa

Explanation

GATE→2024→Structural Engineering→Solid Mechanics

Q7

MCQ[2 Marks]

Find the correct match between the plane stress states (P, Q, R, S) and Mohr's circles (I, II, III, IV).

(A)

(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)

(B)

(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)

(C)

(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)

(D)

(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)

Explanation

GATE→2024→Structural Engineering→Solid Mechanics

Q8

MCQ[2 Marks]

A fixed-end shaft PQR subjected to torque T at Q. If $T_P/T_R = 4$ and $J_1/J_2 = 2$, the ratio of lengths $L_1/L_2$ is

(A)

0.50

(B)

0.25

(C)

1.00

(D)

2.00

Explanation

GATE→2023→Structural Engineering→Solid Mechanics

Q9

MCQ[1 Mark]

A hanger made of two square cross-section bars loaded by three point loads. Maximum tensile stress (in $\text{N/mm}^2$) without stress concentration is

(A)

15.0

(B)

25.0

(C)

35.0

(D)

45.0

Explanation

GATE→2023→Structural Engineering→Solid Mechanics

Q10

NAT[2 Marks]

Infinitesimal stress element shown with given normal and shear stresses. Magnitude of maximum principal stress (in $\text{N/mm}^2$) is

Explanation

GATE→2023→Structural Engineering→Solid Mechanics

Q11

NAT[2 Marks]

Cross-section of girder symmetric about Y-Y axis. Moment of inertia about horizontal centroidal axis X-X (in $\text{cm}^4$) is

Explanation

GATE→2022→Structural Engineering→Solid Mechanics

Q12

MCQ[1 Mark]

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is 30.0 MPa. The value of maximum shear stress at this point is

(A)

7.5 MPa

(B)

15.0 MPa

(C)

30.0 MPa

(D)

22.5 MPa

Explanation

GATE→2022→Structural Engineering→Solid Mechanics

Q13

MCQ[1 Mark]

Consider the cross-section of a beam made up of thin uniform elements. The coordinates of the shear center of this cross-section are:

(A)

x=0, y=3a

(B)

x=2a, y=2a

(C)

x=-a, y=2a

(D)

x=-2a, y=a

Explanation

GATE→2022→Structural Engineering→Solid Mechanics

Q14

MCQ[2 Marks]

Semi-circular bar of radius R fixed at G with horizontal load P at H. Magnitude of axial force, shear force, and bending moment at Q ($\theta = 45^{\circ}$) are

(A)

P/\sqrt{2} kN, P/\sqrt{2} kN, PR/\sqrt{2} kN-m

(B)

P/\sqrt{2} kN, P/\sqrt{2} kN, 0 kN-m

(C)

0 kN, P/\sqrt{2} kN, PR/\sqrt{2} kN-m

(D)

P/\sqrt{2} kN, 0 kN, PR/\sqrt{2} kN-m

Explanation

Structural Analysis

17 Questions

GATE→2026→Structural Engineering→Structural Analysis

Q15

MCQ[2 Marks]

A plane truss consists of two members PQ and QR inclined at $45^{\circ}$ with hinge supports at P and R. After boundary conditions, the stiffness matrix is

(A)

$\frac{AE}{L}\begin{bmatrix}1&1\\1&1\end{bmatrix}$

(B)

$\frac{AE}{L}\begin{bmatrix}1&0.5\\0.5&1\end{bmatrix}$

(C)

$\frac{AE}{L}\begin{bmatrix}1&0\\0&1\end{bmatrix}$

(D)

$\frac{AE}{L}\begin{bmatrix}1&-1\\-1&1\end{bmatrix}$

Explanation

GATE→2026→Structural Engineering→Structural Analysis

Q16

MCQ[2 Marks]

The plane frame has a hinge and a roller support with applied loads. The absolute value of the maximum bending moment (in kN-m) in the frame is

(A)

165

(B)

150

(C)

240

(D)

195

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q17

MSQ[1 Mark]

Consider the frame under 100 kN-m couples at joints B and G. Which of the following statements is/are true:

(A)

Axial force is zero in member CD

(B)

Shear force is zero in member CD

(C)

There is no rotation in joint C

(D)

Bending moment in member BC at end C is more than 50 kN-m

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q18

MCQ[2 Marks]

In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to

(A)

0.254

(B)

0.267

(C)

0.398

(D)

0.421

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q19

MSQ[2 Marks]

Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:

(A)

Bending moment is zero between points A and C

(B)

There is a sudden jump in shear force at point D

(C)

There is a sudden jump in bending moment at point E

(D)

Bending moment is zero somewhere between points D and E

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q20

NAT[2 Marks]

For beam and loading shown, second derivative of deflection curve at mid-point of AC is given by $\alpha M_0 / 8EI$. Value of $\alpha$ is

Explanation

GATE→2025→Structural Engineering→Structural Analysis

Q21

NAT[2 Marks]

Rigid bar ABC supported by links BD and CE. If CE elongates by 5 mm due to load P, downward deflection of end A (in mm) is

Explanation

GATE→2024→Structural Engineering→Structural Analysis

Q22

NAT[1 Mark]

The plane frame has fixed support at A, hinge support at F, and roller support at I. Neglecting axial deformations, the degree of kinematic indeterminacy is

Explanation

GATE→2024→Structural Engineering→Structural Analysis

Q23

MCQ[2 Marks]

The continuous beam with a hinge, supports at A, B, and C, and UDL $q$ between A and B has support reactions:

(A)

$R_A = \frac{ql}{2}$; $R_B = \frac{5ql}{2}$; $R_C = -ql$

(B)

$R_A = -ql$; $R_B = \frac{5ql}{2}$; $R_C = \frac{ql}{2}$

(C)

$R_A = -\frac{ql}{2}$; $R_B = \frac{5ql}{2}$; $R_C = 0$

(D)

$R_A = \frac{ql}{2}$; $R_B = ql$; $R_C = \frac{ql}{2}$

Explanation

GATE→2024→Structural Engineering→Structural Analysis

Q24

NAT[2 Marks]

Plane truss with specified pin and roller supports subjected to 10 kN vertical and horizontal loads. The magnitude of vertical reaction at support L is

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q25

MSQ[1 Mark]

Consider the three structures (Structure I, II, III). Which of the following statements is/are TRUE?

(A)

Structure I is unstable

(B)

Structure II is unstable

(C)

Structure III is unstable

(D)

All three structures are stable

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q26

MCQ[2 Marks]

Pin-jointed truss with vertical load P at T. Vertical deflection of joint T is given as $k \frac{PL}{AE}$. The value of $k$ is

(A)

1.5

(B)

4.5

(C)

3.0

(D)

9.0

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q27

MSQ[2 Marks]

Consider the simply supported beam subjected to external moments $M$ at one-third spans. Which statements are TRUE?

(A)

Support reactions are zero

(B)

Shear force is zero everywhere

(C)

Bending moment is zero everywhere

(D)

Deflection is zero everywhere

Explanation

GATE→2023→Structural Engineering→Structural Analysis

Q28

NAT[2 Marks]

Idealized bridge truss loaded with 20 kN point loads at top chord joints. Force in member $U_2L_3$ (in kN) is

Explanation

GATE→2022→Structural Engineering→Structural Analysis

Q29

NAT[2 Marks]

Plane truss subjected to $P = 70$ kN ($a=2$ m, $b=3$ m). Magnitude of force in member EF (in kN) is

Explanation

GATE→2022→Structural Engineering→Structural Analysis

Q30

NAT[2 Marks]

Plane frame with fixed supports at H, K, G. Counter-clockwise moment M at F. Support moment at H is 10 kN-m. Magnitude of applied moment M (in kN-m) is

Explanation

GATE→2022→Structural Engineering→Structural Analysis

Q31

NAT[2 Marks]

Simply supported beam PQ. Truck with 100 kN and 200 kN axles (spacing 3 m) moves across. Maximum bending moment at point R (in kN-m) is

Explanation

Concrete Structures

12 Questions

GATE→2026→Structural Engineering→Concrete Structures

Q32

MCQ[1 Mark]

Which one of the following is utilized to determine the long-term deformation of concrete under sustained loading?

(A)

Creep

(B)

Shrinkage

(C)

Modulus of rupture

(D)

Split tensile strength

Explanation

GATE→2026→Structural Engineering→Concrete Structures

Q33

NAT[1 Mark]

The required centre-to-centre spacing of 10 mm diameter bars is 150 mm to resist the design moment in a concrete slab. Instead of 10 mm diameter bars, if 12 mm diameter bars of the same grade are used, the required centre-to-centre spacing (in mm) becomes

Explanation

GATE→2026→Structural Engineering→Concrete Structures

Q34

MSQ[2 Marks]

Select ALL CORRECT option(s) which can be considered to check whether flexural stresses in a prestressed concrete beam are within allowable limits at transfer and service stages:

(A)

Limiting zone for prestressing

(B)

Magnel's graph

(C)

Hoyer effect

(D)

Load balancing method

Explanation

GATE→2025→Structural Engineering→Concrete Structures

Q35

MCQ[1 Mark]

As per IS 456:2000 provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based on

(A)

calculated minimum bending moment

(B)

area of longitudinal steel provided in middle strip in shorter span

(C)

area of longitudinal steel provided in middle strip in longer span

(D)

prescribed minimum cross-sectional area of longitudinal steel for slabs

Explanation

GATE→2025→Structural Engineering→Concrete Structures

Q36

NAT[2 Marks]

RCC beam section 300 mm width, 700 mm depth, tension steel $2000\text{ mm}^2$. Modular ratio 12, $E_s = 200\text{ GPa}$. When extreme compression fiber strain is 0.0004, steel stress (in MPa) is

Explanation

GATE→2024→Structural Engineering→Concrete Structures

Q37

MSQ[1 Mark]

Consider a balanced doubly-reinforced concrete section. If material properties remain unchanged, for which case(s) will the section become under-reinforced?

(A)

Area of tension reinforcement is increased

(B)

Area of compression reinforcement is increased

(C)

Area of tension reinforcement is decreased

(D)

Area of compression reinforcement is decreased

Explanation

GATE→2024→Structural Engineering→Concrete Structures

Q38

NAT[2 Marks]

An inverted T-shaped prestressed beam with prestressing force at bottom kern point. Additional cracking moment (in kN-m) carried by B1 compared to B2 is

Explanation

GATE→2024→Structural Engineering→Concrete Structures

Q39

NAT[2 Marks]

A slab panel of effective depth 250 mm is reinforced with 0.2% main reinforcement using 8 mm diameter bars. Uniform center-to-center spacing (in mm) is

Explanation

GATE→2023→Structural Engineering→Concrete Structures

Q40

MCQ[1 Mark]

A singly reinforced concrete beam of balanced section (M20, Fe415). Maximum compressive strain in concrete and tensile strain in bars at ultimate state per IS 456:2000 are

(A)

0.0035 and 0.0038

(B)

0.0020 and 0.0018

(C)

0.0035 and 0.0041

(D)

0.0020 and 0.0031

Explanation

GATE→2023→Structural Engineering→Concrete Structures

Q41

MCQ[2 Marks]

Doubly reinforced RCC beam with Fe250 or Fe500 compression steel. As per IS 456:2000, in which type(s) of bars can compression stress reach design strength ($0.87f_y$)?

(A)

Fe250 plain bars only

(B)

Fe500 deformed bars only

(C)

Both Fe250 and Fe500

(D)

Neither Fe250 nor Fe500

Explanation

GATE→2022→Structural Engineering→Concrete Structures

Q42

MCQ[1 Mark]

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of

(A)

Young's modulus of reinforcement to Young's modulus of concrete

(B)

Young's modulus of concrete to Young's modulus of reinforcement

(C)

Shear modulus of reinforcement to shear modulus of concrete

(D)

Young's modulus of reinforcement to shear modulus of concrete

Explanation

GATE→2022→Structural Engineering→Concrete Structures

Q43

NAT[2 Marks]

RCC beam ($300 \times 580$ mm), M30 concrete, 1% tension steel (Fe415). Design shear strength = $0.66\text{ N/mm}^2$. Factored shear force = 440 kN. Spacing of 2-legged 10 mm stirrups (Fe415) is

Explanation

Steel Structures

8 Questions

GATE→2026→Structural Engineering→Steel Structures

Q44

NAT[1 Mark]

Two steel plates are connected together by a 5 mm fillet weld of length 150 mm to transfer a design load. If the size of the fillet weld is changed to 6 mm, the weld length (in mm) needed is

Explanation

GATE→2026→Structural Engineering→Steel Structures

Q45

NAT[2 Marks]

The cross-section of a steel T-beam with given dimensions has a plastic section modulus of $\times 10^4 \text{ mm}^3$ equal to

Explanation

GATE→2025→Structural Engineering→Steel Structures

Q46

NAT[2 Marks]

T-beam section with given dimensions. Neutral axis depth $\bar{y} = 18.75$ mm unyielding, $\bar{y} = 5$ mm fully yielded. Shape factor is

Explanation

GATE→2025→Structural Engineering→Steel Structures

Q47

NAT[2 Marks]

Built-up column with batten plates connected by 6 black bolts for longitudinal shear 70 kN and moment 10 kN-m. Minimum bolt value required (in kN) is

Explanation

GATE→2024→Structural Engineering→Steel Structures

Q48

MSQ[1 Mark]

Structural steel design and behavior principles select correct statements.

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Explanation

GATE→2023→Structural Engineering→Steel Structures

Q49

NAT[1 Mark]

Fillet-welded lap joint with effective length, weld size 8 mm, permissible stress 120 MPa. Safe load P (in kN) is

Explanation

GATE→2023→Structural Engineering→Steel Structures

Q50

MCQ[2 Marks]

Consider horizontal axis passing through centroid of the steel beam cross-section shown. What is the shape factor (rounded off to one decimal place)?

(A)

1.5

(B)

1.7

(C)

1.3

(D)

2.0

Explanation

GATE→2022→Structural Engineering→Steel Structures

Q51

MCQ[2 Marks]

Fillet weld lengths $L_1$ and $L_2$ required for joining angle section ISA $100 \times 100 \times 10$ to gusset plate to transmit full member strength.

(A)

541 mm and 214 mm

(B)

214 mm and 541 mm

(C)

380 mm and 151 mm

(D)

151 mm and 380 mm

Explanation