Engineering Questions with Answers - Multiple Choice Questions

# Strength of Materials MCQs Deflection of Fixed Beam

1 - Question

In fixed beams, the maximum deflection at __________ is reduced.
a) Centre
b) Supports
d) Through out

Explanation: In fixed beams, the maximum bending moment developed at the centre is reduced. Hence it results in the reduction of deflection of a beam at its centre considerably.

2 - Question

Fixing couples means _____
a) End moments
b) Support couples
c) Support moments
d) End supports

Explanation: If the ends are built in, end moments are automatically developed. These moments are called as fixing couples or fixing moments or support moments.

3 - Question

Calculate the maximum bending moment in fixed beam for the following figure.<br/>

a) 17 kN-m<br/>
b) 12.5 kN-m<br/>
c) 15.625 kN-m<br/>
d) 18 kN-m

Explanation: For a fixed beam, the maximum bending moment is w×l / 8.
Maximum bending moment (M) = 25 × 5 / 8
= 15.625 kNm.

4 - Question

_________ is provided to prevent the debris from entering into the penstock.
a) Tash rack
b) Surge tank
c) Anchor blocks
d) Power house

Explanation: Trash rack is a structure which is provided to prevent the debris from entering into the penstock. The trash racks are usually located ahead of the gates. The debris which is collected on the trash rack may be removed either manually or with the help of automatic power driven racks.

5 - Question

__________ regulates the speed of turbine.
a) Tail race
b) Anchor blocks
c) Power house
d) Surge tank

Explanation: The surge tank controls the pressure variations in a penstock. Thereby the penstock is protected from effects of water hammer pressure. The surge tank is provided on large penstock to regulate the speed of the turbine.

6 - Question

The sheet of water flowing through a notch is called ________
a) Sill
b) Crest
c) Scour
d) Nappe

Explanation: The sheet of water flowing through notch or weir is called as the nappe or vein. The bottom of the notch or the top of the weir over which the water flows is known as the sill.

7 - Question

Which of the following is empirical formula coined by Francis?
a) 2.36 LH3/2
b) 1.84 LH3/2
c) 3.34 LH3/2
d) 1.96 LH3/2

Explanation: Francis proposed the following formula for discharge over rectangular weir by assuming Cd = 0.623
Q = 1.84 LH3/2
Where Q = discharge in m3/ s.

8 - Question

Calculate discharge of a weir 2 metre long with a water flow over a head of 250 mm use Francis formula.
a) 0.34 m3/s
b) 0.46 m3/s
c) 0.25 m3/s
d) 0.65 m3/s

Explanation: Given that:
Length of weir = L = 2m.
Head over the weir = 0.25 m
Using Francis formula; Q =1.84 LH3/2 = 1.84 × 2×(0.25)3/2.
Q = 0.46 m3/s.

9 - Question

1 litre = ____________ m3.
a) 104
b) 103
c) 10-3
d) 10-4

Explanation: 1 litre = 10-3m3.
For example, Q = 40 lit/min = 40/60 lit/sec = 0.67 × 10-3m3/sec.

10 - Question

In cipoletti weir, the side slopes are _______________
a) 1 in 3
b) 1 in 2
c) 1 in 5
d) 1 in 4

Explanation: A trapezoidal weir, which has side slopes of 1 horizontal to 4 vertical, is called as cipoletti weir. The discharge over a cipolletti weir is equal to the discharge over a rectangular Weir without end contractions.

11 - Question

The flow of thick oil through a small tube is an example for _________
a) Laminar flow
b) Turbulent flow
c) Rotational flow

Explanation: A flow is said to be laminar when the paths taken by the individual particles do not cross one another. It is also called as streamline flow. The flow of thick oil through a small tube is an example for laminar flow.

12 - Question

Flow in rivers is an example of __________ flow.
a) Rotational
b) Laminar
c) Compressible
d) Turbulent

Explanation: A flow is said to be turbulent when the liquid particles move in a zig-zag way and their paths also cross each other. The flow in rivers at the time of floods is a perfect example of turbulent flow.

13 - Question

What is the point of contraflexure in a fixed beam of span 5m?
a) 3m
b) 2.75 m
c) 3.75 m
d) 4 m

Explanation: The point of contraflexure from any support be 3×l / 4.
From support A = 3l/4 = 3×5/4 = 3.75 m.
From support B = 3l/4 = 3×5/4 = 3.75 m.

14 - Question

Water table should be at least __________ m below subgrade.
a) 1.5m
b) 3 m
c) 1.2 m
d) 2.5 m

Explanation: The top level of water table should be below the level of subgrade. Water table should be at least 1.2 metres below subgrade. If the soil is impermeable, the longitudinal and transverse drains have to be provided to lower the water table.

15 - Question

Torsteel is an example of _______
a) Elasticity
b) Plasticity
c) Malleability
d) Ductility

Explanation: Ductility is one of the mechanical properties of materials. It is defined as the property possessed by the material by which material can be drawn into thin wires after undergoing deformation without any rupture. Torsteel is an example of ductility property.

16 - Question

### Strength of Materials MCQs Analyse Indeterminate Beam

A beam which is supported on more than two supports is called as______
a) Fixed beam
b) Continuous beam
c) Cantilever beam
d) Simply supported beam

Explanation: A beam which is supported on more than two supports is known as a continuous beam. The intermediate supports of a continuous beam are always subjected to some bending moment.

17 - Question

Which of the following them is also known as multi span beam _______
a) Cantilever beam
b) Simply supported beam
c) Fixed beam
d) Continuous beam

Explanation: A continuous beam is a beam which is supported on more than two supports. It is also known as multi span beam. The degree of indeterminacy depends upon the number of supports and nature of supports.

18 - Question

In deflection of a continuous beam, when loaded there will be convexity upwards over _________ supports.
a) End
b) Alternate
c) Intermediate
d) Every

Explanation: When a continuous beam is loaded, the deflection of the beam takes place along the intermediate supports with convexity upwards.

19 - Question

The _________ is more over the supports then at midspan in continuous beams.
a) Slope
b) Bending moment
c) Deflection
d) Shear force

Explanation: The bending moment is more over the supports then at midspan in case of continuous beams and hence the weight of the beam does not materially affect the stresses in the beam.

20 - Question

Moment distribution method is also known as __________
a) Hardy Cross method
b) Macaulay’s method
c) Mohr’s Theorems method
d) Kennedy’s theory

Explanation: The moment distribution method is evolved by professor Hardy cross in 1932 and can be used with advantage to analyse statically indeterminate structures and frames with rigid joint this method is simple and involves a process of relaxation.

21 - Question

Which of the following device is not based on Bernoulli’s equation?
a) Venturimeter
b) Orificemeter
c) Hydraulic lift
d) Pitot tube

Explanation: Bernoulli’s equation is applied to incompressible liquid flow where energy consideration is involved. Some of the hydraulic devices which are based on Bernoulli’s equation are venturimeter, orificemeter, Pitot tube.

22 - Question

Pascal’s law is applied in ____________
a) Pitot tube
b) Hydraulic lift
c) Orificemeter
d) Venturimeter

Explanation: Hydraulic lift is an example of Pascal’s law. According to Pascal’s law the “At a given point, the force is applied in all directions” and the rest are the examples of Bernoulli’s equation.

23 - Question

Which of the following devices measures the velocity of flow?
a) Pitot tube
b) Venturimeter
c) Orificemeter
d) Hydraulic jacks

Explanation: A pitot tube is a device which is used for measuring the velocity of flow at any point in a pipe or channel. It is based on the principle that if the velocity of flow at any point becomes zero, the pressure there is increased due to the conversion of kinetic energy into pressure energy.

24 - Question

Which of the following is the coefficient of pitot tube?
a) 0.96
b) 0.98
c) 0.97
d) 0.95

Explanation: The velocity (V) = Cv (2gh)1/2.
Where Cv = coefficient of pitot tube = 0.98
h= difference between liquid levels in the pitot tube and piezometer.

25 - Question

Bernoulli’s equation is applicable only for ___________ flow.
a) Rotational
c) Compressible

Explanation: The Bernoulli’s equation has been derived on the assumption that the velocity is uniform over the section. The Bernoulli’s equation is applicable only for steady, incompressible and irrotational flows.

26 - Question

Flow of water when a tap is just open is an example of __________ flow.
a) Uniform
d) Turbulent

Explanation: The flow is said to be unsteady if at any point in flowing liquid any one or all flow characteristics change with time liquid that is flowing at a changing rate as in the case. The flow in the tap is just opened is a perfect example for unsteady flow.

27 - Question

A Straight cantilever of uniform area carries a udl over its entire length. If the free end of a cantilever is now prop at the level of the fixed end, the vertical force required at the prop be __________
a) 3/4 W
b) 3/8 W
c) 5/8 W
d) W

Explanation: Where, total load on beam = W = wl

Wl3/8EI = B×l3 / 3EI
Reaction at B = 3W/8.

28 - Question

____________ is used to empty a tank of water having no outlet.
a) Venacontracta
b) Syphon
c) Summit
d) Dyne

Explanation: A syphon is used to connect two different elevations separated by a mountain
They alsoFind out the elongation of a tie of 2m long, if the axial rigidity is 5000 × 104 mm2. The axial pull be 20 kN.
a) 0.8 mm
b) 0.6 mm
c) 0.5 mm
d) 1mm used to supply water to a town over a ridge and supply type of water having an outlet.

29 - Question

Find out the elongation of a tie of 2m long, if the axial rigidity is 5000 × 104 mm2. The axial pull be 20 kN.
a) 0.8 mm
b) 0.6 mm
c) 0.5 mm
d) 1mm

Explanation: Axial pull 20000N.
Elongation : Pl/ AE
Change in length = PL/ AE
= 20×10/500×11÷103.

30 - Question

Glass is an example of _________
a) Elastic
b) Brittle
c) Toughness
d) Hardness

Explanation: Brittleness is a property of a material by which It Breaks without much deformation produce his property generally considered to be highly objectionable in engineering.

31 - Question

### Strength of Materials MCQs Deflection of Continuous Beam

The maximum negative bending moment in fixed beam carrying udl occurs at ________
a) Mid span
b) 1/3 of the span
c) Supports
d) Half of the span

Explanation: In case of fixed beam subjected to gravity loads maximum hogging or negative bending moment develops at the supports. At centre, the maximum bending moment is reduced.

32 - Question

A fixed beam of the uniform section is carrying a point load at the centre, if the moment of inertia of the middle half portion is reduced to half its previous value, then the fixed end moments will ______
a) Increase
b) Remains constant
c) Decrease
d) Change their direction

Explanation: The flexural rigidity value is reduced in middle half portion of the second case fixed end moments which have developed in a beam section will be increases.

33 - Question

In propped cantilevers, the prop reaction is 3/8 wl.
a) True
b) False

Explanation: In propped cantilever beam net deflection at fixed end is zero therefore Rl3/3EI = wl4/8EI
R= 3wl/8.

34 - Question

A propped cantilever beam carrying total load “W” distributed evenly over its entire length calculate the vertical force required in the prop.
a) 3/4 W
b) W
c) 5/8 W
d) 3/8 W

Explanation: Therefore Total load on beam = W = wl

Rl3/3EI = Wl3/ 8EI.
R = 3W/8.
The vertical force required at the prop is 3W/8.

35 - Question

_____ is a small opening made in the bottom or sides of a tank.
a) Mouthpiece

• b) Orifice

• c) Sill

d) Sluice

Explanation: An orifice is defined as a small opening of any cross sections such as circular, square, triangular& rectangular etc. made in the walls or the bottom of a tank containing liquid in it through which the liquid flows.

36 - Question

A mouthpiece is a short length of a pipe which is not more than __________ times its diameter.
a) 3-4
b) 5-6
c) 1 -2
d) 2-3

Explanation: A mouth piece is defined as a short length of a pipe which is not more than two or three times its diameter, fitted to an orifice of same diameter provided especially in a tank containing liquid.

37 - Question

The section which has a minimum cross sectional are in a flow is known as _______
a) Vena contracta
c) Submergent
d) Upstream edge

Explanation: The section of the jet, at which the flow in a liquid has a minimum cross sectional area, is known as vena contracta. This is due to the fact that liquid particles do not change their directions abruptly.

38 - Question

Bell mouthed orifices can be categorised in according to ___________
a) Size
b) Shape
c) Shape of upstream
d) Nature of discharge

Explanation: The orifices are classified on the basis of their size, shape, shape of upstream edge and discharge conditions. According to shape of the upstream edge, the orifices are classified as sharp edged orifice and Bell mouthed orifice.

39 - Question

Which of the following is not a hydraulic coefficient?
a) Coefficient of contraction
b) Coefficient of discharge
c) Coefficient of viscosity
d) Coefficient of velocity

Explanation: Coefficient of viscosity can be defined as the shear stress required producing unit rate of angular deformation. It is also called as dynamic viscosity.

40 - Question

Theorotical velocity = _______
a) (2gh)1/3
b) (2gh)1/2
c) (2gh)1/4
d) 2gh

Explanation: The coefficient of velocity the ratio of actual velocity of the liquid to the theoretical velocity. Theoretical velocity = (2gh)1/2.
Where h = liquid head above the centre of orifice.

41 - Question

The value of Cv varies _______ to ________
a) 0.95 – 0.99
b) 0.93 – 0.95
c) 0.97 – 1
d) 0.94 – 0.96

Explanation: The value of coefficient of velocity (Cv) vary from 0.95 to 0.99 for different orifices depending on shape, size of the orifices and the head under which floor takes place.

42 - Question

The Cv taken for sharp edged orifice generally is _________
a) 0.97
b) 0.98
c) 0.95
d) 0.99

Explanation: The Cv taken for sharp edged orifice generally is 0.98.
Value For Sharp edged orifice Hydraulic coefficient
0.98 Cv
0.64 Ca
0.62 Cd

43 - Question

Coeffecient of discharge varies from ___________ to __________
a) 0.64 to 0.68
b) 0.61 to 0.65
c) 0.63 to 0.67
d) 0.67 to 0.7

Explanation: Coefficient of discharge is defined as the ratio between actual discharge from an orifice and its theoretical discharge. It varies from 0.61 to 0.65.Generally, the value for Cd = 0.62 Sir sharp edged orifice.

44 - Question

The relation between hydraulic coefficients is Cd = Cc × Cv.
a) False
b) True

Explanation: Cd = Qa / Qth
But Qa = ac V =(Cc a) × Cv × (2gh)1/2.
Qth = a Vth
Cd = Qa Qth = Cc a × Cv (2gh)1/2/a × (2gh)1/2.
Cd = Cc × Cv.

45 - Question

Calculate the actual velocity of jet if the coefficient of velocity is 0.97. The head of water on the orifice of diameter 2 cm is 6 m.
a) 11 m/s
b) 12 m/s
c) 10.5 m/s
d) 13 m/s