# Strength of Materials Questions and Answers – Deflection of Propped Cantilever

This set of Strength of Materials Multiple Choice Questions & Answers (MCQs) focuses on “Deflection of Propped Cantilever”.

1. The upward deflection caused by the prop is _____________
a) Pl3/2EI
b) Pl2/3EI
c) Pl3/3EI
d) Pl4/3EI

Explanation: The deflection developed by proper reaction at free end “y” = Pl3/3EI. A cantilever beam which is supported by an extra support when length of beam increases beyond limit is termed as propped cantilever in order to reduce the excessive deflection.

2. Stiffness of the propped cantilever is _________
a) 4EI/l
b) 6EI/l
c) 8EI/I
d) 5EI/l

Explanation: When is a structural member of uniform section is subjected to moment at one end then the moment develops which is required so as to rotate the end to produce unit slope. This is known as of the member. For propped cantilever, the stiffness is 4EI /l.

3. The major losses of energy due to friction are calculated by using _________
a) Ingli’s formulae
b) Emperical notations
c) Chezy’s Equation
d) Lacey’s Theory

Explanation: The major loss of energy is caused by friction and it is calculated by using either Darcy – Weisbach equation or chezy’s formula. The chezy’s formula V = C(mi)1/2. Formula for Darcy’s Weisbach equation is = 4fLV2 / 2gd.

4. The ratio of A/P is ___________
b) Arbitrary datum
c) T E L
d) H G L

Explanation: The ratio to the cross sectional area and wetted perimeter is called hydraulic radius. It is also known as hydraulic mean depth. It is denoted by m.

5. Determine the velocity of flow in a pipe if the discharge capacity is 270 litres per second and cross sectional area is 5 cm2.
a) 4.5 m/s
b) 5.4 m/s
c) 3.4 m/s
d) 2.5 m/s

Explanation: Discharge (Q) = 270 lit/sec = 270 × 10-3 = 0.27 m3/ s.
Velocity of flow in narrow pipe = Q / A
= 0.27/ 0.05 = 5.4 m/s.

6. Calculate the reaction at prop of cantilever, if the span of beam is 5m and load is 20 kN.
a) 4.25 kN
b) 5 kN
c) 6.25 kN
d) 8 kN

Explanation: For analysing the prop reaction for a cantilever beam at free end = P = 5W/16
P = 5 × 20 / 16
P = 6.25 kN.

7. The highest point on syphon is known as ____
a) Summit
b) Crown
c) Limb

Explanation: A siphon is a long bent pipe used to transfer water from one reservoir to the other reservoir which is located at different elevations. The highest point of the siphon is known as Summit.

8. The position between the summit and the lower reservoir is known as ___________
a) Inlet leg
b) Outlet leg
d) Datum

Explanation: The portion of the syphon which lies above the HGL has negative pressures and the portion between the summit and the lower reservoir is known as out let leg. At the summit the pressure is minimum.

9. Full form of TEL is _________
a) Total Emission Line
b) Thermal Electro Light
c) Total Energy Line
d) Total Electro Light

Explanation: TEL (Total Energy Line) is the line which is obtained by joining tops of all vertical ordinates showing the sum of pressure head and kinetic head from the centre of the pipe.

10. The sheet of water flowing through a notch is called Nappe.
a) True
b) False

Explanation: The sheet of water flowing through a notch or weir is called as Nappe or Vein. The bottom of the notch or the top of weir over which the water flows is known as the sill (or) crest and its height about the bottom of the tank or channel is known as sill height or crest height.

11. The width of broad gauge is ___________
a) 1.445m
b) 1.676m
c) 1 m
d) 0.61 m

Explanation: The width of broad gauge is 1.676m.

Types of Gauge Gauge Width
Narrow gauge 0.762 m
Light gauge 0.61 m

12. Which of the following gauge is the Indian Standard Gauge?
b) Narrow gauge
c) Light gauge
d) Metre gauge

Explanation: The Broad gauge is the Indian Standard gauge. It is widely accepted because of its complexity. The world standard gauge is 1.483 m. Broad gauge enables the rails to act as girders and transmit the wheel load to sleepers.

13. _____ is the weakest part in railway track.
a) Rail joint
b) Sleepers
c) Ballast
d) Spikes

Explanation: Rail joint is a joint made between two rails jointed together with two fish plates and for fish bolts, to form an expansion gap of 1.5 to 3 mm. Rain joint is the weakest part in railway track.

14. About 90% railway tracks laid with ___________ rails in the world.
a) DH rails
b) BH rails
c) FF rails
d) GH rails

Explanation: In flat footed rails, foot is made thinner and wider than head. These rails can be directly fixed to sleepers using slip spikes. This rail invented by Charles Vignoles and hence it is also known as Vignoles rails.

15. Brass is an example of ____________
a) Creep
b) Fatigue
c) Toughness
d) Hardness

Explanation: Toughness is a property of a material, which enables it to absorb energy without fracture. It exists due to impact loads. Hence this property is very desirable in every component subject to impact stock loadings.
Brass and Mild steel are examples of toughness.

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