PRACTICE SET FOR STRENGGTH OF MATERIALS
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vse or tne column is subjected to moment. Ifthe intensity of bearing pressure due to axial
cqual to stress due to moment, then the bearing pressure between the base and the concrete Is
a) Uniform compression throughout b) Zero at one end and compression at the other end
c) Tension at one end and compression at the other end d) Compression, varying as aparaboliC proie
2. For a solid circular section of diameter d' the stress in a column will be compressive only if he
cccentricity of the line of action of the compressive force is within
a) d/4 b)d/8 c) d/6 d) d/16
5. Ifthe eccentricity of total self-weight W of a masonry dam at its base is eaual to one-fourth of base widtn
B, then the maximum pressure at the base is given by
a) 2W/3B b) 4 W/3B c) 5W/2B d) 8W/3B
4. For the design of acast iron member, the most appropriate theory of failure is
a) Mohr's theory b) Rankine's theory c) Maximum stress theory d) Maximum shear energy theory
5. If the Euler load for a steel column is 1000KN and crushing load is I500KN,the Rankine load is equal to
a) 2500KNb) 1500KN c) 1000KN d) 600KN
6. A hollow circular column ofinternal diameter d' and external diameter 1.5d' is subjected to
compresive load. The maximum distance of the point of application of load from the centre for no tension is
a)d/8 b) 13d/48 c) d/4 d) 13d/96
7. Ifthecrushing stress in the material ofa mild steel column is 3300kg/cm". Euler's formula for crippling
load is applicable for slenderness ratio equal to/greater than
a) 40 b) 50 c) 60 d) 80
8.Two steel columns P(length Land yield strength =250 Mpa) and Q(length 2L and yield strength 500
MPa) have the same cross-sections and end-conditions. The ratio of buckling load of column Pto that of
column Q is:
(A) 0.5 (B) 1.0(C) 2.0 (D) 4.0
9. The effective length of a column of length L fixed against rotation and translation alone end and free at
the other end is
(A) 0.5 L (B) 0.7 L (C) 1.414L (D) 2L
10.Cross-section of a column consisting of two steel strips, each of thickness t and width b. The critical
loads of the column with perfect bond and without bond between the strips are P and
ration P/Po is Porespectively. The
(A) 2 (B) 4 (C) 6 (D) 8
11. The effective length of acolumn in a reinforced concrete building frame, as per IS:
independent of the 456-2000, is
(a) Frame type i.e., braced (no sway) or un-braced (with sway) (b) Span of the beam
(c) Height of the column (d) Loads acting on the frame
12. A bar AB of diameter 40mm and 4m long is rigidly fixed at its ends. A
torque 600N-m is applied at a
section of the bar, 1m from end A. the fixing couples Ta and Tg at the supports A and B,
a) 200N-m and 400N-m b) 300N-m and 150N-m c) 450N-m and 150N-m d) 300N-m respectively
are
and 100N-m
13. If a shaft rotates at 100 r.p.m and is subjected to a torque of 3000N-m, the power
would be transmitted in KW
a)30r b) 207 c) 15n d) 10r
corresponding toa twist of one radian in a shaft over
lo ne tollowing terms represents the torque
its unit length?
a) Torsional stress b) Torsional rigidity c) Flexural rigidity d) Moment of resistance
IS. In a circular shaft of diameter d. subiected to a torque T. the maximum shear stress induced is
d
a) Proportional to d' b) Proportional to d c) Inversely Proportional to d) Inversely Proportional to
16. A cantilever circular shaft 3m long and 30mm diameter ( shear modulus G-80GPa) is subjected to
moment at a distance of 2 from fixed end. What are the maximum shear stresses developed at periphery of
shaft?
a) 20.6MPa b) 15.3MPa c) 7.4MPa d) zero:
17. What would be the shape of the failure surface ofa standard cast iron specimen subjected to torque?
a) Cup and cone shape at the centre b) Plane surface perpendicular to the axis of the specimen
c) Pyramid type wedge-shaped surface perpendicular to the axis of the specimen. ) Helicoidal surface at
45 to the axis of the specimen
18. The maximum shear stress in a solid shaft of circular cross-section having diameter subjected to a
torque Tis t. If the torque is increased by four times and the diameter of the shaft is increased by two times,
the maximum shear stress in the shaft will be
(A)2r (B) t (C) t/2 (D) /4
19. A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A twisting moment T
= 100 kN-m is applied at the free end. The torsional rigidity Gj is 50000 KN-mIrad. Following statements
are made for this shaft.
() The maximum rotation is 0.01 rad (II)The torsional strain energy is 1 kN-m With reference to the above
statements, which of the following applies?
(a) Both statements are true (b) Statement I is true but II is false (c) Statement II is true but I is false
(d) Both the statements are false
20. A thin cylinder of unit length, thickness't' and radius r is subjected to internal pressure 'p'. What is the
circumferential stress?
a) pr/2Et b) pr2t c) pr/t d) 2pr/t
21. Athin cylindrical tube closed at ends is subjected to internal pressure. Atorque is also applied to the
tube. The principal stresses developed are 80.0 units and 20.0 units respectively. If the yield stress is 240
units, then what is the factor of safety according to maximum shear stress theory?
a) 3.00 b) 4.00c) 5.00 d) 6.00
22. Athin cylinder ofthickness t, width 'b' and internal radius 'r' is subjected to a pressure 'p° on the
entire internal surface. What is the change in radius ofthe cylinder? ( Is the Poisson's ratio andE is the
modulus of elasticity)?
a) p'r(2-)Et b) prY(2-u)Et c) p'r(2-y)/2Et d) p(l-1)Etr
23. Athin cylindrical tube with closed ends is subjected to: Longitudinal stress =14N/mm'. Hoop stress
-2N/mm' Shearing stress = 8N/mm Then the maximum shearing stress is
a) 14N/mm' b) 12N/mm'c) 10N/mm² d) 8N/mm?
24. Which one of the following pairs is not correctly matched?
a) Lame's constants : thick cylinder b) Macaulay's method : deflectionof beam
c) Euler's method: theory of column d) Eddy's theorem : torsion of shafts
25. A thin-walled cylindrical tank of inside radius r is subjected sirultaneously to internal gas pressure
long
p and axial
compressive force F at its ends. In order to produce 'pure shear' state of stress in the wallof the
cylinder. F should bc
(a)zpr (b) 27 pr (c) equal to
3n pr (d) 4n
.
pr
IS replaced by acorresponding aluminum beam of same cross-sectional shape and
dimensions, and is subjected to same loading. The
maximum bending stress w
a) Be unaltered b) Increase c) Decrease d) Vary in portion to
their modulus of elasticlty
l.A Symmetrical I-section is subiected toshear force. The shear stress is induced across the section iS
maximum at which location?
EXtreme fibers b) At the bottom ofthe flanges in flanges c) At the btlom of the flanges in web portion
d) At the neutral axis.
8. In a plane strain situation in xy plane, the displacements at apoint are given as : u=(-2x+8y)x10" unit
= (-3x+Sy) x10°unit. What is the shearing strain?
a) 9x10 b) 7x10 c) 5x10* d) 3x10
29. Consider the following statements:
Inasimply supported beam subjected to uniformly distributed load thruughout the length, at which points is
the stress due to (i) flexure and (ii) shear equal to zero selectively:
1. Atsupport section at neutral fiber 2. At mid span section at neutral fber 3. At mid span section at top
fiber 4. Atsupport section at bottom fiber
Which of these statements is/are correct?
a) 1only b) 1and 2 c) 2 and 3 d) 2 and 4
30.A cantilever beam of T cross-section carries uniformly distributed load. Where does the maximum
magnitude of the bending stress occur?
a) At the top of cross-section b) At the junction of flange and web c) Atthe mid-depth point d) At the
bottom of the section
31. A point load applied at shear center induces
a) Zero Shear force b) zero bending c) Pure twisting d) pure bending
32. Amild steel bar ofsquare cross-section 40mmx 40mm is 400mm long, It is subjected to alongitudinal
tensile stres of 440N/mm' and lateral compressive stress of 200N/mn in perpendicular directions. E=2x10
N/mm, 0.3. What is the approximate elongation of the bar in the longitudinal direction?
a) 0.44mm c) 0.22nm b) 0.88mm d) Imm
33. If all the dimensions of a prismatic bar of square cross-section suspended freely from the ceiling of a
roof are doubled then the total elongation produced by its own weight will increase
a) Eight times b) Four times c) Three times d) Twotimes
34. A symmetricI-section (with width of each flange 50 mm, thickness of each flange 10mm, depth of web
= 100mm, and thickness of web 10mm ) of steel is subjected to a shear force of 100KN. Find the
of the shear stress(in MPa in the web at its junction with the top flange.
magnitude
(a) 71.11MPa (b) 61.11 MPa (c) 32.23 MPa (d) 43.12 MPa
35. Plane section remains plane' assumption in bending theory implies:
(A)Strain profile is linear (B) Stress profile is linear (C) Both strain and stress profiles are linear
(D) Shear deformations are neglected
36. The shear stress at the neutral axis in a beam of triangular section with a base of 40 mm and height 20
mm, subjected to a shear force of 3 kN is
(a) 3 MPa (b) 6 MPa (c) 10 MPa (d) 20 MPa
