Strength of Materials free Model online Test2

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1. A prismatic beam of length 1 and fixed at both ends carries a uniformly distributed load. The distance of points of contraflexure from either end is _____.
0.2071	0.2111
0.2771	0.251

2. A simply supported beam of length 1 carries a load varying uniformly from zero at left end to maximum at right end. The maximum bending moment occurs at a distance of _____.
1/V3 from left end	1/3 from left end
1/V3 from right end	1/3 from right end

3. A portion of a beam between two sections is said to be in pure bending when there is _____.
constant bending moment and zero shear force	constant shear force and zero bending moment
constant bending moment and constant shear force	none of the above

4. The ratio of width to depth of a strongest beam that can be cut out of a cylindrical log of wood is _____.
1/2	1/V2
1/3	2/3

5. ______ Of the several prismatic beams of equal lengths, the strongest in flexure is the one having maximum
moment of inertia	section modulus
tensile strength	area of cross-section

6. _____ Of the two prismatic beams of same material, length and flexural strength, one is circular and other is square in cross-section. The ratio of weights of circular and square beams is
1.118	1.342
1.000	0.793

7. A flitched beam consists of a wooden joist 150 mm wide and 300 mm deep strengthened by steel plates 10 mm thick and 300 mm deep one on either side of the joist. If modulus of elasticity of steel is 20 times that of wood, then the width of equivalent wooden section will be ___.
150 mm	350 mm
500 mm	550 mm

8. A beam of rectangular cross-section is 100 mm wide and 200 mm deep. If the section is subjected to a shear force of 20 kN, then the maximum shear stress in the section is _____.
1 N/mm2	1.125 N/mm2
1.33 N/mm2	1.5 N/mm2

9. A beam of square cross-section with side 100 mm is placed with one diagonal vertical. If the shear force acting on the section is 10 kN, the maximum shear stress is ______.
1 N/mm2	1.125 N/mm2
2 N/mm2	2.25 N/mm2

10. A prismatic bar when subjected to pure bending assumes the shape of _____.
catenary	cubic parabola
quadratic parabola	arc of a circle

11. A beam of triangular cross section is placed with its base horizontal. The maximum shear stress intensity in the section will be _____.
at the neutral axis	at the base
above the neutral axis	below the neutral axis

12. A beam of uniform strength has at every cross-section same
bending moment	bending stress
deflection	stiffness

13. For no torsion, the plane of bending should ______.
be parallel to one of the principal axes	pass through shear centre of section
pass through neutral axis of the section	pass through centre of gravity of the section

14. Two beams, one of circular cross-section and other of square cross-section, have equal areas of cross-section. If subjected to bending
circular section is more economical	square section is more economical
both sections are equally strong	both sections are equally stiff

15. The portion, which should be removed from top and bottom of a circular cross section of diameter d in order to obtain maximum section modulus, is _____.
0.01 d	0.1 d
0.011 d	0.11 d

16. A beam of overall length / rests on two simple supports with equal overhangs on both sides. Two equal loads act at the free ends. If the deflection at the centre of the beam is the same as at either end, then the length of either overhang is ______.
0 152 1	0.207 1
0.252 1	0.277 1

17. A beam ABC rests on simple supports at A and B with BC as an overhang. D is centre of span AB. If in the first case a concentrated load P acts at C while in the second case load P acts at D, then the
deflection at D in the first case will be equal to the deflection at C in the second case	deflection at C in the first case is equal to the deflection at D in the second case
deflection at D in the first case will always be smaller than the deflection at C in the second case	deflection at D in the first case will always be greater than the deflection at C in the second case

18. If the deflection at the free end of a uniformly loaded cantilever beam is 15mm and the slope of the deflection curve at the free end is 0.02 radian, then the length of the beam is _____.
0.8 m	1 m
1.2 m	1.5m

19. If the deflection at the free end of a uniformly loaded cantilever beam of length 1 m is equal to 7.5 mm, then the slope at the free end is _____.
0.01 radian	0.015 radian
0.02 radian	none of the above

20. A cantilever beam carries a uniformly distributed load from fixed end to the centre of the beam in the first case and a uniformly distributed load of same intensity from centre of the beam to the free end in the second case. The ratio of deflections in the two cases is ____.
1/2	3/11
5/24	7/41

Strength of Materials Quiz practies questions test1

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1. Modulus of rigidity is defined as the ratio of ______.
longitudinal stress to longitudinal strain	shear stress to shear strain
stress to strain	stress to volumetric strain

2. If the Young's modulus of elasticity of a material is twice its modulus of rigidity, then the Poisson's ratio of the material is _____.
-1	-0.5
0.5	zero

3. Limit of proportionality depends upon ______.
area of cross-section	type of loading
type of material	all of the above

4. For an isotropic, homogeneous and elastic material obeying Hooke's law, number of independent elastic constants is ______.
2	3
9	1

5. In a thin cylindrical shell, the ratio of longitudinal stress to hoop stress is ______.
0.5	1
2	4

6. If all the dimensions of a prismatic bar are doubled, then the maximum stress produced in it under its own weight will
decrease	remain unchanged
increase to two times	increase to four times

7. The relationship between Young's, modulus of elasticity E, bulk modulus K and Poisson's ratio u is given by _____.
E = 2K(l-2u.)	E = 3K(l + u)
E = 3K(l-2u)	E = 2K(l + u)

8. Limiting values of Poisson's ratio are _____.
- 1 and 0.5	-1 and -0.5
1 and - 0.5	0 and 0.5

9. The elongation of a conical bar under its own weight is equal to ______.
that of a prismatic bar of same length	one half that of a prismatic bar of same length
one third that of a prismatic bar of same length	one fourth that of a prismatic bar of same length

10. If a material has identical properties in all directions, it is said to be _____.
homogeneous	isotropic
elastic	orthotropic

11. Two bars of different materials are of the same size and are subjected to same tensile forces. If the bars have unit elongations in the ratio of 4 : 7, then the ratio of moduli of elasticity of the two materials is
7:4	4:7
4:17	16:49

12. A prismatic bar of volume V is subjected to a tensile force in longitudinal direction. If Poisson's ratio of the material is u and longitudinal strain is e, then the final volume of the bar becomes
(l + e)(l-u)2V	(l-e)2(l + ue)V
(l + e)(l-ne)2V	(l-ue)3V

13. If a composite bar of steel and copper is heated, then the copper bar will be under _____.
tension	compression
shear	torsion

14. Effective length of a weld is equal to ______.
overall length - weld size	overall length - throat thickness
overall length - 2 x weld size	overall length - 2 x throat thickness

15. Size of a right angled fillet weld is given by _____.
0.707 x throat thickness	0.414 x throat thickness
2.0 x throat thickness	throat thickness

16. The effective length of a fillet weld designed to transmit axial load shall not be less than _____.
2 x size of weld	4 x size of weld
6 x size of weld	10 x size of weld

17. Size of fillet weld with unequal legs is equal to _____.
smaller leg length	longer leg length
throat thickness	average of smaller and longer leg lengths

18. Weakest section in a fillet weld is ______.
throat of the fillet	smaller side
side parallel to force	side perpendicular to force

19. Effective throat thickness of a fillet weld is _____.
0.707 x size of weld	1.414 x size of weld
a function of the angle between fusion faces	equal to the side of the fillet

20. According to Unwin's formula, the dia¬meter of rivet in mm to suit the t mm thickness of plate is given by _____.
6t	6Vt
1.9-y/t	1.5 t+ 4

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