### Strength of Materials (Stresses in Beams)

Q.1. Which
of the following statements regarding assumptions in analysis of stressed beam
is false

(a) The
material is homogeneous and isotropic, so that it has the same elastic
properties in all directions

(b) Modules
of elasticity in tension and compression are equal

(c) The
radius of curvature of the beam before bending is equal to that of its
transverse dimensions

(d) Normal
sections of the beam, which were plane before bending, remain plane after
bending

Q.2. A
steel flat 10 cm wide and 2 cm thick is bent into a circular arc of 50 metres
radius. The maximum intensity of stress induced will be(E = 2.05 x 105 N/mm

^{2})
(a) 31
N/mm

^{2}
(b) 41
N/mm

^{2}
(c) 51
N/mm

^{2}
(d) 61
N/mm

^{2}
Q.3. A
strip of steel 1 mm thick is bent into an arc of a circle of 1 m radius. The maximum bending stress will be(E = 200
Gnm

^{-2})
(a) 25
MPa

(b) 50
MPa

(c) 64
MPa

(d) 100
MPa

Q.4. An
steel wire of 20 mm diameter is bent into a circular shape of 10 m radius. If E,
the modulus of elasticity is 2 x 106 kg/cm

^{2}, then the maximum stress induced in the wire is
(a) 10

^{3}kg/cm^{2}
(b) 2
x 103 kg/cm

^{2}
(c) 4
x 103 kg/cm

^{2}
(d) 6
x 10

^{3}(IES 1995)
Q.5. A
high strength steel band saw of 90 mm width and 0.5 mm thickness runs over a
pulley of 500 mm diameter. Assuming E = 200 Gpa, the maximum flexural stress
developed would be

(a) 100
MPa

(b) 200
MPa

(c) 400
MPa

(d) 500
MPa (IES 1998)

Q.6. A
mild steel fleet of width 120 mm and thickness 10 mm is bent into an arc of a
circle of radius 10 m by applying a pure moment M. If E is 2 x 10

^{5}N/mm^{2}, then the magnitude of the pure moment M will be
(a) 2
x 10

^{6}N-mm
(b) 2
x 10

^{5}N-mm
(c) 0.2
x 10

^{5}N-mm
(d) 0.2
x 10

^{4}N-mm (IES 1999)
Q.7. A
steel cantilever beam 5 m in length is subjected to a concentrated load of 1 kN
acting at the free end of the bar. The beam is of rectangular cross section, 50
mm wide by 75 mm deep. The stress induced in the beam will be

(a) 0

(b) 107
MPa

(c) 110
MPa

(d) 117
MPa

Q.8. A
beam of circular cross section is 200 mm in diameter. It is simply supported at
each end and loaded by two concentrated loads of 100 kN, applied 250 mm from
the ends of the beam. The maximum stress in the beam will be

(a) 63.6
MPa

(b) 31.8
MPa

(c) 17.6
MPa

(d) 0

Q.9. A
beam is loaded by a couple of 1 kNm at each of its ends. The beam is steel and
of rectangular cross section 25 mm wide by 50 mm deep. The maximum bending
stress will be

(a) 24
MPa

(b) 48
MPa

(c) 72
MPa

(d) 96
MPa

Q.10. A
beam 3 m in length is simply supported at each end and bears a uniformly
distributed load of 10 kN per metre of length. The cross section of the bar is
rectangular, 75 mm x 150 mm. Maximum bending stress in the beam will be

(a) 20
MPa

(b) 40
MPa

(c) 60
MPa

(d) 80
MPa

**Answers:**

1-c 2-b 3-d 4-b 5-b 6-b 7-b 8-b 9-d 10-b

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