1. A metal wire 1 m long and of 2 mm diameter is stretched by a load of 40 kg. If
𝒀 = 𝟕 × 𝟏𝟎𝟏𝟎 𝑵 / (𝒎𝟐 ) for the metal, find the
(1) stress
(2) strain and
(3) force constant of the material of the wire.
2. What must be the elongation of a wire 5m long so that the strain is 1% of 0.1? If the wire has
cross-selection of 1mm² and is stretched by 10 kg-wt,
what is the stress?
3. A brass wire of length 2 m has its one end, fixed to a rigid support and from the other end a 4
kg wt is suspended. If the radius of the wire is 0.35 mm, find the extension produced in the
wire. 𝒈 = 𝟗. 𝟖
𝒎
𝒔𝟐
𝒀 = 𝟏𝟏 × 𝟏𝟎𝟏𝟎
𝑵
𝒎𝟐
4. A wire of length 1.5 m and of radius 0.4 mm is stretched by 1.2 mm on loading. If the Young's
modulus of its material is 𝟏𝟐. 𝟓 × 𝟏𝟎𝟏𝟎 𝑵 / (𝒎𝟐 )., find the stretching force.
5. What force is required to stretch a steel wire 1 cm2 in cross- section to double its length? Y =
𝒀 = 𝟐 × 𝟏𝟎𝟏𝟏
𝑵
𝒎𝟐
) Assume Hooke's law.
6. Find the maximum load which may be placed on a tungsten wire of diameter 2 mm so that the
permitted strain not exceed 1/1000. Young's modulus for tungsten = 𝒀 = 𝟑𝟓 × 𝟏𝟎𝟏𝟎
𝑵
𝒎𝟐
.
7. A wire 2 m long and 2 mm in diameter, when stretched by weight of 8 kg has its length
increased by 0.24 mm. Find the stress, strain and Young's modulus of the material of the wire.
𝒈 = 𝟗. 𝟖 𝒎 /𝒔𝟐 .
8. A wire of length 2 m and cross-sectional area 𝟏𝟎−𝟒 m² is stretched by a load 102 kg. The wire
is stretched by 0.1 cm. Calculate longitudinal stress, longitudinal strain and Young's modulus of
the material of wire.
9. A mild steel wire of radius 0.5 mm and length 3 m is stretched by a force of 49 N. calculate a)
longitudinal stress, b) longitudinal strain c) elongation produced in the body if Y for steel is
𝒀 = 𝟐. 𝟏 × 𝟏𝟎𝟏𝟏
𝑵
𝒎𝟐
1. A beam 6 m long, simply supported at its ends, is carrying a point load of 50 KN at its
center. The moment of inertia of the beam is 78 𝑥 106 𝑚𝑚4 . If E for the material of the
𝑁
beam = 2.1 𝑋 105
2 . Calculate deflection at the center of the beam and slope at the
supports.
𝑚𝑚
2. A beam carries 4 m long simply supported at its ends, carries a point load W at its center.
If the slope at the ends of the beam is not to exceed 1°, find the deflection at the center of
the beam.
3. A beam 3 m long, simply supported at its ends, is carrying a point load W at the center. If
the slope at the ends of the beam should not exceed 1° , find the deflection at the center of
the beam.
4. A beam of uniform rectangular section 200 mm wide and 300 mm deep is simply supported
at its ends. It carries a uniformly distributed load of 9 KN/m run over the entire span of 5
𝑁
m. if the value of E for the beam material is 1 𝑋 104
2 . , find the slope at the supports
and maximum deflection.
𝑚𝑚
5. A beam of length 5 m and of uniform rectangular section is simply supported at its ends. It
carries a uniformly distributed load of 9 KN/m run over the entire length. Calculate the
width and depth of the beam if permissible bending stress is 7 N/mm2 and central
deflection is not to exceed 1 cm.
6. A beam of length 5 m and of uniform rectangular section is supported at its end and carries
uniformly distributed load over the entire length. Calculate the depth of the section if the
𝑁
maximum permissible bending stress is 8
2 and central deflection is not to exceed 10
mm.
Take the Value of E= 1.2 𝑋 104
𝑚𝑚
𝑁
𝑚𝑚2