Question

Two steel rods each of cross sectional area 500mm^{2},
and an aluminium alloy rod, of cross sectional area 600
mm^{2} are cut to a length of 3m and attached to rigid end
plates to form a composite member.

If a tensile force of 100kN is applied to the member and at the same tie the temperature of the system is lowered by 20℃, determine the force developed in each of the rods and the extension of the member.

What further extension of the member will take place if the aluminium alloy is cut?

N/mm^{2}

N/mm^{2}

Answer #1

A brass rod and a lead rod, each 0.250 mm long and each with
cross-sectional area 2.00×10−4m22.00×10−4m2, are joined end to end
to make a composite rod of overall length 0.500 mm. The free end of
the brass rod is maintained at a high temperature, and the free end
of the lead rod is maintained at a low temperature. The temperature
at the junction of the two rods is 185.0∘C∘C and the heat current
due to conduction through the composite...

A steel bar has cross-sectional area A=10-3
m2, Young modulus E= 2 x 1011 Pa and
Poisson’s ratio of 0.4. The steel bar has a rectangular cross
sectional area.
a.
If the bar is subject to
a compressive force of 105 N, find the corresponding
longitudinal and transverse
strains.
[3 marks]
b. Two strain
gauges, each with unstrained resistance of 120 Ω and a gauge factor
of 2.0 are bonded on to the top surface of the steel bar....

Two parallel conducting plates, each of cross-sectional area
400cm^2 are 2.0 cm apart and uncharged. If 1.0×10^12 electrons are
transferred from one plate to the other, (a) what is the potential
difference between the plates? (b) What is the potential difference
between the positive plate and a point 1.25 cm from it that is
between the plates?

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