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0800CET201122003

Take E -
1 = 18mm D2 = 12mm
A B ே
Figure 1

A rigid beam AB of length 2.4m is hinged at A and supported by two steel wires
as shown in fig:2. The steel wire CD has a length 6m and diameter 12mm
supports the beam at distance(AD) 0.6m from hinge A; the steel wire EF has a
length 3m and diameter 3mm supports the beam at distance(BF) 0.6m from end
B.. If the beam supports a concentrated load of 2.25kN at the end B, Calculate:

i) The tension in each wires

ii) The stress in each wires

iii) Deflection of beam at points D, F, & B.

Take E = 200GPa.

2.25

Figure 2
Module 2

A steel rod AB of length 900mm and diameter 25 mm has a bronze sleeve BC

of length 300mm and external diameter 30 mm securely bonded to it as shown
in fig:3. For a rise in temperature of 200 degree Celsius, calculate:

i) Stresses in steel rod and bronze sleeve respectively.

ii) Compressive force developed in bronze sleeve.

iii) Elongation of bronze sleeve

iv) Total elongation of steel rod

Take Es=200GPa , Ep=100GPa & as=1.2 x 105 per °C , ಊನ2.03 x 10° per °C

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