A steel beam with cross section `60cm^(2)` is fixed between two rigid clamps at `10^(@)C` When the beam is heated to `35^(@)C` ,the force exerted on the ends of the beam by the clamps is `(Y=2times10^(11)Pa, alpha=12times10^(-6)^@C^(-1)]`

A rod of aluminium is fixed between two rigid support. If the temperature of rod is increased by 10°C , then the thermal stress on the rod is (Take Y= 7×10^10 Pa and alpha =2.4* 10^-5 K^-1 )

A steel wire of cross-sectional area 0.5mm^2 is held between two fixed supports. If the wire is just taut at 20^@C , determine the tension when the temperature falls to 0^@C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5)C^(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2).

A steel rod of length 6.0 m and diameter 20 mm is fixed between two rigid supports . Determine the stress in the rod, when the temperature increases by 80^@ C if (a)the ends do not yield (b) the ends yield by 1mm Take Y=2.0xx10^(6) kg//cm^(2) and alpha=12xx10^(-6) per ^@C.

A steel wire of cross-sectional area 0.5mm^2 is held between two fixed supports. If the wire is just taut at 20^@C , determine the tension when the temperature falls to 0^@C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5 @)C(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2) .

A steel wire 2mm in diameter is just stretched between two rigid walls at 20°C. If the temperature falls to 10°C, find the tension in the wire. Linear coefficient of expansion of steel = 11 xx 10^(-6)//k and Y = 2 xx10^(11) N//m^(2)

A steel wire of length 20 cm and uniform cross section 1 mm^(2) is tied rigidly at both the ends. The temperature of the wire is altered from 40^(@) C to 20^(@)C Coefficient of linear expansion for steel alpha = 1.1 xx 10^(-5) l^(@)C and Y for steel is 2.0 xx 10^(11) N//m^(2) . The change in tension of the wire is

Two fines steel wires , fastened between the projectors of a heavy brass bar, are just taut when the whole system is at 0^(@)C . What is the tensile stress in the steel wires the temperature of the system is raised by 200^(@)C ? ( alpha_("glass") = 2 xx 10^(-5) ^(@)C ^(-1), alpha_("steel") = 1.2 xx 10^(-5)"^(@)C^(-1) , Y_("steel") = 200GNm^(-2) )

The temperature of a wire of length 1 metre and area of cross-section 1 cm^(2) is increased from 0^(@)C to 100^(@)C . If the rod is not allowed to increased in length, the force required will be (alpha=10^(-5)//.^(@)C and Y =10^(11) N//m^(2))

A uniform steel wire of cross-sectional area 0.20 mm^2 is held fixed by clamping its two ends. Find the extra force exerted be each clamp on the wire if the wire is cooled from 100^0C to 0^o C . Young's modulus of steel = 2.0 xx 10^11 N m^(-2) . Coefficient of linear expansion of =1.2 xx 10^(-5) C^(-1) .

A steel wire is heated to 170^(@)C and held between two rigid supports which are 20cm apart. The wire is allowed to cool to a temperature of 29.6^(@)C . If the frequency of the note produced when the wire is plucked at the middle is 100 k , then find the value of k . (The density D of steel is 7.8xx10^(3)kg//m^(3) and for steel alpha=16xx10^(-6)K^(-1) and Y of steel =20xx10^(10)Pa .).