A heavy brass bar has projections at its...

A heavy brass bar has projections at its ends as shown in the figure. Two find steel wires, fastened between the projections, are just taut (zero tension) when the whole systeam is at `0^(0)C`. What is the tensile stress in the steel wires when the temperature of the systeam is raised to `300^(0)C`?
Given that
`alpha_("brass") = 20 xx 10^(-6 ^(@))C^(-1)`
`alpha_("steel") = 12 xx 10^(-6@)C^(-1) Y_("steel") = 2 xx 10^(11) Nm^(-2)`

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The correct Answer is:

`48xx10^(7)Nm^(-2)`

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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) )

A fine steel wire of length 4 m is fixed rigidly in a heavy brass frame as ashown in figure . It is just taut at 20^(@)C . The tensile stress developed in steel wire it whole system is heated to 120^(@)C is :- ( Given alpha _("brass") = 1.8 xx 10^(-5) .^(@)C^(-1), alpha_("steel") = 1.2 xx 10^(-5) .^(@)C, Y_("steel") = 2 xx 10^(11) Nm^(-2), Y_("brass")= 1.7xx10^(7) Nm^(-2) )

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What should be the length of steel and copper rods at 0^(@)C that the length of steel rod is 5 cm longer than copper at all termperature? Given alpha_(Cu) = 1.7 xx 10^(5) .^(@)C^(-1) and alpha_(steel) = 1.1 xx 10^(5) .^(@)C^(-1) .

A steel tape placed around the earth at the equator when the temperature is 10^(@)C . What will be the clearance between the tape and the ground (assumed to be uniform) if the temperature of the tape rises to 40^(@)C ? Neglect expansion of the earth. Radius of earth at equator is 6400 km & alpha_(steel)= 1.2 xx 10^(-5)K^(-1)

A steel wire AB of length 100 cm is fixed rigidly at points A and B in an aluminium frame as shown in the figure. If the temperature of the system increases through 100^(@)C , then the excess stress produced in the steel wire relative to the aluminium? alpha_(Al) = 22 xx 10^(-6 //0) C and alpha_(steel) = 11 xx 10^(-6 //0) C young's Modulus of steel is 2 xx 10^(11) Nm^(-2) .

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