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A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If αsteel = 0.000012/C°, Esteel = 0.2 MN/mm2, the tensile force developed at a temperature of 50°C, is

A. 80 N/mm2

B. 100 N/mm2

C. 120 N/mm2

D. 150 N/mm2

Answer: Option C


This Question Belongs to Civil Engineering >> Theory Of Structures

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Comments ( 7 )

  1. Ashwin Aryan
    Ashwin Aryan :
    2 years ago

    Given,
    Es = 0.2 MN/mm² = 0.2x10^6 N/mm²
    α = 0.000012/C°
    T = 100 - 50 = 50 C°
    Tensile force = E x α x T
    = 0.2 x 10^6 x 0.000012 x 50 = 120 N/mm²

  2. Mushtaq Ahmad
    Mushtaq Ahmad :
    2 years ago

    Its very simple:
    Stress (sigma) = E × strain...........(i)
    And strain due to Temp changes = alpha × (delta T)
    Now delta T = 100-50 = 50°
    E = 0.2 × 10^6 N/mm^2
    Alpha =0.000012/c°
    Equation becomes
    Stress (sigma) = (0.2 ×10^6) × (0.000012 ×50°)
    = 120 N/mm^2

  3. Md Kausar
    Md Kausar :
    2 years ago

    Temperature (T1)=100°c
    Temperature (T2)=50°c
    Difference in temperature ∆T=100°-50°=50°c
    Length(L)=5m
    Area (A)=25mm2
    Alpha(a)=0.000012/°c=1.2×10to the power -5
    Esteel=0.2×10 to the power 6
    At temperature of 50°c,strain developed is
    ∆L/L=alpha(a)×∆T
    ∆L/L=1.2×10-5×50°c
    est=6×10 to the power -4
    Tensile stress developed in the steel
    Sigma st=Est×est
    =0.2×106×6×10-4
    =0.2×6×102
    =120N/mm2

  4. Mukundan Kumar
    Mukundan Kumar :
    3 years ago

    tharmal stress tensile/compressive = @.t.E ; where @ is the linear expansion ; t is the temprature increment ;E is the modulas of elasticity of given matarials then; given value @ = .000012/C ;E = .2MN/mm squre =.2*1000000 ; and t = 50 degree then @tE = .000012*50*.2*1000000 =120N/mm squre

  5. Munna Bhaiya
    Munna Bhaiya :
    3 years ago

    it is tensile stress not tensile force

  6. Revathi Potharlanka
    Revathi Potharlanka :
    5 years ago

    thermal stress = t*alfa*E =50 * 0.000012 * 0.2 * 10 power 6

  7. Subha Annadurai
    Subha Annadurai :
    5 years ago

    Anyone plzz post solution for this question

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