Page 88 - Fundamental Of Design In Mechanical Engineering
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Example 8






           A steel column is 3m long and 0.4m diameter.it carries a load of 50MN.
           Given that the modulus of elasticity is 200GPa, calculate the
           compressive stress and determine how much the column is
           compressed

           Solution


           A =   π   2  =  π  0.42  = 0.126m     2
                   4         4



                      50    106
                                                    6
           σ=  =                 = 397.9 x 10 Pa
                        0.126


                          σ
           E=  σ       ε= =     397.9    106  = 0.001989
               ε          ε      200    106



               δ
           ε=       δ = ε   = 0.001989 x 3000mm=5.97mm
                 



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