Page 12 - Mechanics of Structures – Chapter 1
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Mechanics of Civil Engineering Structures – Chapter 5




                       4. To calculate τ 2 and τ 6
                         Areas considered is above section 2 @ below section 6

                         A = 200 x 25 = 5000 mm
                                            2

                         y = distance of C.G of area considered from N.A

                            = (100 – 25/2)    = 87.5 mm


                       b = width of section (consider flange) = 200 mm
                                         .  .  
                         Substitute,  τ 2 =
                                            .  
                                        =  ( 12500)(5000)(87.5)   = 0.33 N/mm
                                                                 2
                                             6
                                     ((84.11   10 )(200))


                          5. To calculate τ 3 and τ 5

                          Areas considered is above section 3 @ below section 5

                                              2
                        A = 200 x 25 = 5000 mm

                        y = distance of C.G of area considered from N.A

                           = (100 – 25/2)    = 87.5 mm

                        b = width of section (consider web) = 25 mm

                                          .  .  
                        Substitute,  τ 3 =
                                              .  
                                      ( 12500)(5000)(87.5)
                                                                  2
                                          =             = 2.6 N/mm
                                       ((84.11   10 )(25))
                                                6
                            6. To calculate τ 4 @  τ max at Neutral Axis


                         τ4  =  τ3 + additional stress due to web portion
                                                                                                25       
                         where τ3  = stress due to flange                    75

                                              2
                          A = 75 x 25 = 1875 mm
                            75
                          y =    = 37.5 mm
                             2
                          b = 25 mm





               NHO JKA PSAS                                                                            Page 12
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