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Columns lecture#5

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Columns lecture#5

  1. 1. Engr. Ayaz Waseem ( Lecturer/Lab Engr., CED) Columns LECTURE # 5 CASE 4: DIVIDING POINT BETWEEN TRANSITION AND TENSION CONTROLLED FAILURE: In figure comparing ∆ a b c and ∆ c f g, we get, cdc − = 005.0003.0 ccd 005.0003.0003.0 =− dc 8 3 =       = da 8 3 1β ………………….. (1) Now, we know that in this case fs = fy. So, the only thing which is not known to us is fs′ .       ′− =′ a da s 1 003.0 β ε Now, If εs′ < εy , then fs′ = Es. εs′ If εs′ ≥ εy , then fs′ = fy So, using the values of fs (calculated from above step) and a (calculated from equation 1) we can find out Pn and Mn using load and moment equations respectively. CASE 5: Pn is given and Pn > Pnb: If Pn > Pnb , then we are in compression failure region. For this case we know that fs ≠ fy , but whether fs′ = fy or not, this we need to find out. 1

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