Given: The building slab has four columns. F1 and F2 = 0. Find: The equivalent r

Question

Given: The building slab has four columns. F1 and F2 = 0. Find: The equivalent resultant force and couple moment at the origin O. Also find the location (x,y) of the single equivalent resultant force. Plan: Find FR Find MRO= (ri times Fi) = MRx i + MRy j The location of the single equivalent resultant force is given as x = MRy/FRz and y = MRx/FRz Lecture 6 Chapter 4: Force resultant FRO = {-50 - 20} - {-70 k) kN MRYO = 10*(-20) + 4*(-50) = -400 MRYO = 3*(-50) = -150 ={-150 i+ 400 j}kN.m The location of the single equivalent resultant force is given as, x =-MRyo/FRzo = -400/(-70) = 5.71 m y = MRxo/FRzo = (-150)/(-70) = 2.14 m Lecture 6 Chapter 4:Force resultant 1- why ? 2- I need another method to get this solve

Explanation / Answer

in 3 dimensional plane M=R*F Myj= X*Fz=(i*k)(XFz)=-XFzj so now -X= Myj/Fzj=My/Fz. =>X=-My/Fz. so this -ve sign in above expression explains the -ve sign of given problem. no why there is no -ve signin expression pf y can be explain by expression given below. Mxi=Y*Fz=(j*k)(YFz)=YFzi. => Y=Mxi/Fzi=Mx/Fz. where X ,Y are distance of a point measured from origin.

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