2. (a)Determine if each of the following pin-jointed frameworks is statically determinate, redundant or a mechanism...
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2. (a)Determine if each of the following pin-jointed frameworks is statically determinate, redundant or a mechanism (unstable). If they do not comply with the configuration for statically determine pin-jointed frames, please indicate what modification(s) is/are required to make them comply? A E B C Fig. Q2a(i) D E F B C Fig. Q2a(ii) D A EQ E B C Fig. Q2a(iii) D Answer Frame 2a(i) 2a(ii) 2a(iii) Assessment r=3, j=15, m=27, dof=30 m+r=2j, statically determinate m+r=dof, stable r=3, j=16, m=30, dof=32 m+r>2j, statically indeterminate m+r>dof, stable r=3, j=15, m=26, dof=30 m+r <2j, statically determinate m+r (b) Figure Q2b shows a braced pin jointed portal frame ABCD supporting a uniformly distributed roof load of 5kN/m and a wind load of 2kN/m acting in the horizontal direction from left to right. (i) Draw the Free Body Diagram and determine the reactions. [8 marks] (ii) Determine the forces in all the members by using the method of joints and state whether they are tensile or compressive. [9 marks] 2 kN/m C A 4m D B www 5 kN/m 4m 2. (a)Determine if each of the following pin-jointed frameworks is statically determinate, redundant or a mechanism (unstable). If they do not comply with the configuration for statically determine pin-jointed frames, please indicate what modification(s) is/are required to make them comply? A E B C Fig. Q2a(i) D E F B C Fig. Q2a(ii) D A EQ E B C Fig. Q2a(iii) D Answer Frame 2a(i) 2a(ii) 2a(iii) Assessment r=3, j=15, m=27, dof=30 m+r=2j, statically determinate m+r=dof, stable r=3, j=16, m=30, dof=32 m+r>2j, statically indeterminate m+r>dof, stable r=3, j=15, m=26, dof=30 m+r <2j, statically determinate m+r (b) Figure Q2b shows a braced pin jointed portal frame ABCD supporting a uniformly distributed roof load of 5kN/m and a wind load of 2kN/m acting in the horizontal direction from left to right. (i) Draw the Free Body Diagram and determine the reactions. [8 marks] (ii) Determine the forces in all the members by using the method of joints and state whether they are tensile or compressive. [9 marks] 2 kN/m C A 4m D B www 5 kN/m 4m
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