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Principal planes 20p = tan- 2Txy x-y Principal stresses 2 [(ox-oy) + Txy Oxtoy 01 = + 2 2 ox+oy 02 = 2 2

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Principal planes 20p = tan- 2Txy x-y Principal stresses 2 [(ox-oy) + Txy Oxtoy 01 = + 2 2 ox+oy 02 = 2 2 2 + Ty Normal strains = 1 - (; +k) Ei Centre of mass R+m3+... = m1+m2+m3+... Formula Sheet Question 3 A cantilever beam AB is fixed to a wall and is subjected to concentrated and distributed forces as shown in figure B3. a) Draw the free-body diagram of the problem. marks] [5 b) Calculate the shear force V and plot the shear force diagram across the beam. [10 marks] c) Calculate and plot the bending moment M across the beam. marks] 4 kN/m 3 kN B A 2 m 1 m 1 m 2 kN Figure B3. [10

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