For the load group and influence line shown, P1 = 32 kips, P, = 32 kips, P3 = 8 kips, a = 14', and b = 14! The influence line is for V40- = shear just left of 40' Determine V40- in kips to two decimal places when the force P, is at 8! Use the correct sign. 15 20 P1 P3 10 30 1 - 1 b a

subj: civil engineering   A 50-mm diameter bar is used as a simply supported beam 3 m long. The flexural stress is limited to 50 MPa. If w = 36. •Find Fb(bottom) and Ft(top). (F = Mc/I) •Plot the flexural stress and draw a shear & moment diagram.

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For the load group and influence line shown, P₁ = 8 kips, P₂ = 32 kips, P3 = 32 kips, a = 14', and b = 18'. The influence line is for V40 = shear just left of 40'. Determine V40- in kips to two decimal places when the force P₁ is at O'. Use the correct sign. -1 16 0.5 15 20 30 1 P₁ P₂ a b P3

For the load group and influence line shown, P1= 32 kips, P2 = 32 kips, P3 = 8 kips, a = 14', and b = 14' The influence line is for V40- = shear just left of 40' Determine V40- in kips to two decimal places when the force P1 is at 16'. Use the correct sign. 16 15 20 P2 P3 30 - 1 1 a b