Question P5.13 to P5.15. Given the moment diagram for each beam, (a) sketch the deflected shape and qualitatively determine (b) the shear diagram and the applied loading. A B С B moment A С P5.13 A B C A B С moment A C B P5.14 A B C E D С moment A D E B P5.15

Question 1 20 pts Which statement is correct? A) Reasons for non-completion for weekly tasks should be identified on the long-term/master planning session. B) The horizontal axis in a Line of Balance can depict apartments or floors for a building project. C) If 60% of a task is completed, the "YES" column can be checked for this task on the weekly plan. D) The removal of constrains is monitored on the look-head plan planning, E) The line of balance is mainly used for short term planning. OE D Ос o B ОА Next

Question 4.2 (20 marks; 10 marks each) (a) Let F = [e->, e-Y, е-22], C: r = [2t, t2, t), calculate the integral ScF(r) · dr based on (x, y, z) starting from (0, 0, 0) to (4, 4, 2). (b) Let F = [x²y, -y3], C: r= [t, t"], (i) calculate these integrals ScF(r) · dr based on (x, y) from (0, 0) to (1, 1) in terms of n; (ii) work out the values of the above line integrals by setting n = 1, 2 and + (iii) based on result from (ii), state whether this line integral shows path independence property or not. ("yes" or "no")

A 2-wire d.c. distributor AB 500 metres long is fed from point A and is loaded as under :Distance from feeding point A (in metres) 100 300 400 500Load (amperes) 20 40 40 50If the specific resistance of copper is 1·7 × 10−8 Ωm, what must be the cross-section of each wire in orderthat the voltage drop in the distributor shall not exceed 10 volts ?

Question 4.2 (20 marks; 10 marks each) (a) Let F = [e-*, e-V, e-22], C: r = [2t, t2, t), calculate the integral SF(r). dr based on (x, y, z) starting from (0, 0, 0) to (4,4,2). (b) Let F = [xạy, -y3], C: r= [t,t"], (i) calculate these integrals ScF(r)·dr based on (x, y) from (0, 0) to (1, 1) in terms of n; (ii) work out the values of the above line integrals by setting n = 1,2 and +00 (iii) based on result from (ii), state whether this line integral shows path independence property or not. ("yes" or "no")

Question 4.2 (20 marks; 10 marks each) (a) Let F = [e-*, e-9, e-22], C: r= [2t,t,t], calculate the integral ScF(r). dr based on (x, y, z) starting from (0, 0, 0) to (4, 4, 2). (b) Let F= [xạy, -y3], C: r= [t, tr], (i) calculate these integrals ScF(r). dr based on (x, y) from (0, 0) to (1, 1) in terms of n; (ii) work out the values of the above line integrals by setting n = 1,2 and + 0 (iii) based on result from (ii), state whether this line integral shows path independence property or not. (“yes” or “no”)

Question 4.2 (20 marks; 10 marks each) (a) Let F = [e-X, e-Y,e-22), C: r = [2t, t2, t), calculate the integral ScF(r) • dr based on (x, y, z) starting from (0, 0, 0) to (4, 4, 2). (b) Let F = [xạy, -y3], C: r = [t, t"], (i) calculate these integrals SF(r). dr based on (x, y) from (0, 0) to (1, 1) in terms of n; (ii) work out the values of the above line integrals by setting n = 1, 2 and + (iii) based on result from (ii), state whether this line integral shows path independence property or not. ("yes" or "no")