Apole is subjected to two loads, pi and p2 so that the bending moment at the bottom of the pole is p1 m, 30p-20p here, pi is normal random variable with mean 50kn and standard deviation 5 kn; p2 is another normal random variable with mean 20 kn and standard deviation 3 kn. (a) determine the mean and standard deviation of the bending moment at the bottom of the pole; (b) if the moment-resisting capacity at the bottom of the pole is mr, a normal random variable with 0m mean 1750 kn-m and standard deviation of 150 kn-m, what is the probability p2 30m that the pole will fail under the loads pi and p2? what is the associated reliability index?

Determine the time of the day and month of the year at which the peak sensible cooling load occurs for a top floor, north-eastern corner room of an office building in durban for the following conditions: floor area: 8 x 8 x 3 m east and north walls: 115 mm face brick (outside), 20 mm air space, 115 mm ordinary brick (inside) with 15 mm plaster roof construction: suspended plasterboard ceiling, 450 mm air space, 150 mm concrete, 75mm screed, waterproofing no heat transfer across other surfaces window area 3x 1,5 m high in north wall only. ordinary glass with venetian blinds. lights and occupants : from 07: 00 to 18: 00 average light density: 25 w/m2 number of occupants : 5 seated, light office work room temperature 24°c