Question

Problem 3. Assume that the house is 9 feet tall, has pipe size of 20 in. and post height is 40 ft. See the chart below for the cross-sectional properties of your pipe. Assume a wind pressure of 30 psf. a. Calculate the force/foot of pipe by multiplying the wind pressure by the diameter of the pipe. The uniform load is 1200 on the pipe in lb/ft. b. Calculate the resultant force caused by the wind on the house. Treat is as a point load (P) at the top of the pipe where P=(wind pressure)(House Diameter)(9') c. Calculate the area moment of inertia of the pipe. I-t/64(do4 - d) d. Calculate reactions and draw the shear and moment diagrams due to the loads from parts a and b. e. Calculate the maximum bending stress in the pipe. f. Calculate the maximum shear stress in the pipe. Tmax=V/(trot)=2V/A g. Determine the maximum displacement of the top of the pipe due to the wind loads. h. If the maximum shear and bending stresses are 30 and 50 ksi, respectively, does the pipe break? i. Does the resident get motion sickness of the house sways with a gusting wind?

Answer 1

from the given table bor 20 inch pipe Prso pesuties au Dextestral 20 incu Dintonal 18- incn Load on pipe 1200 tt selt ot ot Ripe 123 h/ft taofnol Pressure 80 PSt .09 fora dw to oPnd Aipe 30 x dia On Pest 50ot ob Aife 30x 20 inc 20 30 50 pound/foot b) Resuttant bouse is fora On due to 9 feit bour diamere 9.(9fet height bhouse) bausr Resu ttant 30x fora On 202,5 b Ape is Ineorta ot th ot Area moment C) T Cd d; (20% 18 ) 110894 frcht