Question
You have two chimneys supported on a roof The roof system is in equilibrium! The goals are to (1) find the compression force in
You have two chimneys supported on a roof The roof system is in equilibrium! The goals are to (1) find the compression force in the 3 roof members (2) find the horizontal and vertical reaction H and V (3) find the dimension of the arch (assuming the arch is square) For the calculation, consider only the chimney weights and not the arch self weight step (a) label the regions of the form diagram step (b) label the forces in the struts between the regions step (c) define a force scale (i.e. 1" = 2kips) step (d) draw the load lines for the two chimneys step (e) draw the force direction lines for the two angled parts of the roof, and for the horizontal section step (f) measure the length of the force vectors for the three roof struts step (g) convert their length into forces using your force scale step (i) define the reactions at the base of the roof in (1) the horizontal reaction (H) H V 10 10 kips kips step (j) for a square section with elastic compressive stress limit of 5ksi, what is the largest dimension needed? V H
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