A beam with a T-section is supported and loaded as shown in the figure. The cross-section has width b = 21/2 in, height h = 3 in., and thickness t = 3/8 in.

(a) Determine the maximum tensile and compressive stresses in the beam.

(b) If the allowable stresses in tension and compression are 18 ksi and 12 ksi, respectively, what is the required depth h of the beam? Assume that thickness t remains at 3/8 in. and that flange width b = 2.5 in.

(c) Find the new values of loads P and q so that the allowable tension (18 ksi) and compression (12 ksi) stresses are reached simultaneously for the beam. Use the beam cross-section in part (a) (see figure) and assume that L1, L2, and L₃ are unchanged.

Transcribed Image Text:

L₁=3 ft L P = 750 lb -L₂ = 8 ft q=110 lb/ft +13 -L3= 5 ft- = t = -in. 3 100 in. h'= 3 in. 2 in.