Question

***please be as accurate as possible this is extra credit because we did bad on test***

What is the maximum positive strain for the following beam to the nearest 1 με? L1 (1) (2) h b1 b2 P = 70 k L1 = 10 ft b1 = 1 in b2 = 3 in h = 12 E1 = 16,000 ksi E2 = 29,000 ksi

Answer 1

ANSWER :
.P. 0 (front view of beam shows] finch kr 2 inch. 1 > erptical point is, the point right next to the fixed location of beam. P FBD of beam: RA EMA=0 L=10 ft MA - PXL, = 0 = 10x12 MA = Px 2,= 70 x 1000 X 120 4 = 120 inches MA = 8400 (k pounds. inch) » Maximum tensile stress at tis. MAh 2 I

I for beam.is. I 12 ist b63. to bitb) X u X 1 2 3 = 576 inch 12 I= 576 inch 4. MAXH 8400 x1000X 12 TA= 2x I 2x 576 100800000 1152 87.500 ksi TA = 87.500ksi strapn in red dotted-material (past of beam. OA ERI 87.500 16000 5.4 6895x 10 -3 inch Preb. ER=54687.5 5468.75 ER = 5469 (microns el

strain in blue dotted material part of beam. GB TA EB 87.500 ksi 29000 ksi 3017.240 l (microns). So, maximum possible stiam P5. E R = 5469 & Microns) u