Strength of Materials Exam with Solution | ENGR 2530, Exams of Engineering

Download Strength of Materials Exam with Solution | ENGR 2530 and more Exams Engineering in PDF only on Docsity! ENGR-2530 Strength of Materials Exam 2 RIN:------------ Section:------- Problem 1 (10 pts) Problem 2 (10 pts) Problem 3 (20 pts) Problem 4 (20 pts) Problem 5 (20 pts) Problem 6 (20 pts) Total Spring 2014 ENGR-2530 Strength of Materials Spring 2014 1- A cantilever beam is subjected to a point load P in the way shown in the figure below. Assuming that the length of AB is half of AC, considering the section of the beam at the support, determine the angle a that would create zero stresses at point A and Grsinretenesualy. Pp A B / YP aA Cc D (ope gigas Ty = te (culo? ha Te ty Sy 2 Ip 4 laa) 708 Mz on fZ Sin & M, = PA Cosa tL Sint) , PL Cos (%) _ Oo. = Te a¥ Tat i. Sinale) .. PL Cosl®) ras ATG ¥, ot nN ENGR-2530 Strength of Materials Confiauracs on Ais epreHaL } eel per each Q the. tuoe Neils < 10> b Spring 2014 Feacwo) = ¥> 2D 200 = 134.35 Ss => Se 1.44in ENGR-2530 Strength of Materials Spring 2014 4- An axial load P of magnitude 30kN is applied as shown, to a short section of a steel channel. Determine the largest distance a for which the maximum compressive stress is 60 MPa, (The load can only move on the dashed line, shown in the figure on the right) P= 30kN 150 mm} n ? X > 0x5 PERAXUSXSKATS 2 1.975 mm 1BO x54 2ZxXUGKS Mf = NTS HE cianot> AEF 25 Am My = — (30x00 (9.375 x10°%) = 297. 4 = My a p ; 4a. =-7Smm 7 Xn = X= .¢7S &, ae y, x5 x Ob 2x Ve AGS XSF LXUSH SA F2.9 a Fle ; : P 2 = 344x107 mm : Bs es t y x50 x5 +2X U2 <5 XYUS?-p 1SO = HL. 2 s : $Rxysxs x AIS- W.g7s ) = 0.955% 10% mnt My Ia _F _ Mg 1A pie Om * A ee. 44 a ENGR-2530 Strength of Materials 7 My etx a —O, a) 3 3 My. . BFF x10 ° /-A8)-RSXN-RTS AD” so sia) -F5 x 0°? 0.253 x10-© 1200.Xi0 Spring 2014 ~ & 5 2 B44 A10* (13 02-25 +66)x10 =f. 09S X10-mm =45 «197° Gu es - (-1.095 x10) | 0: 0365 =3b.5mm = 30x jo”