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Mechanics of Materials - Problems - Solution Manual Part 7

Tham khảo tài liệu 'mechanics of materials - problems - solution manual part 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 4.222 For the machine element and loading shown determine the stress at point A knowing that a h 0.9 in. Ố h 1.5 in. PROBLEM 4.222 SOLUTION t Cai h - O.Í r - 0. M. r2 .4 A - co.CfÌ h ớ.i R ft rk ồ in. z r 0 5 ỉ e - r - R - o. Oĩĩgct lr M - - Zoo Ji . i J yA - ft - rt - o. 37HỈÍ s. - - h _ r_. C-aooXo.y 1 A Aert r 0.rv Co ô75S xo.5 f e 3. Ổt5 í s f b h - . s r - 0. tỉMj ra zo tv. A 0.s rs - o. ỡ _ ồ - I. ỠS2OÍ ỈH. X0 Ạ xrt -g . F - rj - L2S ỉh. e - - R 0. IC778 M - - 2ôồ ft Ì . 6 Aev R - - Ổ.S 2.ỒZ v __ Zpo 0 5B3o x. 0 o 0. ÌC71 XỒ.S L-SMữ 9 urwo PROBLEM 4.C1 4.C1 T vo aluminum strips and a steel strip are to be bonded together to form a composite member of width b 60 mm and depth h 40 mm. The modulus of elasticity is 200 GPa for the steel and 75 GPa for the aluminum. Knowing that M 1500 N m write a computer program to calculate the maximum sưess in the aluminum and in the steel for values of a from 0 to 20 mm using 2-mm increments. Using appropriate smaller increments determine ứ the largest stress that can occur in the steel Ố the corresponding value of fl. SOLUTION Abg o 7Z MW CCỴy ỹL 7Ẻ t b 60 mm h 40 mm M 1500 N.m Moduli of elasticity steel 200 GPa Aluminum 75 GPa OUTPUT a I sigma sigma aluminum steel mm m 4 10 6 MPa MPa 0.000 0.8533 35.156 93.750 2.000 0.7088 42.325 101.580 4.000 0.5931 50.585 107.914 6.000 0.5029 59.650 111.347 8.000 0.4352 68.934 110.294 10.000 0.3867 77.586 103.448 12.000 0.3541 84.714 90.361 14.000 0.3344 89.713 71.770 16.000 0.3243 92.516 49.342 18.000 0.3205 93.594 24.958 20.000 0.3200 93.750 0.000 scan S2 s a a Find a1 for max Steel stress and the corresponding aluminum stress 6.600 0.4804 62.447 111.572083 6.610 0.4800 62.494 111.572159 6.620 0.4797 62.540 111.572113 Max Steel Stress 111.6 MPa occurs when a 6.61 mm Corresponding Aluminum stress - 62 5 MPa PROBLEM 4.C2 4.C2 A beam of the cross section shown made of a steel that is assumed to be elastoplastic with a yield strength Tỵ and a modulus of elasticity E is bent about the X axis