Mechanics of Materials - Problems - Solution Manual Part 9

Tham khảo tài liệu 'mechanics of materials - problems - solution manual part 9', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | PROBLEM I w M 5. í 67 Determine a the distance a for which the maximum absolute value of the bending moment in the beam is as small as possible b the corresponding maximum normal stress due to bending. Hint Draw the bending-moment diagram and then equate the absolute values of the largest positive and negative bending moments obtained. a c vrtonneni cđ D SOLUTION o X M 0 - Rt a. lo lilio Xo lio e o Kc- a 2ỡ i - o Mc -H8OO 20 a S Md o Md 2o 12o - 4 cl-2o - o Mp Rc a-20 - 2400 Rca - 2o Rc - 2400 7200 - - 2400 X 4200 -CL 44000 4800 - 120 ô. 9800 - 5------- 120 0 199000 a ỉn. Mt - - 9800 o - Jh-in Mo 9800- - I M MCĨ wc r ress 5 - o o p l fcsỉ - PROBLEM 5. J6 Draw the shear and bending-moment diagrams for the beam and loading shown and determine the maximum absolute value a of the shear Ố of the bending moment. M iftLvO SOLUTION o - Ra I-6X3. 3O Ce n - o Ra 42 o Rc - . - o - 7S kM Sheets VA - 42 kN V - - 42 - - - kN - -54 13 2 -Ị it v c -k tì V 2 i kw. koecile poÍA t Ự - o Jr M - ớt - ArectS AitoD SVJv kV hn D C SVJ - Oế- -8 s4 --43_e w-m SVdtk - C - 8-C0 Mạ - o 1 o 2T4 Mc - - -r .2k Mb - o cAe-ks Maximum IVI 54 ku May x IM 25. 4 kN ho PROBLEM For the beam and loading shown determine a the maximum value of the bending moment Ố the maximum normal stress due to bending. n J D SĨO X SOLUTION - ĨĨ Mjj o - O - W 5 3 - o Ox Mc - o IO - Cl5 3 o f o 2 .7 s k. p stiecxr Vạ - o Vc- o - 2 3 - - 6 kips v ặ - - T l f. cti tips Vo- - I0X3Ì - k. ps v - 1 .7 9 bps Ă q - ow o 6Uk Loc de poM V o MS 3 e - e - -pfi lo-e s skect ữị i t ỔI vn A io c My c o s Svux ịỵ sỵH. T 33 34 E -ft T j Mx D ito B 5 vJx s - IS. 5 Mji - o Mc o - G - Me - G - kl p -W MÕ Zg4-4L3V - Me - 3. s 13. S - o Cthe kc n w ÌM I kip-ty - .