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Mechanics of Materials - Problems - Solution Manual Part 6

Tham khảo tài liệu 'mechanics of materials - problems - solution manual part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Iu n PROBLEM 4.139 z A 10.0 in2 Zz - 273 in4 4.138 A short length of a rolled-steel column supports a rigid plate on which two loads p and Q are applied as shown. The strains at two points A and B on the center lines of the outer faces of the flanges have been measured and found to be À - 400 X IO 6 in. in. e -300 X IO 6 in. in. Knowing that E 29 X 1 o6 psi determine the magnitude of each load. 4.139 Solve Prob. 4.138 assuming that the measured strains are -350 X lOr6 ỉn. in. efl -50 X 10 6 in. in. SOLUTION Stress S ứưỉ A 3 -ìo.is io3 f . ơ6 - E - 29w IO l -5ũ 0 6 I.Uốx C fi C-e A Vri c b p Q E e J t VI Coưp le ỔP - ó Q c - s I _ . Mg _ _ p 0 . GP GQ fc A 0 0 173 - ổ.ỒCrtM p - o.w Gt S - - E. _ He . F Q _ 6 A X 10. o 73 -1.45x10 - -0. 07 p Ớ.00789Q sX 01 AHtfl Cĩ 1 s i p - -Ì.2 x o .ZI Q. - MS. 8 IO3 A 48.8 k. 3 Cl PROBLEM 4.140 4.140 An eccentric axial force p is applied as shown to a steel bar of 25 X 90-nun cross section. The strains at A and B have been measured and found to be eA 350 p eB -70 p Knowing that E 200 GPa determine a the distance d b the magnitude of the force p. SOLUTION V - 15 H S 30 - 30 b - G O.OHS A bU SffX to -- Z.2ữíÕi w I -feUVi xs cio 3 l-SltK IO M n I.SI325 x o_ v y - io- 45 - IS O.OlS r J yB 15- S - -O.OSOm Stresses -Fram A K ae u B 5X - Ee - CaooxiO yssoxio 4 - 70x o Pa S jT E Sg Soo X 0 X-70 x o c - 14 x o4. Pa. 6 A h r t M 3 e T _ _ 2 a - y o. OHS 6 lv Yft an J N m ACyiSTg-ygS Z.ZS X O-3 --- N . . 1 . I . .I. X lo3 M À M Pữt A e - r ồ-OSô - 30 IL - 7Y.S PROBLEM 4 141 140 A cc ntric id forcc p is applied as shown to a steel bar of 25 X 90-mm 1 cross section. The strains at A and B have been measured and found to be a 350 n g -70 p 25 mm-K Knowing that E 200 GPa determine u the distance ư 5 the magnitude of the force kL p JmH __ 4.141 Solve Prob. 4.140 assuming that the measured strains are í 42 . I WF A SOLUTION 90 nunBỀ -.j aSa8Mak Hem _ Vi IS 4S 3o 9Ỡ b 25 M vt c. - jt h - ys 1 1 Ơ. OHS m IS mm A bb - 5 22Sx o 2.25x õ I .