Question

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3 a) Dengan dbantu lakaran-lakaran yang sesual, takrifican bentuk umum Hukum Hooke. Terangkan bagaimana hubungan tegasan dan terilkan di satu titilk dalam tiga dimensi boleh didapati, menggunakan Hukum Hooke dan prinsip tindihan. Wth the help of neat skotches, define the general form of Hooke's Law. Explain how the relationship of stress and strain at a point in three-dimension can be abtainod, using Hooke's Law and the principle of super-position (8 markah/marks) b) Jika tegasan-tegasan untuk satu titik bagi satu masalah terikan satah diber sebagai, If the stresses at a point in a plane strain problem are given as, r140 N/mm, a,- 60 Nmm, Ty 140 N/mm Dapatkan tensor terikan bagi titik tersebut menggunakan hubungan tegasan- terikan yang ditakrifkan oleh Hukum Hooke. Kirakan nilai dan arah bagi terikan prinsipal dititik tersebut Obfain the strain tensor for this point using the stress strain relation as defined by the Hooke's Law. Hence, obtain the magnitude and direction of the principal strain Ambil nilai nisbah Poisson's v 0.3 and modulus Young E = 210 N/mm2 Take the value of Poisson's ratio v 0.3 and Young's modulus E 210 N/mm (12 markah/marks) 3 a) Dengan dibantu lakaran-lakaran yang sesuai, takrifkan bentuk umum Hukum Hooke. Terangkan bagaimana hubungan tegasan dan terikan di satu titik dalam tiga dimensi boleh didapati, menggunakan Hukum Hooke dan prinsip tindihan. With the help of neat sketches, define the general form of Hooke's Law. Explain how the relationship of stress and strain at a point in three-dimension can be obtained, using Hooke's Law and the principle of super-position (8 markah/marks) b) Jika tegasan-tegasan untuk satu titik bagi satu masalah terikan satah diberi 3 a) Dengan dibantu lakaran-lakaran yang sesuai, takrifkan bentuk umum Hukum Hooke. Terangkan bagaimana hubungan tegasan dan terikan di satu titik dalam tiga dimensi boleh didapati, menggunakan Hukum Hooke dan prinsip tindihan. With the help of neat sketches, define the general form of Hooke's Law. Explain the relationship of stress and strain at a point in three-dimension can be obtained, using Hooke's Law and the principle of super-position how (8 markah/marks) (8 markah/marks) b) Jika tegasan-tegasan untuk satu titik bagi satu masalah terikan satah diberi sebagai, If the stresses at a point in a plane strain problem are given as, ox 140 N/mm2, oy = -60 N/mm2, Txy 140 N/mm2 Dapatkan tensor terikan bagi titik tersebut menggunakan hubungan tegasan- terikan yang ditakrifkan oleh Hukum Hooke. Kirakan nilai dan arah bagi terikan prinsipal dititik tersebut. Obtain the strain tensor for this point using the stress strain relation as defined by the Hooke's Law. Hence, obtain the magnitude and direction of the principal strain Ambil nilai nisbah Poisson's v = 0.3 and modulus Young E = 210 N/mm Take the value of Poisson's ratio v= 0.3 and Young's modulus E 210 N/mm

Answer 1

Stress A Slauin d E As per huks aar SizcbsStruin Stress = Ex Strun E: madulun of eohrity near latin for stass- Stauh cty

J18 A D F F G 2 140 N/mm 2 -60 N/mm^2 a y 4 140 tau xy 5 6 poisson ratio 0.3 7 210 N/mm 2 E G 80.76923 8 Y xy 10 & X 0.752381 1.733333 11 E y 0.48571 Y yz 12 0.11429 0 13 14 0 15 16 strain tensor -0.75238 0.866667 17 0.866667 0.485714 18 0-0.11429 19 0 20 21 22 principal strain 2.263433 23 max 24 25 principal strain -1.99677 26 min 27 X