Question

The compressed-air tank has an inner radius r and uniform wall thickness t. The gage pressure inside the tank is p and the centric axial load F is applied at the end cap. Use p = 1366 kPa, F = 14 kN, t= 12 mm and r = 192 mm. u x ІН F Matlab Mathematica Python R p = 1366; % kPa F = 14; % KN t = 12; % mm r = 192; % mm sigmay = 161; % MPa copy this text Obtain the state of plane stress at point H in the x - y coordinate system: number (rtol=0.01, atol=10-05) MPa ? Oy = number (rtol=0.01, atol=14-05) MPa Taxy number (rtol=0.01, atol=14-05) MPa ? Determine the principal stresses 01 and 0, at point H: 0 = number (rtol=0.01, atol=1e-05) MPa 02 number (rtol=0.01, atol=1e-05) MPa Determine the principal plane defined by the rotation 1: 0,1 = number (rtol=0.01, atol=1e-05) Determine the factor of safety against yielding of the material at point H on the basis of the Von- Mises criterion. The material has yielding stress ay = 161 MPa. FS = number (rtol=0.01, atol=1e-05) ?

Answer 1

given datas P = 1366 kpa 1366 x103 N/m 2 148103 N F = 14 KN t = 12mm 0.012 m 7 - 92 mm 0.192 m. ox= + pa at A A = 21st T 82 Tx0.192 92?) A = 0:1158 m2 13664103 (0.192.42) poporos3 (0458 ox 1366 x 103 x 0.192 + 14x10 3 (0.1158) (2 OSD 0012 x 11.049 Mpa g pr t 1366x103 X0.192 0.012

g: 21.856 Mpa Tay o Mpa 11.049 Mpa b 11 og 11 21.856 Mpa poinciple planco e copi Opi 1 tan 2 Tay Oxoay Copi la tanto ogoy copi Factor of Safety Fg - ? (based on Von mises) 2 FS : G12+03 -0,62 1612 (11.049)?#@1.8 56 56 )?- (11.049x27.856 FS = 72.35