Answer Happy

For center-cracked plates in tension, as in Fig. 8.12(a), accurate values of Ffrom numerical results are given in the Tada (2000) handbook, as listed in Table P8.6 below (a) Calculate the values of Fusing the expression from Fig. 8.12(a) that is recommended for any a. Enter your answers for the following values of a using 5 significant figures: .0.3 0.5 0.7 0.1 and 0.9 tan What is the accuracy of the result for a = 0.9 with respect to the numerical values? (Enter the absolute value of the accuracy in percentage and rounded to the next whole number. DO NOT INCLUDE UNITS!) (b,c) Two approximations for F that are sometimes employed for center-cracked plates are πα F=/sec 2 (Equation 1) (Equation 2) where the arguments of the trigonometric functions are in radians. Calculate the values of F with 5 significant figures using Equation 1 for a = 0.1 .0.3 0.5 0.7 and 0.9 What is the accuracy of the result for a = 0.9 with respect to the numerical values? (Enter the absolute value of the accuracy in percentage and rounded to the next whole number. DO NOT INCLUDE UNITS!) Repeat your calculations using Equation 2 for the same values of a (use 5 significant figures): 0.1 0.3 0.5 07 and 0.9 Calculate the absolute values of accuracy, in percentage and rounded to the next whole number, for a = 0.3 and 0.9 (DO NOT INCLUDE UNITS!) .0.5 Table P8.6 ama/ 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 09 F = F(a) 1.000 1.006 1.025 1.058 1.109 1.187 1.303 1488 1816 2578