che294f03hmwrk10soln - CHE/MAE 294 F03 Homework 10 Solution...

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CHE/MAE 294 F03 Homework 10 Solution 30.Oct.03 > restart: Problem 1 Formulation Use the Hook's law expression > Fstr := proc(bond,strain) kfb[bond]*lob[bond]*strain end proc: Givens Tabulate the bond force constants (N/m) and bond lengths (m) (from CRC handbook). More than one value is given for the C-C bond (one for C2 and one for C2H6). > kfb := table([(SiSi) = 2.15*100, (CCs1) = 12.16*100, (CCs2) = 4.5*100, (CCd) = 8.43*100, (NaNa) = 0.17*100, (SiO) = 9.24*100]): > Ao := 1E-10: > lob := table([(SiSi) = 2.24*Ao, (CCs1) = 1.5*Ao, (CCs2) = 1.5*Ao, (CCd) = 1.3*Ao, (NaNa) = 3.08*Ao, (SiO) =1.51*Ao]): Solution Determine the bond force constants Table 10.1.1 Forces required to stretch a bond by 1% of its initial length. Bond 0100 kfb Bond lob Bond () F nN SiSi .4816 10 -9 .481 CCs1 .1824 10 -8 1.824 CCs2 .6750 10 -9 .675 CCd .1095 10 -8 1.095 NaNa .5236 10 -10 .052 SiO .1395 10 -8 1.395 The results show, the Na-Na bond is the most flexible bond. The stiffest bonds are the covalent C-C, C=C, or Si-O bonds.
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Problem 2 The solution to this is through geometry. The applied force F resolves to a normal force S along the bond axis. This is given as S = F/cos( θ ) The bond of initial length r stretches by an amount dr. The Hook's law formulation for this is
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che294f03hmwrk10soln - CHE/MAE 294 F03 Homework 10 Solution...

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