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author | prashantsinalkar | 2018-02-03 11:01:52 +0530 |
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committer | prashantsinalkar | 2018-02-03 11:01:52 +0530 |
commit | 7bc77cb1ed33745c720952c92b3b2747c5cbf2df (patch) | |
tree | 449d555969bfd7befe906877abab098c6e63a0e8 /3864/CH2/EX2.21 | |
parent | d1e070fe2d77c8e7f6ba4b0c57b1b42e26349059 (diff) | |
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Diffstat (limited to '3864/CH2/EX2.21')
-rw-r--r-- | 3864/CH2/EX2.21/Ex2_21.sce | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/3864/CH2/EX2.21/Ex2_21.sce b/3864/CH2/EX2.21/Ex2_21.sce new file mode 100644 index 000000000..678fe0d54 --- /dev/null +++ b/3864/CH2/EX2.21/Ex2_21.sce @@ -0,0 +1,52 @@ +clear +// +// + +//Initilization of Variables + +P=20*10**3 //N //Load +d=6 //mm //diameter of wire +E=2*10**5 //N/mm**2 +L_BO=4000 //mm //Length of BO + +//Calculations + +//Let theta be the angle between OA and OB and also between OC and OB +theta=30 + +//Let P_OA,P_OB,P_OC be the Forces introduced in wires OA,OB,OC respectively +//Due to symmetry P_OA=P_OC (same angles) + +//Sum of all Vertical Forces=0 +//P_OA*cos(theta)+P_OB+P_OC*cos(theta)=P + +//After further simplifyinf we get +//2*P_OA*cos(theta)+P_OB=20 ...............(1) + +//Let oo1 be the extension of BO +//oo1=L_A1o1*(cos(theta))**-1 + +//From relation we get +//P_OB*L_BO=P_OA*L_AO*(cos(theta))**-1 + +//But L_AO=L_BO*(cos(theta))**-1 + +//After substituting value of L_AO in above equation we get +//P_OB=0.75*P_OA .......................(2) + +//substituting in Equation 1 we get +//2*P_OA*cos(theta)+0.75*P_OA=20 + +P_OA=20*(2*cos(theta*%pi*180**-1)+0.75)**-1 + +P_OB=0.75*P_OA + +A=%pi*4**-1*d**2 + +//Vertical displacement of Load +dell_l_BO=P_OB*10**3*L_BO*(A*E)**-1 + +//Result +printf("\n Forces in each wire is:P_OA %0.2f KN",P_OA) +printf("\n :P_OB %0.2f KN",P_OB) +printf("\n Vertical displacement of Loadis %0.2f mm",dell_l_BO) |