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Enter length A to B Enter the length between B and D Enter the length between D and C Enter Load w1 in kilo newton Enter the load w2 in kilo netwon
Out[44]: (^) 10.
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Out[52]: (^) -5.
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# STEP 1 To calculate free BMD
l1 = int(input("Enter length A to B ")) a = int(input("Enter the length between B and D ")) b = int(input("Enter the length between D and C ")) l2 = a + b w1 = int(input("Enter Load w1 in kilo newton ")) w2 = int(input(("Enter the load w2 in kilo netwon ")))
#### span 1
M_AB = w1 ***** l1 / 4 M_AB
### span 2
M_BC = w2 ***** a ***** b / l M_BC
# STEP 2 To calculate fixed
### span 1
M_FAB =- w1 ***** l1 / 8 M_FAB
M_FBA = w1 ***** l1 / 8 M_FBA
### span 2
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Out[54]: (^) -3.
Out[57]: 5.
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M_FBC =- w2 ***** a ***** b ***** b / (l2 ***** l2) M_FBC
M_FCB = w2 ***** a ***** a ***** b / (l2 ***** l2) M_FCB
# STEP 3 To calculate Distribution factor
# for Joint B members are BA and BC K_BA = 1 / l1 # coefficient of I K_BC = 1 / l2 # coefficient of I sum_of_k = K_BA + K_BC DF_BA = K_BA / sum_of_k DF_BC = K_BC / sum_of_k
DF_BA
DF_BC
# STEP 4 to calculate moment distribution
# for Joint A B C members are AB BA BA and BC DF_AB = 0 DF_CB = 0 balance =- (M_FBA + M_FBC) var_AB = balance ***** DF_AB var_BA = balance ***** DF_BA var_BC = balance ***** DF_BC var_CB = balance ***** DF_CB CARRY_OVER_AB = var_BA / 2 CARRY_OVER_BA = var_AB / 2 CARRY_OVER_BC = var_CB / 2 CARRY_OVER_CB = var_BC / 2 Final_moment_AB = M_FAB + var_AB + CARRY_OVER_AB Final_moment_BA = M_FBA + var_BA + CARRY_OVER_BA Final_moment_BC = M_FBC + var_BC + CARRY_OVER_BC Final_moment_CB = M_FCB + var_CB + CARRY_OVER_CB
CARRY_OVER_AB
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sum_of_moment_B = 0 RC = ( - Final_moment_BC + Final_moment_CB + w2 ***** a) / 5 RB2 = w2 - RC RB = RB1 + RB ans = RA + RB + RC
RB
RC
ans
