The maximum positive moment at c is 135k/ft
the maximum positive vertical reaction at b is 27k
Part a
Maximum positive moment at c
For maximum positive moment at C and as per Muller's principle, ILD influence line will be on moment at с, this is calculated using the equation below:
Maximum positive moment at c = [tex](\frac{1}{2} *20*5*(0.4+0.5) )+(5*8)[/tex]
= 135k.ft
Part b
Maximum positive vertical reaction at b
To find this using Muller's principle, we keep dead load throughout the span and consequently keep point load at B
Maximum positive vertical reaction at b = [tex](\frac{1}{2} *20*1*(0.4+1.5))+(1*8)[/tex]
= 27k
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