the beam supports a uniform dead load of 0.4k/ft, a live load of 1.5k/ft and a single live concentrated force of 8k. determine (a) the maximum positive moment at c and (b) the maximum positive vertical reaction at b. assume a is a roller and b is a pin.

Respuesta :

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

Learn more about positive moment and vertical reaction here:

https://brainly.com/question/15416318

#SPJ4