e preious 2 of 3 The truck and trailer exerts the wheel reactions shown in (Egur

Question

e preious 2 of 3 The truck and trailer exerts the wheel reactions shown in (Egure 1) on the deck of the girder bridge. Assume the truck travels in either direction along the center of the deck, and therefore transfers half of the loacd shown to each of the two side girders. The truck that travels to the left exerts the loads shown in (Eigure 2) Assume the splice is a fixed connection and like the Part A Determine the largest bending moment exerted in the splice at C. Follow the sign convention Express your answer to three significant figures and include the appropriate units. Figure 1-1of2 Mc)maxValue kN m Submit My Answers Give Up Continue 5m 2m 10 m 5 m

Explanation / Answer

Case 1:When the truck is moving from right to left

The moment at C will be maximum when F3 is placed at C

Let vertical reaction at B be Rb

Considering moment equilibrium at support A, we get

15Rb -(5.4*12)-(8.1*10)-(2.7*9)-(1.35*7.5)=0

Rb=12 kN

Moment at C=(12*5)-(5.4*2)=49.2 kNm

Case 2 : when the truck is moving from left to right

The moment at C will be maximum when F3 is placed at C

Let vertical reaction at B be Rb

Considering moment equilibrium at support A, we get

15Rb -(5.4*8)-(8.1*10)-(2.7*11)-(1.35*12.5)=0

Rb=11.385 kN

Moment at C=(11.385*5)-(2.7*1)-(1.35*2.5)=50.85kNm

Therefore, out of the two cases the moment that governs is 50.85 kNm

Answer is 50.85 kNm

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