Draw the shear force and bending moment diagrams for the beam. Then answer the questions.7.7 kN/mВ595 mm595 mm The free-body diagram for the beam is shown. The distributed 7.7 kN/m loading has been replaced by the equivalent force R located a distance d from point A. Find the magnitude of the resultant force R and the magnitude of thedistance dRdВ,

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Asked Nov 15, 2019
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Draw the shear force and bending moment diagrams for the beam. Then answer the questions.
7.7 kN/m
В
595 mm
595 mm
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Draw the shear force and bending moment diagrams for the beam. Then answer the questions. 7.7 kN/m В 595 mm 595 mm

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The free-body diagram for the beam is shown. The distributed 7.7 kN/m loading has been replaced by the equivalent force R located a distance d from point A. Find the magnitude of the resultant force R and the magnitude of the
distance d
R
d
В,
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The free-body diagram for the beam is shown. The distributed 7.7 kN/m loading has been replaced by the equivalent force R located a distance d from point A. Find the magnitude of the resultant force R and the magnitude of the distance d R d В,

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Expert Answer

Step 1

Point A has hinge support and point B has roller support. So, point A has forces acting in the horizontal and vertical direction both whereas point B has only vertical force. Also, the distributed load is considered to act at a single point at the center of gravity. Thus, draw the free body diagram.

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RAX R6 $95 mm $95mm As distributed load acts at the center of gravity, so the distance d from point A is 595 mm d 2 -297.5 mm =0.2975 m

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Step 2

The distributed load acts at a distance of 595 mm or 0.595 m. Calculate the magnitude of the resultant force R.

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R 7.7 kNmx0.595 m =4.5815 kN = 4581.5 N

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Step 3

Take the moment about point A by considering clockwise moment ...

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ΣΜ-0 Rgx (0.595x2) m - Rxd = 0 Rx(0.595x2) m - 4581.5 Nx0.2975 m = 0 R, -1145.375 Ν

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