# 10kN 5kN/m 1m 2m 2m

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Draw shear force and bending moment diagrams for the given simply supported beam.

Expert Solution

Step 1

Draw a free body diagram converting the UDL into a point load

As UDL is given 5kn and it is acting on the 2m length

Therefore, load will be 5 x 2 = 10 kN acting on center of 1m from point B.

Step 2

Take moments @A, we know the condition

Anticlockwise moment = clockwise moments

We know moment = force x perpendicular distance

R_{B }x 5 = (10 x 1) + (10 x 4)

R_{B }x 5 = 50

R_{B = }50/5= 10 kN.

Summation of upward force = summation of downward force

R_{A }+ R_{B }= 10+10

R_{A} + 10 = 20

R_{A }= 20 – 10

R_{A }= 10 kN

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