Answered: Draw the Shear and Moment Diagrams ラド…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

In order to determine the magnitude of the internal forces, a FBD must be cut.

It is difficult to determine where a cut should be made in order to reveal the Maximum Internal Forces, thus we have put the distance to the cut in terms of 'x', and plot the equation.

In my lecture we took a generic portion of a Beam and applied equilibrium and saw that Loading, Shear and Moment are related to each through differential equations. Change in Shear is the Area under the Loading diagram. Change in Moment is the Area under the Shear Diagram.

Using Graphic Integration draw the shear and moment diagrams for the given beams and loading.

Determine the reactions
Draw the Shear and Moment Diagrams
5ド |5に
W=3K/FT.
D
5'
201

Expert Solution

Finding reactions

for equilibrium sum of forces in y axis is equal to zero,

$R_{A} + R_{C} - 5 - 15 - 3 \times 20 = 0 R_{A} + R_{C} = 80 k$

For equilibrium, moment about any point will be zero,

then we will take moment about support at Point A,

$5 \times 5 + 15 \times 10 + 3 \times 20 \times (10 + \frac{20}{2}) - R_{C} \times 30 = 0 R_{C} = 45.84 k$

Substituting value of $R_{C}$ in the above equation we can calculate $R_{A}$ ,

$R_{A} + 45.83 = 80 R_{A} = 34.16 k$

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