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Question:



Answer:


Step 1

The free body diagram of the section ADEB is,

Mechanical Engineering homework question answer, step 1, image 1

Here, is the effective loading due to the UDL. H and are the subscript for the horizontal and vertical reaction at A respectively.

Step 2

Calculate the value of effective loading due to the UDL, P,

Mechanical Engineering homework question answer, step 2, image 1

Consider the angle B as θ and apply the condition for the equilibrium of moment about support A.

Mechanical Engineering homework question answer, step 2, image 2

Step 3

Apply the condition for the equilibrium of forces along the vertical direction.

Mechanical Engineering homework question answer, step 3, image 1

Step 4

Similarly, apply the condition for the equilibrium of forces along the horizontal direction.

Mechanical Engineering homework question answer, step 4, image 1

Step 5

Consider the FBD of the section AD of the beam,

Mechanical Engineering homework question answer, step 5, image 1

Calculate the effective load due to UDL, PAD  acting on AD,

Mechanical Engineering homework question answer, step 5, image 2

Step 6

Apply the condition for the equilibrium of forces along the vertical direction for the section AD.

Mechanical Engineering homework question answer, step 6, image 1

This the vertical reaction at point D.

Step 7

Apply the condition for the equilibrium of forces along the horizontal direction for the section AD.

Mechanical Engineering homework question answer, step 7, image 1

This the horizontal reaction at point D.

Step 8

Now, apply the condition for the equilibrium of moment about point D.

Mechanical Engineering homework question answer, step 8, image 1

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