Q2. Calculate the maximum bending stress developed. Is it safely designed (Fb = 30 ksi? 4" 4' Beam cross section 12! ot 8"

Elements Of Electromagnetics
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Q2. Calculate the maximum bending stress developed. Is it safely designed (Fb =
30 ksi?
4"
W=1%PT.
Beam cross section
12!
41
Transcribed Image Text:Q2. Calculate the maximum bending stress developed. Is it safely designed (Fb = 30 ksi? 4" W=1%PT. Beam cross section 12! 41
Expert Solution
Step 1

The free body diagram of the beam is as follows.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

Balance the forces in the horizontal direction.

Mechanical Engineering homework question answer, step 2, image 1

Balance the forces in the vertical direction.

Mechanical Engineering homework question answer, step 2, image 2

Take the equilibrium moment about point C as 0.

Mechanical Engineering homework question answer, step 2, image 3

Substitute the value of RB in equation 1.

Mechanical Engineering homework question answer, step 2, image 4

Step 3

Calculate the shear forces at all points of the beam.

Mechanical Engineering homework question answer, step 3, image 1

Draw the shear force diagram.

Mechanical Engineering homework question answer, step 3, image 2

Step 4

From B to C, the sign of the force is changing. The point where it meets the axis is called the point of contraflexure. Since the shear force diagram is symmetric about the point of contraflexure, it will be located at half of the distance BC from point B.

Mechanical Engineering homework question answer, step 4, image 1

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