Answered: Q2. Calculate the maximum bending…

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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.10.20P: .20 Determine the plastic moment Mpfor beam having the cross section shown in the figure ey=210 MPa.

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Concept explainers

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

Question

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.

Step 2

Balance the forces in the horizontal direction.

Balance the forces in the vertical direction.

Take the equilibrium moment about point C as 0.

Substitute the value of R_B in equation 1.

Step 3

Calculate the shear forces at all points of the beam.

Draw the shear force diagram.

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.

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