8. Bending Stresses in Composite Beams
Bending stresses in composite beams play a crucial role in the performance and reliability of modern structures. As a fusion of two or more distinct materials with varying mechanical properties, composite beams offer significant advantages in terms of strength, stiffness, and weight reduction.
Example 1 |
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In Figure 30, two wooden planks \(y_1=x_2= 150 mm \times x_1=x_2=60 mm\) each are connected to form a \(T\) section of a beam. If a moment of \(6.4 kN-m\) is applied around the horizontal neutral axis, inducing tension below the neutral axis, find the bending stresses at both the extreme fibres of the cross-section. (i) Find the moment of inertia for the section. |
Figure 30. Unsymmetrical section.
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Solution:
Figure 31. Unsymmetrical section.
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Example 2 |
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Figure 32 shows a rolled steel beam of an unsymmetrical I-section. If the maximum bending stress in the beam section is not to exceed \(45 MPa\), find the moment, which the beam can resist. \(x_1=y_2= 250 \mathrm{~mm}, x_2= 150 \mathrm{~mm}, y_1=y_3=60 \mathrm{~mm}\) (i) Find the moment of inertia for the section. |
Figure 32. Unsymmetrical section.
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Solution:
Figure 33. Unsymmetrical section.
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Comments (7)
Ae we doing chapters 6, 7, 8 & 9?
No. That's for Solid II.
Kindly confirm for us the formula for volumetric strain
Hello, are the notes here all we will have for SSM2 or is there a possibility for addition?
Solid Mechanics II starts from chapter 6.
Could you confirm if in example 1 the shear force diagram is correct since from my shear force calculations the forces are positive meaning the diagram ought to be upwards
Yes, in example 1, the shear force diagram is correct. There are two point loads acting downwards, which tend to shear the bar in the negative direction.