CIVE 310 – AUB – Package 3
November 30, 2020 2022-04-30 13:22CIVE 310 – AUB – Package 3
CIVE 310 – AUB – Package 3
In section 9, we study the effect of combined loadings and moments applied to cross sections. There is no new concept here, just an application of all what we learned in sections 5, 6 and 7. We will take real life examples of cross sections subjected to a combination of shear force, normal force, and bending moments. A step by step procedure on how to solve problems regarding combined loadings is provided.
In section 10, we discuss stress transformations that result from rotating an infinitesimal element with an initial state of stress. We will learn that normal stresses and shear stresses vary upon rotation. As a result, maximum normal stresses occur on a plane different from maximum-in-plane shear stresses. This explains the phenomenon of cracking and how it occurs. You will be able to apply the concepts of this chapter to predict the direction of cracking of a structure subjected to combined loadings, given that you have all the sufficient information.
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Section 9: Combined Loadings
In this section, you learn how to calculate normal shear stresses of sections subjected to a combination of shear forces, normal forces, bending moments, and torsion.
- Lesson 1: Combined Loadings – Part 1
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Lesson 2: Combined Loadings – Part 2
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Lesson 3: Combined Loadings – Part 3
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Lesson 4: Combined Loadings – Part 4
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Problem 1: Combined Loadings
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Problem 1: Continued
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Problem 2: Combined Loadings
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Problem 3: Combined Loadings
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Problem 3: Continued
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Problem 4: Combined Loadings
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Quiz 1 – Combined Loadings
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Quiz 1 – solutions
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Section 10: Stress Transformation
In this section we discuss stress transformations, principal stresses and planes, in-plane maximum shear stresses and planes, and Mohr's circle
- Lesson 1: Introduction to Stress Transformations
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Lesson 2: Introduction to Equations Method
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Lesson 3: Equations Method
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Lesson 4: Principal Stresses and Principal Planes
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Problem 1: Principal Stresses and Principal Planes
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Lesson 5: Maximum In Plane Shear Stresses
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Problem 2: Maximum In Plane Shear Stresses
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Lesson 6: Introduction to Mohr’s Circle
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Lesson 7: Mohr’s Circle for Principal Stresses and Principal Planes
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Lesson 8: Mohr’s Circle for Maximum in-plane Shear Stresses
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Lesson 9: Mohr’s Circle for Rotating an Element with Angle Theta
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Problem 3: Mohr’s Circle with Combined Loadings
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Quiz: Stress Transformation
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Quiz Solutions
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Rabih El Hage
Feedback on Mechanics of Materials
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Feedback on Mechanics of Materials
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