L30_ combined loading-fall 10

L30_ combined loading-fall 10 - EAS 209-Fall 2010...

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EAS 209-Fall 2010 Instructors: Christine Human 11/1/2010 1 Lecture 30-Combined Loading Lecture 30 Combined Loading To date we have calculated the stresses due to: LOAD STRESS EQUATION CH FIGURE Centric axial load Normal A P x 1,2 Torque Shear J T xy 3 Bending Normal I My x 4 Transverse Load Shear It VQ xy 5,6 Internal Pressure Normal t pr 2 1 2 7 Many structures are subjected to a combination of loads. We can determine the state of stress at a point by finding the stresses due to each load, then apply the principle of superposition to obtain the total stresses. Today’s Homework: M V EAS 209-Fall 2010 Instructors: Christine Human 11/1/2010 2 Lecture 30-Combined Loading We will examine a slender structural member subjected to arbitrary loadings and find the maximum stresses at points H and K. The general approach is to pass a section through points of interest and determine the force- couple system at the centroid of section required to maintain equilibrium. In 3-D, system of internal forces consist of three force components and three couple vectors. Which forces cause normal stresses? Which cause shearing stresses?
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EAS 209-Fall 2010 Instructors: Christine Human 11/1/2010 3 Lecture 30-Combined Loading Superposition We can first separate the forces between those that produce normal stresses and those that produce shearing stresses. Axial force and in-
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L30_ combined loading-fall 10 - EAS 209-Fall 2010...

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