Milad Soltanalipour

Creating

Shearing areasShear stress is the force parallel to the area per unit area. Shear failure of bolt due to shear stress is one of connection failure types. The shear stress on the bolt depends on the force, area of the bolt cross-section, and number of shearing areas. How many shearing areas do you see in these examples?

Problem 20A water container with tubular stiffeners. Here, we deal with a triangular uniform load caused by hydrostatic pressure.

Problem 18Projecting the force on the principal axes of inertia.

Problem 1Simply supported beam.

Force methodSolving an axially loaded column for support reactions using force method.

Example bearing resistanceBearing resistance is a type of failure in connections. It occurs on the plate around the bolt. The affected area is a half circle with non-uniform stress. For simplification, we work with the projected rectangular area, assuming a uniform stress distribution. How many of these areas do you see? Which plate fails earlier?

Example - HperstaticIn this hyperstatic problem, we apply Castigliano's method to add 1 more equation and find support reactions.

Displacement method

Cylindrical pressure vesselHere you can see a cylindrical pressure vessel. If there is internal pressure, P, what is the magnitude of stresses in the walls? In order to find those stresses, we cut the cylinder in longitudinal and transverse directions, draw free body diagrams and write a force balance. Then we derive equations for longitudinal and transverse (Hoop) stresses. Which stress you think is greater? Longitudinal or hoop stresses?

Composite slabs are subject to bendingComposite slabs are examples of beams application in civil engineering.

Axial force - Example 2An axially loaded column.

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