98 results.
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Find the sum of two couples in a plane.
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Find the moment of a couple formed by two equal and opposite forces.
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Solve for an angle which will result in equilibrium for a triangle subjected to three couples. A trial and error solution is recommended.
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Calculate the moment of a force. Must calculate perpendicular distance based on simple geometry, and recognize direction.
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Find the force required to produce a given moment, or vice-versa.
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Shear and Bending Moment diagram for a cantilevered beam loaded with concentrated forces and moments.
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Find the moment of inertia of semi and quarter circles using the parallel axis theorem.
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Find the area, first moment of area, and coordinates of a general spandrel. The area may be above or below the function.
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Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis. Parallel axis theorem is often required.
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Simple geometry to introduce the three-force-body procedure.
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An A-frame structure supporting a force and a moment. The feet are at the same vertical position, so taking moments at one foot yields the y component of the reaction at the other.
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Use integration to find the centroid of an area bounded by a parabola, a sloping line, and the y-axis.
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Identify errors in student-drawn free body diagrams of a frame.
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Given the moment of inertia of an area about an arbitrary axis, find the centroidal moment of inertia and the moment of inertia about a second axis.
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Write expressions for the moment of inertia of simple shapes about various axes.
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Find the tension required to hold a pole at a specified angle.
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Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.
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Given the specifications of two vectors, draw the parallelogram representing their sum, then estimate length of the diagonal.
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Find an interior angle and length of a diagonal of a random parallelogram.
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Determine the maximum load on a truss given two constraints. Truss includes zero-force members.
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Solve for the internal force in three members of a truss.
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Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.
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Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.
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Find moment of inertia wrt the x- and y- axes for a shape made up of two rectangles.
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Find moment of inertia and radius of gyration for a built-up beam made of two channels and two plates.
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Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.
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Find centroidal moments of inertia and radius of gyration for a beam composed of two angle sections forming a box beam.
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Find the centroid and the centroidal moments of inertia for a beam composed of a flat plate and two angle sections.
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Find the centroidal moment of inertia of a sideways T shape. This requires first locating the centroid, then applying the parallel axis theorem.
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Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.
The parallel axis theorem is not required for any of these shapes. One situation requires subtracting a triangle from a rectangle however.
Distinguish between centroidal and non-centroidal moments of inertia.
