177 results authored by William Haynes - search across all users.
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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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Given a loaded truss, identify any zero force members by inspection.
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Solve for the internal force in three members of a truss.
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Simple truss with a zero-force member
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Solve Truss by the method of joints. The solution is simplified by recognizing symmetry.
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Find the forces in the members of a truss using the method of joints.
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Use the method of joints to solve for the forces in a cantilever truss.
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This just an equilibrium of a particle problem, but posed in context of a joint as a warm-up for the method of joints.
Advice is brief.
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Friction
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Friction
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Friction
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Friction
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Friction
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An A-frame structure supporting a force and a moment. The feet are at the different vertical positions so the solution will require simultaneous equations, unless you rotate the coordinate system.
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An A-frame structure supporting a force or a moment. One leg is a two force body.
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End of chapter exercises for Engineering Statics: Open and Interactive
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Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.
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Find the shear, normal force and bending moment at a point in a beam supporting a uniformly distributed load.
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Determine expressions for internal shear and bending moment as a function of $x$ for a beam with two vertical loads.
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Find the reactions for a beam with a uniformly distributed load.
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Find the reactions of a simply-supported beam with a trapazoidal distributed load.
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Find the reactions for a beam with a uniformly varying distributed load.
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Find roots and the area under a parabola
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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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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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Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration.
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Find the centroid of a shape made up of a rectangle and two triangles.
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Find the centroid of a shape made from a rectangle, triangle, and circle.
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Locate the centroid of a rectangle, triangle, and semi-circle on a coordinate grid.
