A conveyor is dispersing sands which forms into a conical pile whose height is approximately 4/3 of its base radius. Determine how fast the volume of the conical sand is changing when the radius of the base is 3 feet, if the rate of change of the radius is 3 inches per minute.
A Toyota Land Cruiser drives east from point A at 30 kph. Another car, Ford Expedition, starting from B at the same time, drives S30°W toward A at 60 kph. B is 30 km from A. How fast in kph is the distance between two cars changing after 30 minutes? Hint: Use the Cosine Law.
A simply supported beam has a span of 12 m. The beam carries a total uniformly distributed load of 21.5 kN/m. 1. To prevent excessive deflection, a support is added at midspan. Calculate the resulting moment (kN·m) at the added support.
2. Calculate the resulting maximum positive moment (kN·m) when a support is added at midspan.
3. Calculate the reaction (kN) at the added support.
Submitted by Jhun Vert on August 26, 2019 - 9:32am
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A 12-m pole is fixed at its base and is subjected to uniform lateral load of 600 N/m. The pole is made-up of hollow steel tube 273 mm in outside diameter and 9 mm thick.
1. Calculate the maximum shear stress (MPa).
2. Calculate the maximum tensile stress (MPa).
3. Calculate the force (kN) required at the free end to restrain the displacement.