Statics Solved Problems

2D static equilibrium | moments | friction | 3D static equilibrium | trusses | frames & machines | centroids & distributed loads | shear force & bending moment diagrams

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​Two Dimensional Static Equilibrium

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​2.1 - Calculate the tension in each cable

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​​2.2 - Calculate the tension in each cable

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​2.3 - Calculate the tension in each cable

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​2.4 - Calculate the tension in each cable

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​2.5 - Determine the mass of the block, assume no friction

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​2.6 - Determine the magnitude force F, assume no friction

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2.7 - Calculate the tension in each cable and determine the unknown masses

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​2.8 Calculate the tension in each cable and determine the unknown masses

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​Moments

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3.1 - Determine the support reactions at A and B

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​3.2 - Determine the support reactions at A and B

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​3.3 - Determine the support reactions at A and B

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​3.4 - Determine the support reactions at A

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​3.5 - Determine the support reactions at A

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​Friction

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4.1 - Determine the max force F that can be applied without the box sipping

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4.2 - Determine the force of friction acting on this box that is at rest on a slope

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4.3 - Determine the maximum angle that the box would remain at rest

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​Three Dimensional Static Equilibrium

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5.1 - A climber is holding onto two ropes that are anchored to an icy slope at points A and B. Determine the tension in each rope. The climber forgot their crampons (spiky shoes) at home like a total mountaineering rookie, so assume no friction.

Solution

​Trusses

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6.1 - Use the method of joints to find the internal force in every member

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​6.2 - Use the method of sections to find the internal force in member CE

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6.3 - Use the method of joints to find the internal force in every member

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6.4 - Use the method of sections to find the internal force in member CD

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6.5 - Determine the internal force in this specific member of the truss if each member is 1m long

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Centroids and Distributed Loads

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​8.1 - A two dimensional block with a mass of 30kg per square metre is resting on a simply supported beam. Determine the reaction forces. 

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​8.2 - A uniformly distributed load of 441.45 N/m is acting downward on a simply supported beam. Determine the reaction forces. 

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​8.3 - Several blocks are resting on a simply supported beam. Determine the reaction forces. 

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​8.4 - A triangular distributed load is acting downward on a simply supported beam. Determine the reaction forces. 

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​8.5 - This simply supported beam has a composite distribute load (rectangular and parabolic). Determine the reaction forces.

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Shear Force and Bending Moment Diagrams

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​9.1 - Draw the shear force and bending moment diagram of this simply supported beam with a single applied point load at mid span

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​9.2 - ​Draw the shear force and bending moment diagram of this simply supported beam with a single applied point load at 1/3 span

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​9.3 - Draw the shear force and bending moment diagram of this simply supported beam with two applied point loads.

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​9.4 - Draw the shear force and bending moment diagram of this simply supported beam with a uniformly distributed load acting on the entire span

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​9.5 - Draw the shear force and bending moment diagram of this simply supported beam with a uniformly distributed load acting on half of the span

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​9.6 - Draw the shear force and bending moment diagram of this simply supported beam with a uniformly distributed load acting on half of the span

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​9.7 - Draw the shear force and bending moment diagram of this simply supported beam with mixed point loads and distributed loads

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​9.8 - Draw the shear force and bending moment diagram of this simply supported beam with mixed point loads and distributed loads

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​9.9 - Draw the shear force and bending moment diagram of this simply supported beam with mixed point loads and distributed loads

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​9.10 - Draw the shear force and bending moment diagram of this simply supported beam with mixed point loads and distributed loads

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​9.11 - Draw the shear force and bending moment diagram of this simply supported beam with mixed point loads and distributed loads

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​9.12 - Draw the shear force and bending moment diagram of this overhanging beam with a single applied point load

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​9.13 - Draw the shear force and bending moment diagram of this overhanging beam with mixed point loads and distributed loads

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​9.14 - Draw the shear force and bending moment diagram of this overhanging beam with mixed distributed loads and applied moments

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​9.15 - Draw the shear force and bending moment diagram of this cantilever beam with a single applied point load

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​9.16 - Draw the shear force and bending moment diagram of this cantilever beam with a single applied distributed load

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​9.17 - Draw the shear force and bending moment diagram of this cantilever beam with multiple applied point loads

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​9.18 - Draw the shear force and bending moment diagram of this cantilever beam with a nasty mix of applied loads and moments.

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