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Statics Solved Problems

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


​Two Dimensional Static Equilibrium

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​2.1 - Calculate the tension in each cable
2D Statics Solved Problem
Solution

​​2.2 - Calculate the tension in each cable
2D Statics Solved Problem
Solution

​2.3 - Calculate the tension in each cable
2D Statics Solved Problem
solution

​2.4 - Calculate the tension in each cable
2D Statics Solved Problem
Solution

​2.5 - Determine the mass of the block, assume no friction
Statics Inclined Plane Problem
Solution

​2.6 - Determine the magnitude force F, assume no friction
Statics Inclined Planed Problem
Solution

2.7 - Calculate the tension in each cable and determine the unknown masses
Statics Multiple Pulley Solved Problem
Solution

​2.8 Calculate the tension in each cable and determine the unknown masses
Statics 2D Multiple Pulley Solved Problem
Solution


​Moments

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3.1 - Determine the support reactions at A and B
Statics Moments Solved Problem
Solution

​3.2 - Determine the support reactions at A and B
Statics Moments Solved Problem
Solution

​3.3 - Determine the support reactions at A and B
Statics Moments Solved Problem
Solution

​3.4 - Determine the support reactions at A
Statics Moments Solved Problem
Solution

​3.5 - Determine the support reactions at A
Statics Moments Solved Problem
Solution


​Friction

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4.1 - Determine the max force F that can be applied without the box sipping
Statics Friction Solved Problem
Solution

4.2 - Determine the force of friction acting on this box that is at rest on a slope
Statics Solved Friction Problem
Solution

4.3 - Determine the maximum angle that the box would remain at rest
Statics Solved Friction Problem
Solution


​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.
Statics Solved 3D Problem
Solution


​Trusses

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6.1 - Use the method of joints to find the internal force in every member
Statics Solved Truss Method of Joints Example Problem
Solution

​6.2 - Use the method of sections to find the internal force in member CE
Statics Solved Truss Method of Sections Example Problem
Solution

6.3 - Use the method of joints to find the internal force in every member
Statics Solved Truss Method of Joints Example Problem
Solution

6.4 - Use the method of sections to find the internal force in member CD
Statics Solved Truss Method of Sections Example Problem
Solution

6.5 - Determine the internal force in this specific member of the truss if each member is 1m long
Statics Solved Truss Method of Sections Example Problem
Solution


Centroids and Distributed Loads

The solutions to these practice problems are visible to much my appreciated Patreon supporters. If you solve every practice problem there's a pretty good chance that you will ace your course. By choosing the $10 tier on Patreon you can immediately unlock all solutions. ​

​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. 
Statics Centroid Example Problem With Solution
Solution

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

​8.3 - Several blocks are resting on a simply supported beam. Determine the reaction forces. 
Statics Centroid Example Problem With Solution
Solution

​8.4 - A triangular distributed load is acting downward on a simply supported beam. Determine the reaction forces. 
Statics Centroid Example Problem With Solution
Solution

​8.5 - This simply supported beam has a composite distribute load (rectangular and parabolic). Determine the reaction forces.
Statics Centroid Example Problem With Solution
Solution


Shear Force and Bending Moment Diagrams

The solutions to these practice problems are visible to much my appreciated Patreon supporters. If you solve every practice problem there's a pretty good chance that you will ace your course. By choosing the $10 tier on Patreon you can immediately unlock all solutions. ​

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

​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
Shear force and bending moment diagram example with solution
Solution

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

​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
Shear force and bending moment diagram example with solution
Solution

​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
Shear force and bending moment diagram example with solution
Solution

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

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

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

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

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

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

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

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

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

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

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

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