M1h124588 - determine the magnitude of unknown forces -


Aim - To assess the knowledge and understanding of the students related to theoretical and practical aspects of the Engineering Mechanics, enhance their capability in analytical skills.

Objective -
1) To analyse force systems for determination of unknown forces.
2) To develop an understanding of statically determinate beams for reactions.
2) To analyse statically determinate plane frames and trusses.

Tasks Expected:

Task 1:

Quiz will be conducted to test the analytical skills of the students related to the module. Quiz will be prepared covering the following topics:
1. Resolution of forces
2. Concurrent Forces/Parallel Forces
3. Resultant of forces

Task 2: Assignment
Student will be required to submit an assignment to examine their knowledge related to the following topics:
1. Laws of forces
2. Conditions of Equilibrium
3. Support Reactions
4. Analysis of truss frames

Answer the following

Questions:

1. Determine the support reactions for the simply supported beam having length 6 meters (Figure 1). The beam carries a uniformly distributed load of (2+R) kN/m acting at a distance of 1m from the Left Hand Support and a point load of (1+R) kN at the mid-span.

1185_Beam.jpg

2. Find out the support reaction and member forces in members AE, EF and BF of the truss shown in Figure 2.

1277_Support reaction.jpg

3. The resultant of two forces when they act at right angles is (10+R) N, whereas when they act at an angle of 60° the resultant is (148+R)0.5. Use Law of Parallelogram of forces to determine the magnitude of unknown forces.

4. A lamp weighing (10+R) N is suspended from the ceiling by a cord A (Figure 3). It is pulled aside by a horizontal cord (B) until the cord (A) makes an angle of 60° with the ceiling. Find the tension in both cords A and B (i) analytically and (ii) graphically.

1113_figure.jpg

5. The cylinder and pulleys arrangement is used to support two blocks as shown in Figure 4. Determine the inclination (θ)of force P with respect to horizontal axis and the normal reaction Ry between cylinder and smooth horizontal surface, if the force system is in equilibrium. Assume that the pulleys are frictionless.

477_figure1.jpg

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Civil Engineering: M1h124588 - determine the magnitude of unknown forces -
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