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Consider the following Assumptions in the analysis of a plane truss:
1. The individual members are straight.
2. The individual members are connected by frictionless hinges.
3. The loads and reactions acts only at the joints.
1. The individual members are straight.
2. The individual members are connected by frictionless hinges.
3. The loads and reactions acts only at the joints.
Which of the following assumptions are valid?
- a)1 and 2
- b)1 and 3
- c)2 and3
- d)1,2 and 3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Consider the following Assumptions in the analysis of a plane truss:1....
For plane truss assumptions are:
(i) Weight of all members are neglected. All members are straight.
(ii) All connections are smooth, frictionless pins.
(iii) External loads are applied directly to the pin joints.
(iv) All frames are perfect, hence statically determinate.
(i) Weight of all members are neglected. All members are straight.
(ii) All connections are smooth, frictionless pins.
(iii) External loads are applied directly to the pin joints.
(iv) All frames are perfect, hence statically determinate.
Most Upvoted Answer
Consider the following Assumptions in the analysis of a plane truss:1....
Valid Assumptions in Analysis of Plane Truss
There are three assumptions given in the analysis of a plane truss problem. Let's discuss the validity of each assumption.
1. The individual members are straight.
This assumption is valid because plane truss members are usually made from steel, which is a rigid material that can withstand bending and deformation. Also, in the analysis of plane trusses, it is assumed that the members are perfectly straight, and any deflection or bending is negligible. This assumption simplifies the problem and makes it easier to solve.
2. The individual members are connected by frictionless hinges.
This assumption is also valid because in a plane truss, the members are connected at their ends by pins or hinges that allow them to rotate freely. These hinges are assumed to be frictionless because any friction would cause resistance to the rotation of the members and affect the overall behavior of the truss.
3. The loads and reactions act only at the joints.
This assumption is valid because in a plane truss, the loads and reactions are usually applied at the joints where the members meet. This is because the joints are the points where the members are connected, and any load or reaction applied at these points will be transmitted to the other members of the truss. Also, this assumption simplifies the problem and makes it easier to calculate the forces in the members.
Conclusion
From the above discussion, we can conclude that all three assumptions in the analysis of a plane truss problem are valid. These assumptions simplify the problem and make it easier to solve by reducing the complexity of the problem.
There are three assumptions given in the analysis of a plane truss problem. Let's discuss the validity of each assumption.
1. The individual members are straight.
This assumption is valid because plane truss members are usually made from steel, which is a rigid material that can withstand bending and deformation. Also, in the analysis of plane trusses, it is assumed that the members are perfectly straight, and any deflection or bending is negligible. This assumption simplifies the problem and makes it easier to solve.
2. The individual members are connected by frictionless hinges.
This assumption is also valid because in a plane truss, the members are connected at their ends by pins or hinges that allow them to rotate freely. These hinges are assumed to be frictionless because any friction would cause resistance to the rotation of the members and affect the overall behavior of the truss.
3. The loads and reactions act only at the joints.
This assumption is valid because in a plane truss, the loads and reactions are usually applied at the joints where the members meet. This is because the joints are the points where the members are connected, and any load or reaction applied at these points will be transmitted to the other members of the truss. Also, this assumption simplifies the problem and makes it easier to calculate the forces in the members.
Conclusion
From the above discussion, we can conclude that all three assumptions in the analysis of a plane truss problem are valid. These assumptions simplify the problem and make it easier to solve by reducing the complexity of the problem.
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