What will happen if the three members are all perpendicular to each ot...
As far as the conditions are required for the equilibrium and for the zero force members, this joint explained will be having a zero force member. Which will be unaffected to shear stress and shear strain. Thus the zero member formation.
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What will happen if the three members are all perpendicular to each ot...
Perpendicular Members and Zero Force Members
When three members are all perpendicular to each other and no external force is applied to them, a zero force member can be formed.
Explanation:
- In a truss structure, members are connected at joints, and forces are transmitted through these members. The forces within the members can be either tensile or compressive.
- A zero force member is a member within a truss structure that does not carry any force when the truss is in equilibrium. This means that the forces acting on the member are balanced, resulting in a net force of zero.
- In order for a member to be a zero force member, it must meet certain conditions. One such condition is that the member must be connected to three other members at the joints, and these three members must be concurrent.
- When three members are all perpendicular to each other, they can be considered concurrent at the point of intersection. This means that the forces acting on this point are balanced, resulting in a net force of zero.
- Therefore, when three members are all perpendicular to each other and no external force is applied to them, a zero force member can be formed at the point of intersection.
- This zero force member does not contribute to the overall stability or strength of the truss structure, as it does not carry any force. It can be seen as a redundant member that is not necessary for the equilibrium of the truss.
- The formation of one zero force member in this case can be visualized as a member connecting the point of intersection of the three perpendicular members to any other point in the truss structure.
- It is important to note that the formation of zero force members is dependent on the specific configuration and conditions of the truss structure. In other cases where the members are not perpendicular or the forces are not balanced, zero force members may not be present.
Therefore, the correct answer is option 'A': There will be formation of one zero force member.
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