The frame comprises members ABC, CD, and BEDF. This frame is fixed at A, and the connections between the three members are pins. Load P is applied at F. Which of the following statements is TRUE?
To determine which members of the frame are two-force members, we need to understand the concept of a two-force member in structural analysis. A two-force member is a structural component that only has two non-collinear forces acting on it, typically acting at its endpoints. The key characteristic is that the resultant internal forces are along the line joining these two points, meaning there are no moments, and the member is in pure tension or compression.
Let's evaluate each member in the frame:
- Member ABC: This member has three points of interaction: at point A (fixed), at point B (pin connection), and at point C (pin connection). Since it is fixed at A and connected at two other points, it is not a two-force member because it has more than two forces acting on it (including moments at the fixed end).
- Member CD: This member has connections only at points C and D, both of which are pin connections. There are no other forces or moments, so CD can only be a two-force member, as the forces are applied only at its endpoints.
- Member BEDF: This is a single continuous member with four points of interaction: B, E, D, and F, including a point load at F. The presence of more than two forces and the external load P at F disqualifies it from being a two-force member.
Based on this analysis, CD is the only member in pure tension or compression, making it the only two-force member in the frame. Thus, the correct statement is:
Important Questions from Analytical Aptitude
An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases.
Which one of the following is a part of a possible trajectory of the ant during the movement?A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.
What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.
If the security guard does not move around the posted location and has a 360° view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.
- A person was born on the fifth Monday of February in a particular year.
Which one of the following statements is correct based on the above information? - The vector sum of all the external forces acting on a rigid body is expressed as $\sum F$ and the vector sum of moments of the external forces about a point is given as $\sum M$. The rigid body is in equilibrium if
