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
- The assumption that the probability of occurrence of a word in a string depends ONLY on the preceding word is called a ______ assumption.
- Which ONE of the following options represents the correct mapping of the phonetic features in Column X to their Sanskrit equivalents in Column Y?
Column X:
Phonetic featuresColumn Y:
Sanskrit termsP. voicing 1. prāṇa Q. retroflex 2. tālavya R. palatal 3. ghōṣa S. aspiration 4. mūrdhanya - Which ONE of the options represents the CORRECT mapping between the morphological concepts in Column X and the examples in Column Y?
Column X:
Morphological ConceptsColumn Y:
ExamplesP. Suppletion 1. bookmaker – bookie Q. Conversion 2. deer – deer R. Zero morpheme 3. bad – worst S. Hypocorism 4. arrive – arrival T. Derivation 5. (a) doctor – (to) doctor 
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?
