If the load on an RCC lintel due to the wall above it is in the form of a triangular portion, then the angle subtended by a triangle at either end of the lintel shall be:
🏛️ Understanding Lintels and Load Distribution
To understand this question, we first need to know what a lintel is and how it behaves under load.
What is a Lintel?
A lintel is a horizontal structural beam placed across an opening (like a door or window) in a wall. Its primary job is to support the weight of the masonry (bricks, blocks, etc.) directly above the opening and transfer that load safely to the walls on either side.
What is "Arching Action"?
You might think a lintel has to support the entire rectangular block of wall all the way to the ceiling. However, that's not the case. Due to the way bricks or blocks are bonded together, they naturally form a self-supporting arch over the opening. This phenomenon is called arching action. It means only a small, triangular portion of the wall load is actually transferred to the lintel. The rest of the load is carried by the arching action and transferred to the surrounding wall.
📐 The Equilateral Triangle Rule
The key to this question lies in the specific shape of the load-bearing triangle.
Why a Triangle?
The arching action creates a zone of load that is roughly triangular. The base of this triangle is the lintel itself (the span of the opening). The sides of the triangle represent the lines of force, or "thrust lines," at which the load is being diverted away from the opening and into the adjacent walls.
The 60-Degree Assumption
For standard masonry construction with sufficient height above the lintel, the load-bearing triangle is assumed to be an equilateral triangle. An equilateral triangle is a special triangle where all three sides are equal in length, and all three internal angles are equal.
Since the sum of angles in any triangle is 180°, and all three angles in an equilateral triangle are equal, each angle must be:
180° / 3 = 60°
Therefore, the angles at the base of the triangle (at each end of the lintel) are both 60°.
🖼️ Visualizing the Load on a Lintel
Imagine a brick wall over a window. The lintel is the beam at the top of the window frame.
- The bricks directly above the lintel form a triangular shape. This is the only part of the wall the lintel actually supports.
- The bricks outside this triangle are supported by the arching action of the surrounding masonry.
- This load triangle has the lintel as its base. The two angles at the base (where the triangle meets the lintel) are both 60°. The peak angle at the top is also 60°.
This principle is fundamental in designing lintels, as it allows engineers to calculate the exact load and design a lintel that is safe but not over-engineered, saving materials and cost.
💡 Key Takeaway for Exams
- Memorize the Rule: For questions about lintel loads in masonry, the key phrase to remember is "equilateral triangle."
- Equilateral = 60°: If you remember "equilateral," you will immediately know that all angles are 60°.
- Arching Action: Understand that arching action is the reason the lintel does *not* carry the full weight of the wall above it. This is a common conceptual point in civil engineering exams.
