In Linear Arch :a)All the joints are pin connectedb)The shape is simi...
An arch in which the internal forces are purely axial is called a linear arch. If an arch is to take loads, say W1, W2, and W3 and a vector diagram and funicular polygon are plotted, the funicular polygon is known as the linear arch or theoretical arch.
The polar distance 'it represents the horizontal thrust.
The links AC, CD, DE and EB will br under compression and there will be no bending moment. If an arch of this shape ACDEB is provided, there will be no bending moment.
Hence, the correct option is (D)
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In Linear Arch :a)All the joints are pin connectedb)The shape is simi...
Linear Arch
Linear arch is a type of arch that is made up of straight members arranged in a polygonal shape. It is a statically determinate structure which means that all the forces acting on the structure can be calculated using equations of static equilibrium.
Characteristics of Linear Arch
1. Pin connected joints: All the joints in a linear arch are pin connected which means that the members are free to rotate about the pins.
2. Funicular polygon shape: The shape of a linear arch is similar to a funicular polygon which is a polygon formed by the intersection of the funicular polygons of the loads acting on the structure.
3. Axial compressive forces only: Each member of a linear arch will have axial compressive forces and there will be no shear force or bending moment acting on the members.
Advantages of Linear Arch
1. Aesthetically pleasing: Linear arches have a unique and elegant appearance which makes them popular in architecture.
2. Easy to construct: Linear arches are relatively easy to construct compared to other types of arches as they do not require special tools or equipment.
3. Cost-effective: The use of straight members in a linear arch reduces the cost of construction as it eliminates the need for curved members.
Applications of Linear Arch
1. Bridges: Linear arches are commonly used in bridge construction as they can span large distances while maintaining their structural integrity.
2. Roofs: Linear arches are also used in the construction of roofs for buildings as they provide a unique and aesthetically pleasing design.
3. Sculptures: Linear arches can also be used in the creation of sculptures and other artistic structures.
Conclusion
In conclusion, linear arches are a type of arch that is made up of straight members arranged in a polygonal shape. They have pin connected joints, a funicular polygon shape, and each member will have axial compressive forces only. Linear arches are aesthetically pleasing, easy to construct, and cost-effective which makes them popular in architecture. They are commonly used in bridge construction, roof construction, and sculptures.