As per IS800 : 1984 for battened struts the effective length shall be increased by
Steel compression members, often called struts or columns, can be built up using multiple sections connected together. Two common methods for connecting these sections are lacing and battening. Battening involves using transverse plates (battens) to connect the main components of the compression member.
\n\nWhen a battened strut is subjected to compressive load, it tends to buckle. Unlike a solid member or a laced member which primarily resists buckling through bending stiffness, a battened member also experiences shear deformations in the battens and the main components between the battens. These shear deformations reduce the overall stiffness of the member compared to an ideal solid or a perfectly rigid connection system. To account for this reduced stiffness and the resulting lower buckling strength, the Indian Standard code IS800 : 1984 specifies an increase in the effective length of battened compression members.
\n\nAccording to Clause 7.7.3 (e) of IS 800 : 1984, for battened compression members, the effective length ($L_{eff}$) is considered greater than the effective length of an analogous laced column. This increase is specifically mandated to factor in the shear effects present in batten systems.
\n\nThe code IS 800 : 1984 stipulates that the effective length of a battened strut shall be increased by a certain percentage compared to what would be used for a similar laced column or a solid column with the same end conditions and overall length. The specified increase is:
\nIncrease in Effective Length = 10%
\nSo, if $L$ is the actual length of the battened strut and $k$ is the effective length factor based on end conditions, the effective length for buckling calculations is taken as $1.10 \times k \times L$.
\nLet's denote the effective length calculated based on end conditions without considering battening shear effects as $L_{eff, base}$. The effective length to be used for design of battened struts is $L_{eff, battened}$.
\nAs per IS800 : 1984,
\n$\Delta L_{eff} = 10\% \text{ of } L_{eff, base}$
\n$L_{eff, battened} = L_{eff, base} + \Delta L_{eff} = L_{eff, base} + 0.10 \times L_{eff, base} = 1.10 \times L_{eff, base}$
\n\nThe question asks for the percentage by which the effective length of battened struts shall be increased as per IS800 : 1984.
\nBased on the provisions of IS800 : 1984, the effective length is increased by 10%.
\n\nFor battened struts designed according to IS800 : 1984, the effective length used for buckling calculations must be taken as 10% greater than the effective length determined solely based on the end conditions. This accounts for the reduced stiffness due to shear deformation in the battening system.
\n\n| Connecting System | \nEffective Length Adjustment (IS800 : 1984) | \n
|---|---|
| Solid Member | \nEffective length based on end conditions ($kL$) | \n
| Laced Member | \nEffective length based on end conditions ($kL$) | \n
| Battened Member (Strut/Column) | \nIncrease effective length by 10% ($1.10 \times kL$) | \n
| Concept | \nDescription | \nRelevance to Battened Struts | \n
|---|---|---|
| Effective Length | \nThe length of an equivalent pin-ended column having the same buckling strength as the actual column with its support conditions. | \nCrucial for calculating the slenderness ratio and buckling load. Increased for battened members. | \n
| Slenderness Ratio ($\lambda$) | \nRatio of effective length to minimum radius of gyration ($L_{eff}/r_{min}$). | \nDetermines the buckling class and permissible compressive stress for the member. Affected directly by effective length. | \n
| Buckling Strength | \nThe maximum axial compressive load a member can carry before buckling. | \nCalculated based on the effective length and slenderness ratio using appropriate design curves (e.g., Perry-Robertson formula or tables in IS800). Lowered if effective length is higher. | \n
| Battening System | \nTransverse plates connecting components of a built-up compression member. Must be designed to resist transverse shear forces. | \nIntroduces shear deformation, necessitating the 10% effective length increase in the overall member buckling analysis. | \n
Steel compression members are fundamental elements in structures, carrying axial compressive loads. Their design is governed by buckling behavior, which depends heavily on their geometry, material properties, and support conditions. Codes like IS800 provide guidelines for calculating their strength safely.
\nThe effective length of a battened strut of actual length L, effectively held in position both ends but not restrained in direction, is taken as
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