Chapter:
Reinforced-Concrete-Structures
1.
\begin{equation}
\begin{array}{|c|l|l|}
\hline \text { S. No. } & \text { Working stress method (WSM) } & \text { Limit state method (LSM) } \\
\hline 1 & \text { Stress-strain behavior is linear } & \text { Stress-strain behavior is non linear } \\
\hline 2 & \text { WSM is also known as plastic design } & \text { LSM is also known as elastic design } \\
\hline 3 & \begin{array}{l}
\text { WSM is stress based method of RCC } \\
\text { design }
\end{array} & \begin{array}{l}
\text { LSM is strain based method of RCC } \\
\text { design }
\end{array} \\
\hline 4 & \begin{array}{l}
\text { In WSM, the material follows Hookes' } \\
\text { law as stress is not allowed to cross the } \\
\text { yield limit. }
\end{array} & \begin{array}{l}
\text { In LSM, stress is allowed to cross } \\
\text { the yield limit }
\end{array} \\
\hline 5 & \begin{array}{l}
\text { A section which is plane before bending } \\
\text { remains plane even after bending }
\end{array} & \begin{array}{l}
\text { A section which is plane normal to } \\
\text { the axis of structural component } \\
\text { remains plane after bending. }
\end{array} \\
\hline 6 & \begin{array}{l}
\text { In WSM, safety factor is considered. } \\
\text { In LSM, partial safety factor is } \\
\text { considered. }
\end{array} \\
\hline 7 & \begin{array}{l}
\text { In WSM, tensile stresses of concrete are } \\
\text { considered. }
\end{array} & \begin{array}{l}
\text { In LSM, tensile stresses of concrete } \\
\text { are not considered. }
\end{array} \\
\hline 8 & \begin{array}{l}
\text { Modular ratio } \\
\text { taken into consideration to calculate } \\
\text { allowable stresses. }
\end{array} & \begin{array}{l}
\text { The ultimate stresses are considered } \\
\text { as allowable permissible stresses. }
\end{array} \\
\hline
\end{array}
\end{equation}
2. Explain difference between Working Stress and limit stress Philosophy
The salient features of the working stress method are as follows;
- It uses elastic theory for the design of structures, which considers the stress distribution as linear up to the collapse of the structure.
- It accounts working loads during the design.
- It uses factor of safety (FOS) for concrete in bending as 3, FOS for concrete in compression as 4 and FOS for steel as 1.78.
The salient features of limit state method are as follows;
- It uses multiple safety factor formats for the design of structures, which attempts to provide adequate safety at ultimate loads as well as adequate serviceability at service loads.
- It accounts the design loads during the design.
- It uses two limit states; a) Ultimate limit state b) Serviceability limit state.
Difference between Working Stress and limit stress Philosophy:
| S.NO. | Working Stress Method (WSM) | Limit State Method (LSM) |
| 1 | Stress-strain behavior is linear. | Stress-strain behavior is non linear. |
| 2 | WSM is also known as plastic design. | LSM is also known as elastic design. |
| 3 | WSM is stress based method of RCC design. | LSM is strain based method of RCC design. |
| 4 | In WSM, the material follows Hookes law as stress is not allowed to cross the yield limit. | In LSM, stress is allowed to cross the yield limit. |
| 5 | A section which is plane before bending remains plane even after bending. | A section which is plane normal to the axis of structural component remains plane after bending. |
| 6 | In WSM, Safety factor is considered. | In LSM, partial safety factor is considered. |
| 7 | In WSM, tensile stresses of concrete are considered. | In LSM, tensile stresses of concrete are not considered. |
| 8 | Modular ratio, `m=280/(3 sigma_(c b c))` is generally taken into consideration to calculate the allowable stresses. | The ultimate stresses are considered as allowable permissible stresses. |
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