GATE Previous Year Questions: Euler's Load and Factor of Safety, SOM

# GATE Previous Year Questions: Euler's Load and Factor of Safety, SOM Video Lecture | Topicwise Question Bank for Mechanical Engineering

## Topicwise Question Bank for Mechanical Engineering

45 videos|314 tests

## FAQs on GATE Previous Year Questions: Euler's Load and Factor of Safety, SOM Video Lecture - Topicwise Question Bank for Mechanical Engineering

 1. What is Euler's load and how is it calculated?
Ans. Euler's load refers to the critical load at which a slender column (long and slender structural member) under axial compression will buckle. It is calculated using the formula P = π²EI / L², where P is the Euler's load, E is the modulus of elasticity of the material, I is the area moment of inertia of the column's cross-sectional shape, and L is the effective length of the column.
 2. What is the factor of safety and why is it important in structural design?
Ans. The factor of safety is a measure of how much stronger a structure is compared to the maximum expected loads it will experience. It is the ratio of the ultimate load capacity of the structure to the maximum expected load. A higher factor of safety indicates a more conservative and robust design. It is important in structural design to ensure that the structure can withstand all possible loads without failure, providing a margin of safety against unexpected events or variations in loads.
 3. How is the factor of safety calculated for a structure?
Ans. The factor of safety is calculated by dividing the ultimate load capacity of the structure by the maximum expected load. The ultimate load capacity is determined through analysis, testing, or reference to design codes and standards. The maximum expected load is determined based on the anticipated loads the structure will experience during its intended use. The factor of safety is usually specified by design codes or standards for different types of structures or materials.
 4. What are the factors that can affect the factor of safety in structural design?
Ans. Several factors can affect the factor of safety in structural design. Some of the key factors include the accuracy of load calculations, material properties and behavior, structural geometry and configuration, quality of construction, environmental conditions, and the level of uncertainty in load predictions. It is important for engineers to consider these factors and make appropriate design choices to ensure an adequate factor of safety.
 5. How does Euler's load relate to the factor of safety in column design?
Ans. Euler's load provides a critical load value at which a column will buckle under axial compression. The factor of safety is then applied to this critical load to ensure that the column can safely carry the expected loads without buckling or failure. By comparing the Euler's load to the maximum expected load and considering other design factors, engineers can determine an appropriate factor of safety to ensure the structural integrity and stability of the column.

## Topicwise Question Bank for Mechanical Engineering

45 videos|314 tests

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