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Questions and Answers
What is the recommended radius for a thicker rope?
What is the recommended radius for a thicker rope?
- 4 cm
- 3 cm (correct)
- 2 cm
- 1 cm
Why are ropes made of a number of thin wires braided together?
Why are ropes made of a number of thin wires braided together?
- To decrease strength
- For ease in manufacture, flexibility, and strength (correct)
- To increase rigidity
- To reduce flexibility
What is the relation for the amount of sag in a loaded bar of length l, breadth b, and depth d?
What is the relation for the amount of sag in a loaded bar of length l, breadth b, and depth d?
- δ = Wl^3 / (4bd^3Y) (correct)
- δ = Wl / (4bd^3Y)
- δ = Wl^2 / (4bd^2Y)
- δ = Wl / (4bdY)
What should be increased to reduce bending for a given load?
What should be increased to reduce bending for a given load?
What is the term for the bending of a deep bar due to the load not being at the right place?
What is the term for the bending of a deep bar due to the load not being at the right place?
What is the shape shown in Fig. 8.7(c) designed to reduce in a beam?
What is the shape shown in Fig. 8.7(c) designed to reduce in a beam?
What is the purpose of using pillars or columns in buildings and bridges?
What is the purpose of using pillars or columns in buildings and bridges?
What type of pillar supports less load than the one with a distributed shape at the ends?
What type of pillar supports less load than the one with a distributed shape at the ends?
What is the condition under which the maximum height of a mountain on earth can be provided?
What is the condition under which the maximum height of a mountain on earth can be provided?
What does the force per unit area due to the weight of the mountain provide at the bottom of a mountain?
What does the force per unit area due to the weight of the mountain provide at the bottom of a mountain?
Why do beams used in construction of bridges and supports have a cross-section of the type I?
Why do beams used in construction of bridges and supports have a cross-section of the type I?
Why does a heap of sand or a hill have a pyramidal shape?
Why does a heap of sand or a hill have a pyramidal shape?
What is the main reason for using a thick metal rope in cranes for lifting heavy loads?
What is the main reason for using a thick metal rope in cranes for lifting heavy loads?
What does the area of cross-section of the rope in a crane depend on?
What does the area of cross-section of the rope in a crane depend on?
What is the significance of the yield strength of a material in the context of designing a crane rope?
What is the significance of the yield strength of a material in the context of designing a crane rope?
Why is precise knowledge of the elastic behaviour of materials essential in engineering designs?
Why is precise knowledge of the elastic behaviour of materials essential in engineering designs?
In the context of designing a crane, why is it important for the rope's extension to not exceed the elastic limit?
In the context of designing a crane, why is it important for the rope's extension to not exceed the elastic limit?
What does the area of cross-section of the rope in a crane depend on?
What does the area of cross-section of the rope in a crane depend on?
Why is the yield strength of a material important in the context of designing a crane rope?
Why is the yield strength of a material important in the context of designing a crane rope?
Why is precise knowledge of the elastic behaviour of materials essential in engineering designs?
Why is precise knowledge of the elastic behaviour of materials essential in engineering designs?
True or false: The elastic behaviour of materials is not important in everyday life.
True or false: The elastic behaviour of materials is not important in everyday life.
True or false: The study of structural engineering is not based on concepts developed from the elastic behaviour of materials.
True or false: The study of structural engineering is not based on concepts developed from the elastic behaviour of materials.
True or false: The area of cross-section of the rope in a crane should be at least A ≥ W/σy.
True or false: The area of cross-section of the rope in a crane should be at least A ≥ W/σy.
True or false: Mild steel has a yield strength of about 300 × 10^6 N m–2.
True or false: Mild steel has a yield strength of about 300 × 10^6 N m–2.
True or false: The area of cross-section (A) of the rope should be 3.3 × 10^-4 m2 for a crane with a lifting capacity of 10 tonnes.
True or false: The area of cross-section (A) of the rope should be 3.3 × 10^-4 m2 for a crane with a lifting capacity of 10 tonnes.
True or false: Cranes used for lifting heavy loads from one place to another do not require precise knowledge of the elastic behaviour of materials.
True or false: Cranes used for lifting heavy loads from one place to another do not require precise knowledge of the elastic behaviour of materials.
True or false: The elastic limit of the rope in a crane should not be exceeded to prevent permanent deformation.
True or false: The elastic limit of the rope in a crane should not be exceeded to prevent permanent deformation.
True or false: The extension of the rope in a crane should exceed the elastic limit to accommodate heavier loads.
True or false: The extension of the rope in a crane should exceed the elastic limit to accommodate heavier loads.
True or false: The shape of the beams used in construction of bridges and supports is irrelevant to their structural integrity.
True or false: The shape of the beams used in construction of bridges and supports is irrelevant to their structural integrity.
True or false: The use of thick metal rope in cranes for lifting heavy loads is not based on the elastic behaviour of materials.
True or false: The use of thick metal rope in cranes for lifting heavy loads is not based on the elastic behaviour of materials.
Thicker ropes of radius about 3 cm are recommended for cranes due to their ability to withstand large loads and bending.
Thicker ropes of radius about 3 cm are recommended for cranes due to their ability to withstand large loads and bending.
A single wire of the recommended radius for crane ropes would practically be a rigid rod.
A single wire of the recommended radius for crane ropes would practically be a rigid rod.
Increasing the depth of a bar, rather than the breadth, is more effective in reducing bending for a given load.
Increasing the depth of a bar, rather than the breadth, is more effective in reducing bending for a given load.
The cross-sectional shape shown in Fig. 8.7(c) reduces the weight of the beam without sacrificing strength.
The cross-sectional shape shown in Fig. 8.7(c) reduces the weight of the beam without sacrificing strength.
A pillar with rounded ends supports more load than one with a distributed shape at the ends.
A pillar with rounded ends supports more load than one with a distributed shape at the ends.
The maximum height of a mountain on earth can be provided by considering the elastic properties of rocks.
The maximum height of a mountain on earth can be provided by considering the elastic properties of rocks.
The force per unit area due to the weight of the mountain at the bottom is a case of pressure or bulk compression.
The force per unit area due to the weight of the mountain at the bottom is a case of pressure or bulk compression.
A hill has a pyramidal shape due to the someshearing stress on the rocks at the bottom.
A hill has a pyramidal shape due to the someshearing stress on the rocks at the bottom.
The use of beams and columns is not common in the design of buildings.
The use of beams and columns is not common in the design of buildings.
The elastic limit for a typical rock is approximately 30 × 10^7 N m-2.
The elastic limit for a typical rock is approximately 30 × 10^7 N m-2.
Thicker ropes of radius about ______ are recommended for cranes due to their ability to withstand large loads and bending.
Thicker ropes of radius about ______ are recommended for cranes due to their ability to withstand large loads and bending.
Have you ever thought why the beams used in construction of bridges, as supports etc. have a cross-section of the type ________?
Have you ever thought why the beams used in construction of bridges, as supports etc. have a cross-section of the type ________?
What is the term for the bending of a deep bar due to the load not being at the right place?
What is the term for the bending of a deep bar due to the load not being at the right place?
Why does a heap of sand or a hill have a ______ shape?
Why does a heap of sand or a hill have a ______ shape?
In the context of designing a crane, why is it ______ for the rope's extension to not exceed the elastic limit?
In the context of designing a crane, why is it ______ for the rope's extension to not exceed the elastic limit?
What is the shape shown in Fig. 8.7(c) designed to reduce in a beam?
What is the shape shown in Fig. 8.7(c) designed to reduce in a beam?
The elastic limit for a typical rock is approximately ________ N m-2.
The elastic limit for a typical rock is approximately ________ N m-2.
Why is the yield strength of a material ______ in the context of designing a crane rope?
Why is the yield strength of a material ______ in the context of designing a crane rope?
What is the recommended radius for a thicker rope?
What is the recommended radius for a thicker rope?
Why are ropes made of a number of thin wires ______ together?
Why are ropes made of a number of thin wires ______ together?
Thicker ropes of radius about 3 cm are recommended for cranes due to their ability to withstand large loads and bending.
Thicker ropes of radius about 3 cm are recommended for cranes due to their ability to withstand large loads and bending.
The force per unit area due to the weight of the mountain at the bottom is a case of ______ or bulk compression.
The force per unit area due to the weight of the mountain at the bottom is a case of ______ or bulk compression.
What does the force per unit area due to the weight of the mountain provide at the bottom of a mountain?
What does the force per unit area due to the weight of the mountain provide at the bottom of a mountain?
What type of pillar supports less load than the one with a distributed shape at the ends?
What type of pillar supports less load than the one with a distributed shape at the ends?
What is the significance of the yield strength of a material in the context of designing a crane rope?
What is the significance of the yield strength of a material in the context of designing a crane rope?
True or ______: The area of cross-section (A) of the rope should be 3.3 × 10^-4 m2 for a crane with a lifting capacity of 10 tonnes.
True or ______: The area of cross-section (A) of the rope should be 3.3 × 10^-4 m2 for a crane with a lifting capacity of 10 tonnes.
What does the area of cross-section of the rope in a crane depend on?
What does the area of cross-section of the rope in a crane depend on?
What is the main reason for using a thick metal rope in cranes for lifting heavy loads?
What is the main reason for using a thick metal rope in cranes for lifting heavy loads?
A hill has a ______ shape due to the someshearing stress on the rocks at the bottom.
A hill has a ______ shape due to the someshearing stress on the rocks at the bottom.
Why is precise knowledge of the elastic behaviour of materials ______ in engineering designs?
Why is precise knowledge of the elastic behaviour of materials ______ in engineering designs?
Match the following with their primary usage:
Match the following with their primary usage:
Match the following with their significance in engineering designs:
Match the following with their significance in engineering designs:
Match the following with their common compromise in design:
Match the following with their common compromise in design:
Match the following with their impact on reducing bending of a beam:
Match the following with their impact on reducing bending of a beam:
Match the following with their role in the design of structures:
Match the following with their role in the design of structures:
What is the significance of the elastic behavior of materials in engineering designs?
What is the significance of the elastic behavior of materials in engineering designs?
Why is the yield strength of a material important in the context of designing a crane rope?
Why is the yield strength of a material important in the context of designing a crane rope?
Why do beams used in construction of bridges and supports have a cross-section of the type I?
Why do beams used in construction of bridges and supports have a cross-section of the type I?
What does the area of cross-section of the rope in a crane depend on?
What does the area of cross-section of the rope in a crane depend on?
Why does a heap of sand or a hill have a pyramidal shape?
Why does a heap of sand or a hill have a pyramidal shape?
Explain the concept of using a large margin of safety and thicker ropes in engineering designs to withstand loads and bending.
Explain the concept of using a large margin of safety and thicker ropes in engineering designs to withstand loads and bending.
How can the bending of a beam under a load be reduced for a given material?
How can the bending of a beam under a load be reduced for a given material?
Explain the significance of the cross-sectional shape shown in Fig. 8.7(c) in the context of reducing the weight of the beam without sacrificing strength.
Explain the significance of the cross-sectional shape shown in Fig. 8.7(c) in the context of reducing the weight of the beam without sacrificing strength.
Why is the use of pillars or columns common in buildings and bridges?
Why is the use of pillars or columns common in buildings and bridges?
Explain how the elastic properties of rocks are considered in determining the maximum height of a mountain on earth.
Explain how the elastic properties of rocks are considered in determining the maximum height of a mountain on earth.
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Study Notes
Applications of Elastic Behavior of Materials
- Elastic behavior of materials plays a crucial role in everyday life and is essential for precise engineering designs
- Knowledge of elastic behavior is necessary for designing structures such as buildings, bridges, and supports
- Beams used in construction of bridges and supports have a cross-section of the type I shape due to the understanding of elastic behavior
- Heaps of sand and hills have a pyramidal shape due to the concept of elastic behavior
- Cranes used for lifting and moving heavy loads require a precise understanding of elastic behavior to ensure the rope does not deform permanently
Design Considerations for Cranes
- To design a crane with a lifting capacity of 10 tonnes, the steel rope must be thick enough to withstand the load without exceeding the elastic limit
- The yield strength (σy) of mild steel is approximately 300 × 10^6 N m^-2
- The area of cross-section (A) of the rope should be at least A ≥ W/σy = Mg/σy
- For a crane with a lifting capacity of 10 tonnes, the area of cross-section of the rope should be at least 3.3 × 10^-4 m^2, corresponding to a radius of about 1 cm for a rope of circular cross-section
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