Use the worked example above to help you solve this problem. A vertical steel beam in a building supports a load of 7.2 x 10° N. (a) If the length of the beam is 4.0 m and its cross-sectional area is 7.1 × 10~³ m², find the distance the beam is compressed along its length. 2.53e-4 Your response differs from the correct answer by more than 10%. Double check your calculations. (b) What maximum load in newtons could the steel beam support before failing?
Use the worked example above to help you solve this problem. A vertical steel beam in a building supports a load of 7.2 x 10° N. (a) If the length of the beam is 4.0 m and its cross-sectional area is 7.1 × 10~³ m², find the distance the beam is compressed along its length. 2.53e-4 Your response differs from the correct answer by more than 10%. Double check your calculations. (b) What maximum load in newtons could the steel beam support before failing?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![### Problem Solving Exercise: Steel Beam and Cable
#### Problem Statement
A vertical steel beam in a building supports a load of \(7.2 \times 10^4\) N.
#### Questions
**(a)** If the length of the beam is 4.0 m and its cross-sectional area is \(7.1 \times 10^{-3}\) m², find the distance the beam is compressed along its length.
- **Answer Box:** \(2.53e-4\) ✖
*Note: Your response differs from the correct answer by more than 10%. Double-check your calculations.*
**(b)** What maximum load in newtons could the steel beam support before failing?
- **Answer Box:** ______ N
---
### Exercise
**Scenario:**
A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking even under a load of \(2.5 \times 10^6\) N. For safety, the cable must support twice that load.
#### Questions
**(a)** What cross-sectional area should the cable have if it's made of steel?
- **Answer Box:** \(4e-3\) ✖
*Note: Make sure you are looking up the appropriate constant and using the proper relationship. In this case, you should use the tensile strength of steel, which is the force per cross-sectional area at which steel breaks. m²*
**(b)** By how much will a 7.0-m length of this cable stretch when subject to the \(2.5 \times 10^6\) N load?
- **Answer Box:** ______ m
---
### Hints
- **Getting Started:** Think about the basic formulas for stress and strain in materials. Consider the relationship between force, area, and deformation.
- **I'm Stuck:** Review the properties of steel, especially its tensile strength, to ensure safety and accuracy in your calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcce798bc-e132-4b95-bd23-9d9acd97b1f8%2F3a5044be-a403-4afc-9093-cca7b4b90d24%2Fpzo14l_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Solving Exercise: Steel Beam and Cable
#### Problem Statement
A vertical steel beam in a building supports a load of \(7.2 \times 10^4\) N.
#### Questions
**(a)** If the length of the beam is 4.0 m and its cross-sectional area is \(7.1 \times 10^{-3}\) m², find the distance the beam is compressed along its length.
- **Answer Box:** \(2.53e-4\) ✖
*Note: Your response differs from the correct answer by more than 10%. Double-check your calculations.*
**(b)** What maximum load in newtons could the steel beam support before failing?
- **Answer Box:** ______ N
---
### Exercise
**Scenario:**
A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking even under a load of \(2.5 \times 10^6\) N. For safety, the cable must support twice that load.
#### Questions
**(a)** What cross-sectional area should the cable have if it's made of steel?
- **Answer Box:** \(4e-3\) ✖
*Note: Make sure you are looking up the appropriate constant and using the proper relationship. In this case, you should use the tensile strength of steel, which is the force per cross-sectional area at which steel breaks. m²*
**(b)** By how much will a 7.0-m length of this cable stretch when subject to the \(2.5 \times 10^6\) N load?
- **Answer Box:** ______ m
---
### Hints
- **Getting Started:** Think about the basic formulas for stress and strain in materials. Consider the relationship between force, area, and deformation.
- **I'm Stuck:** Review the properties of steel, especially its tensile strength, to ensure safety and accuracy in your calculations.
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