Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a cross-sectional area of 8.5 x 103 m² and supports a load of 4.7 × 10“ N. Young's modulus for steel is 210 x 10º N/m². (a) How much compression (in mm) does each beam adergo along its length? 0.00012 Consider the basic definition for Young's modulus. mm (b) Determine the maximum load (in N) one of these beams can support without any structural failure if the compressive strength of steel is 1.50 x 108 N/m².

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Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 12.28P: Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108...
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**Steel Beam Problem for Load Bearing Supports**

Steel beams are used for load-bearing supports in a building. Each beam is 4.0 m long with a cross-sectional area of \(8.5 \times 10^{-3}\) m\(^2\) and supports a load of \(4.7 \times 10^4\) N. Young's modulus for steel is \(210 \times 10^9\) N/m\(^2\).

**Problem:**

(a) **How much compression (in mm) does each beam undergo along its length?**

- Incorrect Answer: 0.00012 mm
- Feedback: Consider the basic definition for Young's modulus.

(b) **Determine the maximum load (in N) one of these beams can support without any structural failure if the compressive strength of steel is \(1.50 \times 10^8\) N/m\(^2\).**

**Input Fields:**

1. Compression in mm: [Input Field]
2. Maximum Load \(N\): [Input Field]

**Additional Materials:**

- This section is reserved for supplemental resources or references that might aid in solving the problems above.
Transcribed Image Text:**Steel Beam Problem for Load Bearing Supports** Steel beams are used for load-bearing supports in a building. Each beam is 4.0 m long with a cross-sectional area of \(8.5 \times 10^{-3}\) m\(^2\) and supports a load of \(4.7 \times 10^4\) N. Young's modulus for steel is \(210 \times 10^9\) N/m\(^2\). **Problem:** (a) **How much compression (in mm) does each beam undergo along its length?** - Incorrect Answer: 0.00012 mm - Feedback: Consider the basic definition for Young's modulus. (b) **Determine the maximum load (in N) one of these beams can support without any structural failure if the compressive strength of steel is \(1.50 \times 10^8\) N/m\(^2\).** **Input Fields:** 1. Compression in mm: [Input Field] 2. Maximum Load \(N\): [Input Field] **Additional Materials:** - This section is reserved for supplemental resources or references that might aid in solving the problems above.
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