benchmarks.wiki / Public workspace
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MMMU-Pro / validation_Mechanical_Engineering_24 / A W 8 X 28 beam of a length 10 ft is held between immoveable supports. The beam…
Problem
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question
A W 8 X 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion . If the temperature of the beam is raised uniformly by an amount , calculate the thermal stress in the beam.<image 1>
Plain-text mathematical notation (without MathML)
A W 8 X 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion α=6.5×10^(−6)/^(∘)F . If the temperature of the beam is raised uniformly by an amount ΔT=20^(∘)F , calculate the thermal stress σ_(T) in the beam.<image 1>
Original LaTeX notation
A W 8 X 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion $\alpha=6.5\times10^{-6}/^\circ F$ . If the temperature of the beam is raised uniformly by an amount $\Delta T=20^\circ F$ , calculate the thermal stress $\sigma_{T}$ in the beam.<image 1>img type
- Diagrams
options
- -6.77 ksi
- -4.77 ksi
- -2.77 ksi
- -1.77 ksi
- -2.27 ksi
- -5.77 ksi
- -3.27 ksi
- -3.77 ksi
- -4.27 ksi
subject
Mechanical_Engineering

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Source and history
- upstream_id / Original problem ID
- validation_Mechanical_Engineering_24
- task_id
7965d86a-1495-5dc4-bf28-90d15511490f- task_key
standard~20~2810~20options~29--test--validation~5fMechanical~5fEngineering~5f24- task_revision_id
- 4
- config / split
- standard (10 options) / test
initial import