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Thermal Stress and Deformation

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Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained)

A metal bar is 4m long at 30°C. If the temperature rises to 85°C, determine the following if its coefficient of thermal expansion is 11.6x10-6mm/mm°C.
a. The total length (m) of the bar at 85°C.
b. The stress (MPa) on the bar.
c. If the ends of the bar are prevented from expanding, how much stress (MPa) is produced on the bar? Use E = 200GPa.

Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 1: Thermal Stress and Deformation (Unrestrained and Restrained) – Diagram

Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions

A steel rod 3ft long with a cross-sectional area of 0.25in2 is stretched between two fixed points. The tensile force is 1200lb at 40°F. Using E=29x106psi and α=6.5x10-6mm/mm°F, determine the following:
a. The temperature at which the stress in the bar is 10ksi.
b. The temperature at which the stress in the bar is zero.
c. The temperature at which the stress in the bar is 3200psi.

Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 2: Steel Rod Stretched between Two Supports with Stress Conditions – Diagram

Problem 3: Statically Indeterminate Members and Yielding of Support

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 3: Statically Indeterminate Members and Yielding of Support – Diagram

Problem 4: Bar with Gap at the Support

The bronze bar 3m long with a cross-sectional area of 350mm2 is placed between two rigid walls. At a temperature of -20°C, there is a gap Δ=2.2mm, as shown in the figure. Find the temperature at which the compressive stress in the bar will be 30MPa. Use α=18.0x10-6/°C and E = 80GPa

Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 4: Bar with Gap at the Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 4: Bar with Gap at the Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 4: Bar with Gap at the Support – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 4: Bar with Gap at the Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 4: Bar with Gap at the Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 4: Bar with Gap at the Support – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 4: Bar with Gap at the Support – Diagram

Problem 5:

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 5: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 5: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 5: – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 5: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 5: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 5: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 5: – Diagram

Problem 6:

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 6: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 6: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 6: – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 6: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 6: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 6: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 6: – Diagram

Problem 7:

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 7: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 7: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 7: – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 7: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 7: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 7: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 7: – Diagram

Problem 8:

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 8: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 8: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 8: – Diagram

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Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 8: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 8: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 8: – Diagram Thermal Stress and Deformation | Mechanics of Deformable Bodies – Problem 8: – Diagram
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