Problem 11. [Concepts: Calculating stress from internal forces, nonlinear stress-strain response, elongation from strain.] Acetal plastic has a stress-strain diagram as shown. a) Determine the yield strength assuming a 0.2% offset. b) If a bar of this material has a length of 3 ft and cross-sectional area of 0.875 in², and is subjected to an axial load of 2.5 kip, determine its elongation. c) Determine the modulus of toughness just before it fractures if failure occurs at z = 0.12. σ (psi) -=9.5(10³)¹/3 € (in./in.)

Problem 11. [Concepts: Calculating stress from internal forces, nonlinear stress-strain response, elongation from strain.] Acetal plastic has a stress-strain diagram as shown. a) Determine the yield strength assuming a 0.2% offset. b) If a bar of this material has a length of 3 ft and cross-sectional area of 0.875 in², and is subjected to an axial load of 2.5 kip, determine its elongation. c) Determine the modulus of toughness just before it fractures if failure occurs at z = 0.12. σ (psi) -=9.5(10³)¹/3 € (in./in.)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Problem 11. [Concepts: Calculating stress from internal forces, nonlinear stress-strain
response, elongation from strain.] Acetal plastic has a stress-strain diagram as shown.
a) Determine the yield strength assuming a 0.2% offset.
b) If a bar of this material has a length of 3 ft and cross-sectional area of 0.875 in², and is
subjected to an axial load of 2.5 kip, determine its elongation.
c)
Determine the modulus of toughness just before it fractures if failure occurs at a = 0.12.
σ (psi)
a = 9.5(10³) €¹/3
€ (in./in.)

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Step 1: Introducing given data

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Step 2: Draw stress strain graph till strain of 0.009

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Step 3: Calculate yield strength assuming a 0.2% offset

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Step 4: Calculation of elongation

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Step 5: Calculate toughness modulus (ut)

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