A compact tension specimen is tested according to ASTM standard E399. The load displacement curve is shown in the Figure below with PQ= 120 kN (Type 1 curve). The specimen dimensions are B=0.5 cm, W=10 cm, and “a” =5 cm. If the materials yield stress is 600 MPa are the conditions correct for a valid K1C measurement? Please look up McEviley’s textbook on the thickness criterion for a valid fracture toughness value. The image depicts a graph comparing load versus displacement, featuring three types of loading behaviors labeled as Type I, Type II, and Type III.1. **Axes**: - The vertical axis represents "Load." - The horizontal axis represents "Displacement."2. **Type I**: - Shows a linear increase in load with displacement until it reaches a point where \( P_s = PQ \). - There is a marked point for "3% Secant."3. **Type II**: - Demonstrates an increase in load followed by a small drop at \( P_s \), then a rise to reach \( P_{\text{max}} \) and slight decline. - It highlights the distinct points \( P_Q \) and \( P_s \).4. **Type III**: - The load increases with displacement without any initial drop, reaching \( P_{\text{max}} \). It ends with a rapid drop afterward. - Here, \( P_{\text{max}} = PQ \), indicating a direct correlation between these two points.This diagram is useful for understanding different structural response behaviors under varying loads and displacement conditions.

Data given Load displacement curve = Type 1 PQ= 120 kN B=0.5 cm W=10 cm a =5 cm Yield stress, σys =…

Answered: A compact tension specimen is tested…

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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A compact tension specimen is tested according to ASTM standard E399. The load
displacement curve is shown in the Figure below with PQ= 120 kN (Type 1 curve). The specimen
dimensions are B=0.5 cm, W=10 cm, and “a” =5 cm. If the materials yield stress is 600 MPa are
the conditions correct for a valid K1C measurement?
Please look up McEviley’s textbook on the thickness criterion for a valid fracture toughness value.

The image depicts a graph comparing load versus displacement, featuring three types of loading behaviors labeled as Type I, Type II, and Type III.

1. **Axes**:
- The vertical axis represents "Load."
- The horizontal axis represents "Displacement."

2. **Type I**:
- Shows a linear increase in load with displacement until it reaches a point where \( P_s = PQ \).
- There is a marked point for "3% Secant."

3. **Type II**:
- Demonstrates an increase in load followed by a small drop at \( P_s \), then a rise to reach \( P_{\text{max}} \) and slight decline.
- It highlights the distinct points \( P_Q \) and \( P_s \).

4. **Type III**:
- The load increases with displacement without any initial drop, reaching \( P_{\text{max}} \). It ends with a rapid drop afterward.
- Here, \( P_{\text{max}} = PQ \), indicating a direct correlation between these two points.

This diagram is useful for understanding different structural response behaviors under varying loads and displacement conditions.

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