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A ab Ask Copilot + 2 of 4 60 7/02/18 Question 1 CCB 221-STRENGTH OF MATERIALS (2015/16 SESSION) QUIZ 1-26 FEB 2016-(GROUP C) The stepped bar ABC of Figure Q1 is subjected to two axial forces as shown. The magnitude of the force P applied at C is not known. The bar cross-sectional areas are 12 cm² and 18 cm² for segments AB and BC respectively. The modulus of elasticity of the bar is 10 GPa. (a) (i) Calculate the magnitude of the force P if the displacement at end C is zero. (ii) Determine the normal stress in each segment of the bar indicating which is tensile or compressive. [6 marks] [3 marks] (iii) Determine the normal stain in each segment of the bar. (b) If for some reason it is required that the normal stresses in both segments be the same, calculate the magnitude of the force P and the normal strains in both segments of the bar. [3 marks] [6 marks] 55 KN B 9 A P 12 cm² 18 cm² 30 cm + 20 cm Activate Go to Sett Figure Q1 12°C Partly cloudy

A ab Ask Copilot + 2 of 4 60 7/02/18 Question 1 CCB 221-STRENGTH OF MATERIALS (2015/16 SESSION) QUIZ 1-26 FEB 2016-(GROUP C) The stepped bar ABC of Figure Q1 is subjected to two axial forces as shown. The magnitude of the force P applied at C is not known. The bar cross-sectional areas are 12 cm² and 18 cm² for segments AB and BC respectively. The modulus of elasticity of the bar is 10 GPa. (a) (i) Calculate the magnitude of the force P if the displacement at end C is zero. (ii) Determine the normal stress in each segment of the bar indicating which is tensile or compressive. [6 marks] [3 marks] (iii) Determine the normal stain in each segment of the bar. (b) If for some reason it is required that the normal stresses in both segments be the same, calculate the magnitude of the force P and the normal strains in both segments of the bar. [3 marks] [6 marks] 55 KN B 9 A P 12 cm² 18 cm² 30 cm + 20 cm Activate Go to Sett Figure Q1 12°C Partly cloudy

Structural Analysis
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 ab Ask Copilot + 2 of 4 60 7/02/18 Question 1 CCB 221-STRENGTH OF MATERIALS (2015/16 SESSION) QUIZ 1-26 FEB 2016-(GROUP C) The stepped bar ABC of Figure Q1 is subjected to two axial forces as shown. The magnitude of the force P applied at C is not known. The bar cross-sectional areas are 12 cm² and 18 cm² for segments AB and BC respectively. The modulus of elasticity of the bar is 10 GPa. (a) (i) Calculate the magnitude of the force P if the displacement at end C is zero. (ii) Determine the normal stress in each segment of the bar indicating which is tensile or compressive. [6 marks] [3 marks] (iii) Determine the normal stain in each segment of the bar. (b) If for some reason it is required that the normal stresses in both segments be the same, calculate the magnitude of the force P and the normal strains in both segments of the bar. [3 marks] [6 marks] 55 KN B 9 A P 12 cm² 18 cm² 30 cm + 20 cm Activate Go to Sett Figure Q1 12°C Partly cloudy
Transcribed Image Text:A ab Ask Copilot + 2 of 4 60 7/02/18 Question 1 CCB 221-STRENGTH OF MATERIALS (2015/16 SESSION) QUIZ 1-26 FEB 2016-(GROUP C) The stepped bar ABC of Figure Q1 is subjected to two axial forces as shown. The magnitude of the force P applied at C is not known. The bar cross-sectional areas are 12 cm² and 18 cm² for segments AB and BC respectively. The modulus of elasticity of the bar is 10 GPa. (a) (i) Calculate the magnitude of the force P if the displacement at end C is zero. (ii) Determine the normal stress in each segment of the bar indicating which is tensile or compressive. [6 marks] [3 marks] (iii) Determine the normal stain in each segment of the bar. (b) If for some reason it is required that the normal stresses in both segments be the same, calculate the magnitude of the force P and the normal strains in both segments of the bar. [3 marks] [6 marks] 55 KN B 9 A P 12 cm² 18 cm² 30 cm + 20 cm Activate Go to Sett Figure Q1 12°C Partly cloudy
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