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Q.1. (35%) Cable DB supports canopy beam OABC as shown in the figure. a) Find the required cross-sectional area of cable BD if the allowable normal stress is 200MPa. Je 1.5 m - P=25 kN b) Determine the required diameter of the pins at O if the 2.5 m allowable stress in shear is 120MP.. (Hint: use resultant 1.5 m- 1.5 m- force at O and The pin at O is in double shear.) A c) Determine the elongation and strain of the cable DB if 2.25 m E=180Gpa. (Consider the area of the cable DB as it is calculated in part (a)) Assume that canopy beam weight is W=11KN. Q.2. (35%) A device consists of a horizontal beam ABC supported by two vertical bars BD and CE. Bar CE is pinned at both ends but bar BD is fixed to the foundation at its lower end. The distance from A to B is 800 mm and 800 mm 500 mm from B to C is 500 mm. Bars BD and CE have 600 mm lengths of 400 mm and 600 mm, respectively, and their cross-sectional area is 650 mm² . The bars are made of steel having a modulus of elasticity E=200 GPa. If load P is 45 kN, calculate the displacement at point A. 100 mm

Q.1. (35%) Cable DB supports canopy beam OABC as shown in the figure. a) Find the required cross-sectional area of cable BD if the allowable normal stress is 200MPa. Je 1.5 m - P=25 kN b) Determine the required diameter of the pins at O if the 2.5 m allowable stress in shear is 120MP.. (Hint: use resultant 1.5 m- 1.5 m- force at O and The pin at O is in double shear.) A c) Determine the elongation and strain of the cable DB if 2.25 m E=180Gpa. (Consider the area of the cable DB as it is calculated in part (a)) Assume that canopy beam weight is W=11KN. Q.2. (35%) A device consists of a horizontal beam ABC supported by two vertical bars BD and CE. Bar CE is pinned at both ends but bar BD is fixed to the foundation at its lower end. The distance from A to B is 800 mm and 800 mm 500 mm from B to C is 500 mm. Bars BD and CE have 600 mm lengths of 400 mm and 600 mm, respectively, and their cross-sectional area is 650 mm² . The bars are made of steel having a modulus of elasticity E=200 GPa. If load P is 45 kN, calculate the displacement at point A. 100 mm

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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Q.1. (35%) Cable DB supports canopy beam OABC as shown in the figure. a) Find the required cross-sectional area of cable BD if the allowable normal stress is 200MPa. Je 1.5 m - P=25 kN b) Determine the required diameter of the pins at O if the 2.5 m allowable stress in shear is 120MP.. (Hint: use resultant 1.5 m- 1.5 m- force at O and The pin at O is in double shear.) A c) Determine the elongation and strain of the cable DB if 2.25 m E=180Gpa. (Consider the area of the cable DB as it is calculated in part (a)) Assume that canopy beam weight is W=11KN.
Transcribed Image Text:Q.1. (35%) Cable DB supports canopy beam OABC as shown in the figure. a) Find the required cross-sectional area of cable BD if the allowable normal stress is 200MPa. Je 1.5 m - P=25 kN b) Determine the required diameter of the pins at O if the 2.5 m allowable stress in shear is 120MP.. (Hint: use resultant 1.5 m- 1.5 m- force at O and The pin at O is in double shear.) A c) Determine the elongation and strain of the cable DB if 2.25 m E=180Gpa. (Consider the area of the cable DB as it is calculated in part (a)) Assume that canopy beam weight is W=11KN.
Q.2. (35%) A device consists of a horizontal beam ABC supported by two vertical bars BD and CE. Bar CE is pinned at both ends but bar BD is fixed to the foundation at its lower end. The distance from A to B is 800 mm and 800 mm 500 mm from B to C is 500 mm. Bars BD and CE have 600 mm lengths of 400 mm and 600 mm, respectively, and their cross-sectional area is 650 mm² . The bars are made of steel having a modulus of elasticity E=200 GPa. If load P is 45 kN, calculate the displacement at point A. 100 mm
Transcribed Image Text:Q.2. (35%) A device consists of a horizontal beam ABC supported by two vertical bars BD and CE. Bar CE is pinned at both ends but bar BD is fixed to the foundation at its lower end. The distance from A to B is 800 mm and 800 mm 500 mm from B to C is 500 mm. Bars BD and CE have 600 mm lengths of 400 mm and 600 mm, respectively, and their cross-sectional area is 650 mm² . The bars are made of steel having a modulus of elasticity E=200 GPa. If load P is 45 kN, calculate the displacement at point A. 100 mm
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