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1. Derive the relation between the three elastic constants 'C', 'E' and 9.

1. Derive the relation between the three elastic constants 'C', 'E' and 9.

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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5. Derive flexural formula and state the assumptions made while deriving flexural formula. 6. Draw the shear stress distribution across a circular section of diameter 20 mm, acting upon by a shear force of 30 kN. UNIT-III 7. Derive torsion formula and state the assumptions made in deriving torsion formula. 9. 8. A rectangular column of width 120 mm and of thickness 100 mm carries a point load of 120 KN. If the minimum stress at the base of the section is zero, find the eccentricity of the point load and also calculate maximum stress on the section. UNIT-V UNIT-IV A beam AB of span 6m is subjected to UDL of intensity 10KN/m. Determine the deflection of the beam at mid span and maximum deflection in terms of flexural rigidity. 1m 10 kN/m 3m oto 2m 10.A cantilever beam projection 2.5 m from a wall is loaded with a UDL of 80 KN. Determine the area moment of inertia of the beam section, if the deflection of beam at the free end be 8 mm. Take E = 200 GPa. Also determine the slope at the free end. B
Transcribed Image Text:5. Derive flexural formula and state the assumptions made while deriving flexural formula. 6. Draw the shear stress distribution across a circular section of diameter 20 mm, acting upon by a shear force of 30 kN. UNIT-III 7. Derive torsion formula and state the assumptions made in deriving torsion formula. 9. 8. A rectangular column of width 120 mm and of thickness 100 mm carries a point load of 120 KN. If the minimum stress at the base of the section is zero, find the eccentricity of the point load and also calculate maximum stress on the section. UNIT-V UNIT-IV A beam AB of span 6m is subjected to UDL of intensity 10KN/m. Determine the deflection of the beam at mid span and maximum deflection in terms of flexural rigidity. 1m 10 kN/m 3m oto 2m 10.A cantilever beam projection 2.5 m from a wall is loaded with a UDL of 80 KN. Determine the area moment of inertia of the beam section, if the deflection of beam at the free end be 8 mm. Take E = 200 GPa. Also determine the slope at the free end. B
1. Derive the relation between the three elastic constants 'C', 'E' and 9. 2. A 12 mm diameter steel rod passes centrally through a copper tube of 48 mm external diameter and 36 mm internal diameter and 2.5 m long. The tube is closed at each end by 24 mm thick steel plates, which are secured by nuts. The nuts are tightened until the copper tube is reduced in length by 0.508 mm. The whole assembly is then raised in temperature by 60°C. Calculate the stress in copper and steel before and after the rise of temperature assuming the thickness of the plates unchanged. Take E, =2.1 x105 N/mm², Ec =1.05 x105 N/mm², as =1.2 x10-5/°C, ac =1.75 x10-5/°C. UNIT-I UNIT-II 3. Draw SFD and BMD for the following beam and mention the SF and BM values at salient points and calculate the distance of point of contra-flexure from the support A if any. 5 kN C 1m A 8 kN/m 5m B 1.5 m 7 kN D 4. A thin spherical shell of diameter 500 mm and thickness 10 mm is subjected to an internal pressure of 5 MPa. Calculate the value of major and minor principal stresses and maximum shear stress. Also find the change in diameter and volume of the sphere. Take E = 200 GPa and 9 = 0.3.
Transcribed Image Text:1. Derive the relation between the three elastic constants 'C', 'E' and 9. 2. A 12 mm diameter steel rod passes centrally through a copper tube of 48 mm external diameter and 36 mm internal diameter and 2.5 m long. The tube is closed at each end by 24 mm thick steel plates, which are secured by nuts. The nuts are tightened until the copper tube is reduced in length by 0.508 mm. The whole assembly is then raised in temperature by 60°C. Calculate the stress in copper and steel before and after the rise of temperature assuming the thickness of the plates unchanged. Take E, =2.1 x105 N/mm², Ec =1.05 x105 N/mm², as =1.2 x10-5/°C, ac =1.75 x10-5/°C. UNIT-I UNIT-II 3. Draw SFD and BMD for the following beam and mention the SF and BM values at salient points and calculate the distance of point of contra-flexure from the support A if any. 5 kN C 1m A 8 kN/m 5m B 1.5 m 7 kN D 4. A thin spherical shell of diameter 500 mm and thickness 10 mm is subjected to an internal pressure of 5 MPa. Calculate the value of major and minor principal stresses and maximum shear stress. Also find the change in diameter and volume of the sphere. Take E = 200 GPa and 9 = 0.3.
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