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c) Show, by integration, that the deflection of the beam x metres from one end is described by the equation 24 EI (,79+,7* -) (d) State the value of x at which the maximum deflection occurs and hence show the maximum deflection, ymar, of a heavy beam of length L is given by wl Yemax BEI You are given the following details.

c) Show, by integration, that the deflection of the beam x metres from one end is described by the equation 24 EI (,79+,7* -) (d) State the value of x at which the maximum deflection occurs and hence show the maximum deflection, ymar, of a heavy beam of length L is given by wl Yemax BEI You are given the following details.

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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Solve q4 part both parts c ,d and e plz solve this in maximum 2 hour if u can't solve this u can reject in one hour so that i can't wait of your answer plz..
where is Young's modulus for the material, is the second moment of area of a cross section of the beam, and is the displacement from the straight line position. A uniform heavy beam of length metres, with downward force density N/m, is built in at the end , and hangs free at its other end. (a) Sketch a diagram that models this situation. (b) State all the boundary conditions that apply and explain fully their meaning. (c) Show, by integration, that the deflection of the beam metres from one end is described by the equation (d) State the value of at which the maximum deflection occurs and hence show the maximum deflection, , of a heavy beam of length is given by You are given the following details. • The second moment of area of a circular section of radius about a diameter is given by. The density of steel is 7.75 x 10' kg/m. Young's modulus for steel is 2 x 10"N/m. The acceleration due to gravity, g= 9.81 m/s. e) Show that the maximum deflection of a steel tube of length 4m with circular cross section of diameter 0.05 m is 0.0649m
Transcribed Image Text:where is Young's modulus for the material, is the second moment of area of a cross section of the beam, and is the displacement from the straight line position. A uniform heavy beam of length metres, with downward force density N/m, is built in at the end , and hangs free at its other end. (a) Sketch a diagram that models this situation. (b) State all the boundary conditions that apply and explain fully their meaning. (c) Show, by integration, that the deflection of the beam metres from one end is described by the equation (d) State the value of at which the maximum deflection occurs and hence show the maximum deflection, , of a heavy beam of length is given by You are given the following details. • The second moment of area of a circular section of radius about a diameter is given by. The density of steel is 7.75 x 10' kg/m. Young's modulus for steel is 2 x 10"N/m. The acceleration due to gravity, g= 9.81 m/s. e) Show that the maximum deflection of a steel tube of length 4m with circular cross section of diameter 0.05 m is 0.0649m
Question 4 For small deflections, the shape of a beam is modelled by the equation: E l y" = w, where E is Young's modulus for the material, I is the second moment of area of a cross section of the beam, and y is the displacement from the straight line position. A uniform heavy beam of length L metres, with downward force density w N/m, is built in at the end x = 0, and hangs free at its other end. (a) Sketch a diagram that models this situation. (b) State all the boundary conditions that apply and explain fully their meaning. c) Show, by integration, that the deflection of the beam x metres from one end is described by the equation 24 EI (*,79+ , 47+ - ,)- (d) State the value of x at which the maximum deflection occurs and hence show the maximum deflection, ymars of a heavy beam of length L is given by Ymex BEI You are given the following details.
Transcribed Image Text:Question 4 For small deflections, the shape of a beam is modelled by the equation: E l y" = w, where E is Young's modulus for the material, I is the second moment of area of a cross section of the beam, and y is the displacement from the straight line position. A uniform heavy beam of length L metres, with downward force density w N/m, is built in at the end x = 0, and hangs free at its other end. (a) Sketch a diagram that models this situation. (b) State all the boundary conditions that apply and explain fully their meaning. c) Show, by integration, that the deflection of the beam x metres from one end is described by the equation 24 EI (*,79+ , 47+ - ,)- (d) State the value of x at which the maximum deflection occurs and hence show the maximum deflection, ymars of a heavy beam of length L is given by Ymex BEI You are given the following details.
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