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The simply supported beam shown below is homogeneous, prismatic and has a distributed axial load of p, = pyx applied along its length as shown. y E=constant I,=constant 2. P, =px Required: Work the problem as stated. 1) Using beam theory, derive an expression for each of the following: a. V, =v, (x, p,L) b. M. = M. (x, p.L) c. o = 0 (x,y, p,.1L,E) d. E = 6 (x, y. P, lL,E) e. V, =V6 (x. p,.l.L.E) с. е.

The simply supported beam shown below is homogeneous, prismatic and has a distributed axial load of p, = pyx applied along its length as shown. y E=constant I,=constant 2. P, =px Required: Work the problem as stated. 1) Using beam theory, derive an expression for each of the following: a. V, =v, (x, p,L) b. M. = M. (x, p.L) c. o = 0 (x,y, p,.1L,E) d. E = 6 (x, y. P, lL,E) e. V, =V6 (x. p,.l.L.E) с. е.

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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The simply supported beam shown below is homogeneous, prismatic and has a distributed axial load of Py = Pyx applied along its length as shown. y E=constant I,=constant Py =p,x Required: Work the problem as stated. 1) Using beam theory, derive an expression for each of the following: a. V, =v, (x, p,L) а. M = M. (x, p,L) b. c. On =0 (x, y, p,1.. L,E) d. E = 6x (x, y, p. IL,E) с. e. V, =Vo (x, p,Iz.L,E) 2) Plot the results of (a)-(e) on five different graphs: V, =V, (x), M, = M, (x), ơ = 0 (x), Ex = Ew (x), vo = vo (x) (for a given value of the input loads, geometry, and material properties). 3) Find the vertical reactions at the left and right ends of the beam.
Transcribed Image Text:The simply supported beam shown below is homogeneous, prismatic and has a distributed axial load of Py = Pyx applied along its length as shown. y E=constant I,=constant Py =p,x Required: Work the problem as stated. 1) Using beam theory, derive an expression for each of the following: a. V, =v, (x, p,L) а. M = M. (x, p,L) b. c. On =0 (x, y, p,1.. L,E) d. E = 6x (x, y, p. IL,E) с. e. V, =Vo (x, p,Iz.L,E) 2) Plot the results of (a)-(e) on five different graphs: V, =V, (x), M, = M, (x), ơ = 0 (x), Ex = Ew (x), vo = vo (x) (for a given value of the input loads, geometry, and material properties). 3) Find the vertical reactions at the left and right ends of the beam.
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