6.19 A beam ABCDEF is 11 m long and is supported at points B andE, which are 2 m and 10 m 110 PART 1 Strength of Materials for Technicians 4th Edition respectively from A, the left-hand end. The beam supports the following loads: a concentrated 1oad of 10 kN at A; a concentrated load of 16 kN at C. which is 5 m from A; a concentrated load of w KN at D, which is 6 m from A; and a concentrated load of 8 kN at F, the right-hand end. In addition there is a uniformly distributed load of 5 kN/m from A to C, as well as a uniformly distributed load of 3 kN/m from D to F. (a) Calculate the magnitude of the reactions at B and E as well as the magnitude of W, given a point of contraflexure 3 m from A. (b) Draw the shear force and bending moment diagrams showing all relevant values. (c) Calculate the position of the other point of contraflexure. [R, = 52,5 kN; R = 31 kN; W = 9,5 kN; V, 32,5 kM Mas= 46,5 kN.m, D; PCF 1,49 m from %3D max %3D max 20 A

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110
PART 1
Strength of Materials for Technicians 4th Edition
0.19 A beam ABCDEF is 11 m long and is supported at points B and E, which are 2 m and 10 m
respectively from A, the left-hand end. The beam supports the following loads: a concentrated
Toad of 10 kN at A; a concentrated load of 16 kN at C. which is 5 m from A; a concentrated load
of W kN at D, which is 6 m from A: and a concentrated load of 8 kN at F, the right-hand end.
In addition there is a uniformly distributed loạd of 5 kN/m from A to C, as well as a uniformly
distributed load of 3 kN/m from D to F.
(a) Calculate the magnitude of the reactions at B and E as well as the magnitude of W, given a
point of contraflexure 3 m from A.
(b) Draw the shear force and bending moment diagrams showing all relevant values.
(c) Calculate the position of the other point of contraflexure.
= 31 kN; W = 9,5 kN; V
M = 46,5 kN.m, D; PCF 1,49 m from
[R, = 52,5 kN; R
= 32,5 kM
max
%3D
20
contil
Transcribed Image Text:110 PART 1 Strength of Materials for Technicians 4th Edition 0.19 A beam ABCDEF is 11 m long and is supported at points B and E, which are 2 m and 10 m respectively from A, the left-hand end. The beam supports the following loads: a concentrated Toad of 10 kN at A; a concentrated load of 16 kN at C. which is 5 m from A; a concentrated load of W kN at D, which is 6 m from A: and a concentrated load of 8 kN at F, the right-hand end. In addition there is a uniformly distributed loạd of 5 kN/m from A to C, as well as a uniformly distributed load of 3 kN/m from D to F. (a) Calculate the magnitude of the reactions at B and E as well as the magnitude of W, given a point of contraflexure 3 m from A. (b) Draw the shear force and bending moment diagrams showing all relevant values. (c) Calculate the position of the other point of contraflexure. = 31 kN; W = 9,5 kN; V M = 46,5 kN.m, D; PCF 1,49 m from [R, = 52,5 kN; R = 32,5 kM max %3D 20 contil
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