A round rod consisting of two sections has a diameter of 60 mm in the first and 40 mm in the second section, see sketch. The left end of the first section is fastened to the wall. A line load q₁ acts in z-direction on this first section. At the end of the second section, there is a crank arm. A second line load q2 acts on this arm, also in z-direction. (Neglect the weight of the part, do not take into account the wall thickness or possible deformation of the crank arm, neglect stress superelevations at rapidly changing cross sections). y x 60 1/2 Loads: q₁ = 4000 N/m q2 = 2000 N/m Geometry: L = 2000 mm, a = 400 mm 40 91 L/2 92

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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Explain why on the interval 0<x<1000 mm and 1000<x<2000mm, Mt is equal to positive 160 Nm, but at x= 0mm and x=1000mm Mt is equal to -160 Nm (negative value!). What is the reason for the sign change of Mt?

A round rod consisting of two sections has a diameter of 60 mm in the first and 40 mm in the
second section, see sketch.
The left end of the first section is fastened to the wall. A line load q₁ acts in z-direction on this
first section. At the end of the second section, there is a crank arm. A second line load q2 acts on
this arm, also in z-direction. (Neglect the weight of the part, do not take into account the wall
thickness or possible deformation of the crank arm, neglect stress superelevations at rapidly
changing cross sections).
y
x
60
1/2
Loads:
q₁ = 4000 N/m
q2 = 2000 N/m
Geometry:
L = 2000 mm, a = 400 mm
40
91
L/2
92
Transcribed Image Text:A round rod consisting of two sections has a diameter of 60 mm in the first and 40 mm in the second section, see sketch. The left end of the first section is fastened to the wall. A line load q₁ acts in z-direction on this first section. At the end of the second section, there is a crank arm. A second line load q2 acts on this arm, also in z-direction. (Neglect the weight of the part, do not take into account the wall thickness or possible deformation of the crank arm, neglect stress superelevations at rapidly changing cross sections). y x 60 1/2 Loads: q₁ = 4000 N/m q2 = 2000 N/m Geometry: L = 2000 mm, a = 400 mm 40 91 L/2 92
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