The beam is loaded by one couple at each of its ends, the beam cross-section shown below (Figure QB4). Determine: a) The position of the horizontal neutral axis. b) The second moment of area of the section about the horizontal neutral axis. c) The values of the maximum tensile stress and the maximum compressive stress in the beam if it supports a maximum bending moment of 1200×10°N.mm and the base face is in tension. 150mm 50mm 250mm 50mm I 50mm

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
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QA4- KINETICS: TRANSLATION USING NEWTON'S SECOND LAW
A fairground ride consists of a vertical rotating cylinder within which the public are held against the
vertical wall by centrifugal action (see figure QA4 below). Draw a free-body diagram for a passenger
held against the wall. Write the appropriate equations of either motion or equilibrium in the vertical
and horizontal directions. If the coefficient of friction between the wall and a passenger is u,
determine an expression for the minimum angular velocity of the cylinder which will prevent a
* passenger from sliding down the wall.
Hint: Do not use D'Alembert's method - in other words, only show the real forces acting on the
passenger (i.e. due to gravity or physical contact). When the passenger is on the brink of sliding
down, the friction force will be uN.
Transcribed Image Text:QA4- KINETICS: TRANSLATION USING NEWTON'S SECOND LAW A fairground ride consists of a vertical rotating cylinder within which the public are held against the vertical wall by centrifugal action (see figure QA4 below). Draw a free-body diagram for a passenger held against the wall. Write the appropriate equations of either motion or equilibrium in the vertical and horizontal directions. If the coefficient of friction between the wall and a passenger is u, determine an expression for the minimum angular velocity of the cylinder which will prevent a * passenger from sliding down the wall. Hint: Do not use D'Alembert's method - in other words, only show the real forces acting on the passenger (i.e. due to gravity or physical contact). When the passenger is on the brink of sliding down, the friction force will be uN.
QB4 BENDING STRESS
The beam is loaded by one couple at each of its ends, the beam cross-section shown below
(Figure QB4). Determine:
a) The position of the horizontal neutral axis.
b) The second moment of area of the section about the horizontal neutral axis.
c) The values of the maximum tensile stress and the maximum compressive stress in the
beam if it supports a maximum bending moment of 1200x10 N.mm and the base face is
in tension.
150mm
50mm
250mm
+50mm
I
50mm
150mm
Fig QB4
Transcribed Image Text:QB4 BENDING STRESS The beam is loaded by one couple at each of its ends, the beam cross-section shown below (Figure QB4). Determine: a) The position of the horizontal neutral axis. b) The second moment of area of the section about the horizontal neutral axis. c) The values of the maximum tensile stress and the maximum compressive stress in the beam if it supports a maximum bending moment of 1200x10 N.mm and the base face is in tension. 150mm 50mm 250mm +50mm I 50mm 150mm Fig QB4
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