10.12 A strip of steel 3 mm thick and 35 mm wide is bent round a cylindrical drum 4 m in diameter. Determine the maximum stress set up in the strip and the bending moment which has to be applied to bend the strip to this curvature (E = 200 GPa). [149,88 MPa; 7,87 N.m]
10.12 A strip of steel 3 mm thick and 35 mm wide is bent round a cylindrical drum 4 m in diameter. Determine the maximum stress set up in the strip and the bending moment which has to be applied to bend the strip to this curvature (E = 200 GPa). [149,88 MPa; 7,87 N.m]
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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What is the solution for problem in the pictures I have uploaded
![10.12 A strip of steel 3 mm thick and 35 mm wide is bent round a cylindrical drum
4 m in diameter. Determine the maximum stress set up in the strip and the
bending moment which has to be applied to bend the strip to this curvature
(E = 200 GPa).
%3D
[149,88 MPa; 7,87 N.m]
10.13 A metal pipe with an outside diameter of 75 mm and an inside diameter of
65 mm is simply supported over a span of I metres and subjected to an axial
pull of W kN, Determine the value of l and W given that the top edge of the
pipe must have zero stress at the section where the maximum stress at the
bottom edge is 75 MPa. The density of the pipe material is 7,8 Mg/m2.
[8,022 m; 41,23 kN]
10.14 A water channel is made of sheet metal 3 mm thick, It has outside measure-
ments of 400 mm wide and 200 mm deep. Calculate the maximum allowable
depth of water in the channel if it is simply supported over a span of 7 m.
The maximum allowable bending stress is not to exceed 35 MPa. Neglect the
(97 mm
mass of the channel. The density of water is 1 000 kg/m'.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff93e596d-b410-4533-a218-938d6278bc6a%2F8b090ffe-2861-415d-9bf7-382e2ae12741%2Fn3v4dnk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10.12 A strip of steel 3 mm thick and 35 mm wide is bent round a cylindrical drum
4 m in diameter. Determine the maximum stress set up in the strip and the
bending moment which has to be applied to bend the strip to this curvature
(E = 200 GPa).
%3D
[149,88 MPa; 7,87 N.m]
10.13 A metal pipe with an outside diameter of 75 mm and an inside diameter of
65 mm is simply supported over a span of I metres and subjected to an axial
pull of W kN, Determine the value of l and W given that the top edge of the
pipe must have zero stress at the section where the maximum stress at the
bottom edge is 75 MPa. The density of the pipe material is 7,8 Mg/m2.
[8,022 m; 41,23 kN]
10.14 A water channel is made of sheet metal 3 mm thick, It has outside measure-
ments of 400 mm wide and 200 mm deep. Calculate the maximum allowable
depth of water in the channel if it is simply supported over a span of 7 m.
The maximum allowable bending stress is not to exceed 35 MPa. Neglect the
(97 mm
mass of the channel. The density of water is 1 000 kg/m'.
![parallel flange
147,4 MPa]
10.8 A timber beam, 150 mm wide and 300 mm deep, has an effective span of
4,8 m. The density of the timber is 490 kg/m'. Calculate the point load the
beam can carry at the centre of its span if the stress in the timber is not to
exceed 4,1 MPa. The mass of the beam must be taken into consideration.
[7,16 kN]
10.9 An I profile taper flange, 178 mm × 102 mm, is to be supported at the ends.
Find the magnitude of the distributed load per metre length which the beam
can carry if the span and bending stress are not to exceed 5 m and 75 MPa
respectively. Take the mass of the beam into consideration.
[3,867 kN/m]
10.10 A beam has a rectangular section 40 mm wide and 120 mm deep and a span
of 1 m. The beam is simply supported, carries a concentrated load of 10 kN at
midspan and is subjected to an axial compressive force of 50 kN applied on
the centroid of the cross-section. Calculate the maximum resultant stress in
the beam and plot the stress distribution diagram for this section.
[36,46 MPa (C); 15,62 MPa (T)1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff93e596d-b410-4533-a218-938d6278bc6a%2F8b090ffe-2861-415d-9bf7-382e2ae12741%2Fz5hyqot_processed.jpeg&w=3840&q=75)
Transcribed Image Text:parallel flange
147,4 MPa]
10.8 A timber beam, 150 mm wide and 300 mm deep, has an effective span of
4,8 m. The density of the timber is 490 kg/m'. Calculate the point load the
beam can carry at the centre of its span if the stress in the timber is not to
exceed 4,1 MPa. The mass of the beam must be taken into consideration.
[7,16 kN]
10.9 An I profile taper flange, 178 mm × 102 mm, is to be supported at the ends.
Find the magnitude of the distributed load per metre length which the beam
can carry if the span and bending stress are not to exceed 5 m and 75 MPa
respectively. Take the mass of the beam into consideration.
[3,867 kN/m]
10.10 A beam has a rectangular section 40 mm wide and 120 mm deep and a span
of 1 m. The beam is simply supported, carries a concentrated load of 10 kN at
midspan and is subjected to an axial compressive force of 50 kN applied on
the centroid of the cross-section. Calculate the maximum resultant stress in
the beam and plot the stress distribution diagram for this section.
[36,46 MPa (C); 15,62 MPa (T)1
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