13. If the beam is subjected to a bending moment of M = 50 kN. m, determine the maximum bendir stress in the beam.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3m 3 m -2 m2 m-
13. If the beam is subjected to a bending moment of M = 50 kN. m, determine the maximum bending
stress in the beam.
200 mm
20 mm
300 m
M.
20 mm
20 mm
14. A steel beam with overhanging ends and wide-flange cross section is supported as shown in the
figure. The beam carries a uniform load of intensity q = 115 kN/m on each overhang. Assuming
that the section modulus of the cross- sectional area is S = 6.78 X 10° mm', determine the
maximum bending stress omax in the beam due to the load q. also find the maxim deflection
-115 KN/m
q-115 kN/m
3m
-6 m
15. A simple beam AB with span length L = 3.5 m carries a uniform load of intensity q= 6.4 kN/m
(see figure). Calculate the maximum bending stress omax due to the load q if the beam has a
rectangular cross section with width b = 140 mm and height h = 240 mm. also find the maximum
deflection
16. The beam is made from three boards nailed together as shown. If the moment acting on the cross
section is M = 600 N. m, determine the resultant force the bending stress produces on the top
board.
25 mm
150 mm
-20 mm
200 mm M=XI N-m
20 mm
17. An element in plane stress is subjected to stresses o, = 50 MPa, ay= 30 MPa, and Tyy= 20 MPa,
as shown in the figure. Determine the stresses acting on an element oriented at an angle 0= 50°
from the x axis. Also find the principal plane and principal stresses Solve with Both graphical and
mathematical techniques
30 MPs
-50 MPs
-20 MP
18. At a particular point in a machine the material is in biaxial stress with (ox = 14 MPa and (oy =-
56 MPa (see figure). What is the orientation of an inclined plane through the point such that the
normal stress on the plane is zero? Sketch a stress element having that plane as one of its sides
and show all stresses acting on the element.
56 MPs
14 MP
Transcribed Image Text:3m 3 m -2 m2 m- 13. If the beam is subjected to a bending moment of M = 50 kN. m, determine the maximum bending stress in the beam. 200 mm 20 mm 300 m M. 20 mm 20 mm 14. A steel beam with overhanging ends and wide-flange cross section is supported as shown in the figure. The beam carries a uniform load of intensity q = 115 kN/m on each overhang. Assuming that the section modulus of the cross- sectional area is S = 6.78 X 10° mm', determine the maximum bending stress omax in the beam due to the load q. also find the maxim deflection -115 KN/m q-115 kN/m 3m -6 m 15. A simple beam AB with span length L = 3.5 m carries a uniform load of intensity q= 6.4 kN/m (see figure). Calculate the maximum bending stress omax due to the load q if the beam has a rectangular cross section with width b = 140 mm and height h = 240 mm. also find the maximum deflection 16. The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N. m, determine the resultant force the bending stress produces on the top board. 25 mm 150 mm -20 mm 200 mm M=XI N-m 20 mm 17. An element in plane stress is subjected to stresses o, = 50 MPa, ay= 30 MPa, and Tyy= 20 MPa, as shown in the figure. Determine the stresses acting on an element oriented at an angle 0= 50° from the x axis. Also find the principal plane and principal stresses Solve with Both graphical and mathematical techniques 30 MPs -50 MPs -20 MP 18. At a particular point in a machine the material is in biaxial stress with (ox = 14 MPa and (oy =- 56 MPa (see figure). What is the orientation of an inclined plane through the point such that the normal stress on the plane is zero? Sketch a stress element having that plane as one of its sides and show all stresses acting on the element. 56 MPs 14 MP
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