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2. (32 pts) Two identical 20 mm thick plates are bolted to the top and bottom...
2. AT-beam with dimensions b 175 mm, t 14 mm, h -250 mm, and hi =...
2. AT-beam with dimensions b 175 mm, t 14 mm, h -250 mm, and hi = 230 mm is subjected to a shear force V= 84 kN. For this problem, assume the cross-section can be discretized into two rectangles (the web and the flange (a) Determine the moment of inertia of the cross section about the (b) Determine the shear stress at the neutral axis, TNA (c) Determine the shear stress at the interface of the web and the flange,...
4) 20 Marks A builder strengthens a 150 mmx 250 mm timber beam by connecting three...
4) 20 Marks A builder strengthens a 150 mmx 250 mm timber beam by connecting three 10 mm thick steel plates to the top and the two sides of the beam as shown below (there is no steel plate on the bottom). The beam acts compositely. It should be assumed that Eimber 10000 MPa and Esteel 200000 MPa and the materials exhibit linear elastic behaviour. The beam has a total length of 5 m. Steel has a density of 7800...
Name Section: Problem 2 A beam is fabricated with two 10 in by 'in Ao stcel...
Name Section: Problem 2 A beam is fabricated with two 10 in by 'in Ao stcel plates that are bolted together. Neglect Determine the required bolt spacing for beam, to the nearest " if each bolt can support 427 Ibs. Determine the maximum shear stress in the beam. the angles that are welded to the web for cross-section calculations. 10in Determine the maximum normal stress in the beam. h in 2,000 lbs 10in in 16 ft.
Figure 2a shows a composite beam made by placing three steel plates inside a wooden section....
Figure 2a shows a composite beam made by placing three
steel plates inside a wooden
section.
(a) Determine the maximum bending stress developed in the wooden
section and steel plate
if the beam is subjected to allowable bending moment, M of 20 kN.m.
Given that the
Modulus of Elasticity of wood is 13.1 GPa and steel is 200
GPa.
[14 Marks]
Figure 2a: Composite beam
(b) Figure 2b shows another beam without steel plates. Suggest the
maximum bending
stress for...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19 kN 10 kN/m T 2 mm mm A4n - 3 m +3m → a. Draw the shear force and bending moment diagram. 2 mm Section X-X b. For the cross section x-x given, calculate the maximum tensile and compressive bending stress c. For the cross section X-X given, calculate the maximum shear stress
20 KN 3 kN/m 3 2 KN- y, 2 kN-m 12.5 mm 200 mm? Z B...
20 KN 3 kN/m 3 2 KN- y, 2 kN-m 12.5 mm 200 mm? Z B 150 mm 121.43 mm 1.5 m 1.5 m 2.2 m 12.5 mm Part [1] (a.) Construct shear and bending moment diagrams. Show all work. Label completely. (b.) Determine the maximum value of the transverse shear force (in magnitude) and where it occurs. 'Box' answers. (c.) Determine the maximum values of the bending moment (both positive and negative) and where each occurs. 'Box' answers. Part...
A W410 × 60 steel beam (see Appendix B) is simply supported at its ends and carries a concentrate...
A W410 × 60 steel beam (see
Appendix B) is simply supported at its ends and carries a
concentrated load of P = 300 kN at the center of a 6.0-m
span. The W410 × 60 shape will be strengthened by adding two cover
plates of width b = 250 mm and thickness t = 16
mm to its flanges, as shown. Each cover plate is attached to its
flange by pairs of bolts spaced at intervals of s =...
A column with a wide-flange section has a flange width b = 400 mm , height...
A column with a wide-flange section has a flange width
b = 400 mm , height h = 400 mm , web thickness
tw = 13 mm , and flange thickness
tf = 21 mm (Figure 1). Calculate the stresses at
a point 65 mm above the neutral axis if the section supports a
tensile normal force N = 3 kN at the centroid, shear force
V = 7.4 kN , and bending moment M = 4 kN⋅m as
shown...
What stresses would you need to calculate in order to develop the 2D state of stress for point B on the cross section of the pipe assembly 400 mm al 200 mm 1500 N 1000 N 20 mm Section a-a a. Normal s...
What stresses would you need to calculate in order to develop the 2D state of stress for point B on the cross section of the pipe assembly 400 mm al 200 mm 1500 N 1000 N 20 mm Section a-a a. Normal stress due to normal force, normal stress due to bending moment b. Shear stress due to shear force, normal stress due to normal force, normal stress due to bending moment due to normal force, normal stress due to...
If the beam is subjected to a positive bending moment of M = 100 kN-m, determine...
If the beam is subjected to a positive bending moment of M = 100 kN-m, determine the maximum and minimum bending stress. Also determine the shear stress at point, A which is 50 mm above from the bottom. The cross-section of the beam is I-shaped and shown in the figure. 300 mm 30 mm 300 mm . 50 mm 30 mm
2. AT-beam with dimensions b 175 mm, t 14 mm, h -250 mm, and hi = 230 mm is subjected to a shear force V= 84 kN. For this problem, assume the cross-section can be discretized into two rectangles (the web and the flange (a) Determine the moment of inertia of the cross section about the (b) Determine the shear stress at the neutral axis, TNA (c) Determine the shear stress at the interface of the web and the flange,...
4) 20 Marks A builder strengthens a 150 mmx 250 mm timber beam by connecting three 10 mm thick steel plates to the top and the two sides of the beam as shown below (there is no steel plate on the bottom). The beam acts compositely. It should be assumed that Eimber 10000 MPa and Esteel 200000 MPa and the materials exhibit linear elastic behaviour. The beam has a total length of 5 m. Steel has a density of 7800...
Name Section: Problem 2 A beam is fabricated with two 10 in by 'in Ao stcel plates that are bolted together. Neglect Determine the required bolt spacing for beam, to the nearest " if each bolt can support 427 Ibs. Determine the maximum shear stress in the beam. the angles that are welded to the web for cross-section calculations. 10in Determine the maximum normal stress in the beam. h in 2,000 lbs 10in in 16 ft.
Figure 2a shows a composite beam made by placing three
steel plates inside a wooden
section.
(a) Determine the maximum bending stress developed in the wooden
section and steel plate
if the beam is subjected to allowable bending moment, M of 20 kN.m.
Given that the
Modulus of Elasticity of wood is 13.1 GPa and steel is 200
GPa.
[14 Marks]
Figure 2a: Composite beam
(b) Figure 2b shows another beam without steel plates. Suggest the
maximum bending
stress for...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19 kN 10 kN/m T 2 mm mm A4n - 3 m +3m → a. Draw the shear force and bending moment diagram. 2 mm Section X-X b. For the cross section x-x given, calculate the maximum tensile and compressive bending stress c. For the cross section X-X given, calculate the maximum shear stress
20 KN 3 kN/m 3 2 KN- y, 2 kN-m 12.5 mm 200 mm? Z B 150 mm 121.43 mm 1.5 m 1.5 m 2.2 m 12.5 mm Part [1] (a.) Construct shear and bending moment diagrams. Show all work. Label completely. (b.) Determine the maximum value of the transverse shear force (in magnitude) and where it occurs. 'Box' answers. (c.) Determine the maximum values of the bending moment (both positive and negative) and where each occurs. 'Box' answers. Part...
A column with a wide-flange section has a flange width
b = 400 mm , height h = 400 mm , web thickness
tw = 13 mm , and flange thickness
tf = 21 mm (Figure 1). Calculate the stresses at
a point 65 mm above the neutral axis if the section supports a
tensile normal force N = 3 kN at the centroid, shear force
V = 7.4 kN , and bending moment M = 4 kN⋅m as
shown...
What stresses would you need to calculate in order to develop the 2D state of stress for point B on the cross section of the pipe assembly 400 mm al 200 mm 1500 N 1000 N 20 mm Section a-a a. Normal stress due to normal force, normal stress due to bending moment b. Shear stress due to shear force, normal stress due to normal force, normal stress due to bending moment due to normal force, normal stress due to...
If the beam is subjected to a positive bending moment of M = 100 kN-m, determine the maximum and minimum bending stress. Also determine the shear stress at point, A which is 50 mm above from the bottom. The cross-section of the beam is I-shaped and shown in the figure. 300 mm 30 mm 300 mm . 50 mm 30 mm
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