A simply supported composite beam 12 ft. long is loaded by a force of 6 k as shown. The cross-section of the composite beam consists of a wood block reinforced on its top and bottom by steel channels. The wood block has a modulus of elasticity of 2000 ksi while the steel channel has a modulus of elasticity of 30000 ksi. The steel channel has the following dimensions.
|
Section |
Area (in2) |
Izz (in4) |
Centroid (in.) |
d (in.) |
tw (in) |
bf (in.) |
tf (in) |
| C7X14.7 | 4.33 | 1.37 | 0.532 | 7 | 0.419 | 2.30 | 0.366 |
Determine:
a) the maximum stress in the wood block.
b) the maximum stress in the steel channel.
The maximum stress in the wood block is ______ (ksi)
The maximum stress in the steel channel is ______ (ksi)
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A simply supported composite beam 12 ft. long is loaded by a
force of 6 k...
7 A simply supported composite beam 12 ft. long is loaded by a force of 6...
7 A simply supported composite beam 12 ft. long is loaded by a force of 6 k as shown. The cross-section of the composite beam consists of a wood block reinforced on its top and bottom by steel channels. The wood block has a modulus of elasticity of 2000 ksi while the steel channel has a modulus of elasticity of 30000 ksi. The steel channel has the following dimensions. Section Area Izz Centroid d tw bf in2in in.) Kin.) (in)...
The steel beam has the cross section shown. The beam length is L = 24 ft,...
The steel beam has the cross section shown. The beam length is L = 24 ft, and the cross-sectional dimensions are d = 18.6 in., bf = 9.1 in., tf = 0.615 in., and tw 0.305 in. Calculate the maximum bending stress in the beam if wo = 7.5 kips/ft. у В Answer: omax ksi = the tolerance is +/-2%
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along th...
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along th...
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft...
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft over the entire span. The beam and cross section are shown below. Draw the shear and moment diagrams, find the neutral axis location, moment of inertia of the composite section, the maximum bending stress on the cross section. (40 points) 10" 2 k/ft 1-3" 30'-0"
A beam is loaded by a shear force V. The beam cross-section is shown below. The...
A beam is loaded by a shear force V. The beam cross-section is
shown below. The moment of inertia of the cross-section is 347.1
in4. The centroid of the cross-section is 6.25 inches
from the base. Determine:
a) the shear stress at point A.
b) the shear stress at point B.
c) the maximum shear stress in the cross-section.
V = 50 (kips)
The maximum shear stress at point A is _____(ksi)
The maximum shear stress at point B is...
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...
Required information A composite beam is made by attaching the timber and steel portions shown with...
Required information A composite beam is made by attaching the timber and steel portions shown with bolts of 12-mm diameter spaced longitudinally every 200 mm. The modulus of elasticity is 10 GPa for the wood and 200 GPa for the steel. The vertical shear is 4.2 KN - 150 mm 12 mm 12 mm Determine the shearing stress at the center of the cross section (Round the final answers to two decimal places.) (Hint: Both Q and are computed by...
4. Determine the maximum uniform distributed load w0 that can be supported by the wood beam...
4. Determine the maximum uniform distributed load w0 that can be supported by the wood beam reinforced by the steel channel if the allowable of stress for the steel is 1.4 ksi and the allowable stress for the wood is 77 psi. Esi = 29(10) ksi, Ew = 1600 ksi. wo 4 in. Hos in 8 ft 8 ft 15 in. M = 850 lb-ft 0.5 in. 0.5 in.
A simply supported beam has a cross-section that is formed using of Steel and Aluminum as...
A simply supported beam has a cross-section that is formed using of Steel and Aluminum as shown. Find the normal stress at point "b" at the point of maximum moment for the loading shown. All the dimensions are in inches. 50 lb/in 240 Steel Es=29000 ksi Aluminum EA-10000 ksi 4 1
7 A simply supported composite beam 12 ft. long is loaded by a force of 6 k as shown. The cross-section of the composite beam consists of a wood block reinforced on its top and bottom by steel channels. The wood block has a modulus of elasticity of 2000 ksi while the steel channel has a modulus of elasticity of 30000 ksi. The steel channel has the following dimensions. Section Area Izz Centroid d tw bf in2in in.) Kin.) (in)...
The steel beam has the cross section shown. The beam length is L = 24 ft, and the cross-sectional dimensions are d = 18.6 in., bf = 9.1 in., tf = 0.615 in., and tw 0.305 in. Calculate the maximum bending stress in the beam if wo = 7.5 kips/ft. у В Answer: omax ksi = the tolerance is +/-2%
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft over the entire span. The beam and cross section are shown below. Draw the shear and moment diagrams, find the neutral axis location, moment of inertia of the composite section, the maximum bending stress on the cross section. (40 points) 10" 2 k/ft 1-3" 30'-0"
A beam is loaded by a shear force V. The beam cross-section is
shown below. The moment of inertia of the cross-section is 347.1
in4. The centroid of the cross-section is 6.25 inches
from the base. Determine:
a) the shear stress at point A.
b) the shear stress at point B.
c) the maximum shear stress in the cross-section.
V = 50 (kips)
The maximum shear stress at point A is _____(ksi)
The maximum shear stress at point B is...
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...
Required information A composite beam is made by attaching the timber and steel portions shown with bolts of 12-mm diameter spaced longitudinally every 200 mm. The modulus of elasticity is 10 GPa for the wood and 200 GPa for the steel. The vertical shear is 4.2 KN - 150 mm 12 mm 12 mm Determine the shearing stress at the center of the cross section (Round the final answers to two decimal places.) (Hint: Both Q and are computed by...
4. Determine the maximum uniform distributed load w0 that can be supported by the wood beam reinforced by the steel channel if the allowable of stress for the steel is 1.4 ksi and the allowable stress for the wood is 77 psi. Esi = 29(10) ksi, Ew = 1600 ksi. wo 4 in. Hos in 8 ft 8 ft 15 in. M = 850 lb-ft 0.5 in. 0.5 in.
A simply supported beam has a cross-section that is formed using of Steel and Aluminum as shown. Find the normal stress at point "b" at the point of maximum moment for the loading shown. All the dimensions are in inches. 50 lb/in 240 Steel Es=29000 ksi Aluminum EA-10000 ksi 4 1
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