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Problem 2 For the area method to compute ratio (n) is equal to 8 beam cross...
Transformed-Area Method For Problems 2.8 to 2.14, assume the sections have cracked and use the transformed-area...
Transformed-Area Method For Problems 2.8 to 2.14, assume the sections have cracked and use the transformed-area method to compute their flexural stresses for the loads or moments given. Problem 2.13 (Ans. = 2369 psi, S, = 32,574 psi at the steel centroid, 36,255 psi in the bottom layer) 2 k/t (including beam weight) TIITTITTITITITZZZ 28 in. 32 in. 10 ft- -20 ft-
Cracking Moment (Uncracked Concrete Stage) Problem 1) Problem 2.6 (page 55, McCormac and Brown, gth Ed.)...
Cracking Moment (Uncracked Concrete Stage) Problem 1) Problem 2.6 (page 55, McCormac and Brown, gth Ed.) Note: Modify the total depth of the beam from 24" to 26" and the depth of the steel rebars from 21" to 23". Transformed Area Method (Concrete Cracked- Elastic Stresses Stage) Problem 2) Problem 2.13 (page 56, McCormac and Brown, 8th Ed.) Note: Make the following changes: Change fe to 5 ksi use the values and dimensions shown in the figure below 1) 2)...
Problem 3 (30 points) compute the cracked moment of inertia, Ic, of the beam shown below....
Problem 3 (30 points) compute the cracked moment of inertia, Ic, of the beam shown below. Assume normal weight concrete is utilized. Round your modular ratio, n, to the nearest whole number. fe' = 5 ksi fy = 75 ksi d = 18" h = 21" 3 #11 (As = 4.68 in) -b=14" -
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral a...
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral axis B. Compute the moment of inertia of the section around the neutral axis C. Locate the section of maximum moment then compute the maximum stress due to bending, fb D. Locate the section of maximum shear-compute the shear stress at the neutral axis 3.0 k 8" 1.5 k/ft 1.0 k/ft 2" 8 10 ft 6 ft 4 ft 2" Cross-Section
Problem 1...
A concrete beam is strengthened using two steel plates as shown in the cross section of...
A concrete beam is strengthened using two steel plates as shown in the cross section of the member. The beam has simple supports and an overhang and is subjected to a uniform load as shown. Assume that Ec=25 GPa and Es=200 GPa. 1. Determine the maximum moment carried in the member. 2. Determine the modular ratio, n. 3. Determine the centroid of the transformed section 4. Determine the maximums stresses in the concrete and the steel. 2 kN/m A- B...
Problem 1. Consider the beam cross sections shown in figures (a) and (b). If the material...
Problem 1. Consider the beam cross sections shown in figures (a) and (b). If the material comprising beams with these cross sections has allowable bending stress Allow = 25000 psi, either in tension or compression, determine the maximum bending moment each beam can carry. Assume elastic behavior. Take D=6 in. Problem 2. The beam shown has the cross-section indicated. Indicate the location along the beam where the maximum and minimum normal stresses occur in the beam. Determine the values of...
Problem 2 Determine the nominal moment capacity for the reinforced concrete beam shown. The beam ...
Problem 2 Determine the nominal moment capacity for the reinforced concrete beam shown. The beam cross section has a width 10 inch and a depth 20 inch. The beam is reinforced with a tension steel reinforcement of 3#8 with an area of steel # 2.37 inch Assume grade 60 steel with a yield strss, Fy 60 ksi d 20 3#8 2.37/ 2 As B-10"
Problem 2 Determine the nominal moment capacity for the reinforced concrete beam shown. The beam cross...
Name: Section: Problem 6 Three materials are used to make a composite beam with a rectangular...
Name: Section: Problem 6 Three materials are used to make a composite beam with a rectangular cross section. Select the transformed section if materials 1 and 3 are transformed into material 2. E, = 10 ksi, Ez = 20 ksi, Ez = 30 ksi Drawn to scale a) b) c) d) e) None of the above MI M2 M3 Problem 7 Determine the polar moment of inertia for the hollow tube. a) 2,789.7 in b) 44,635.7 in c) 25.1 in...
The beam is simply supported. Problem 3. (30 points) A wooden beam is composed of a...
The beam is simply supported.
Problem 3. (30 points) A wooden beam is composed of a 2 x8" (1.5"x7.25") top flange and a 3"x10 (2.5"x9.25") web to form a T section. Assume that the two members are glued together. L-16 ft. (a) For a uniform dead load of 20 lb/ft over the entire beam span and a uniform live load of 80 lb/ft over the left half of the span, draw the shear and moment diagrams. (b) Determine the cross-sectional...
23. For the concrete cantilever beam shown below (L=8 ft), draw the proper location and details for the flexural reinfo...
23. For the concrete cantilever beam shown below (L=8 ft), draw the proper location and details for the flexural reinforcement of area, As, on the elevation (including connection at support) and cross section. Assume that 3 #8's are used for flexural reinforcement with 2-leg #4 stirrups for shear (spaced at 6 in on center) and 1.5-in cover (over the stirrups). [2 PT] Concentrated load height, h-16 in width, b-12 in; f' 5000 psi Support Elevation Cross Section 24. [9 PT]...
Transformed-Area Method For Problems 2.8 to 2.14, assume the sections have cracked and use the transformed-area method to compute their flexural stresses for the loads or moments given. Problem 2.13 (Ans. = 2369 psi, S, = 32,574 psi at the steel centroid, 36,255 psi in the bottom layer) 2 k/t (including beam weight) TIITTITTITITITZZZ 28 in. 32 in. 10 ft- -20 ft-
Cracking Moment (Uncracked Concrete Stage) Problem 1) Problem 2.6 (page 55, McCormac and Brown, gth Ed.) Note: Modify the total depth of the beam from 24" to 26" and the depth of the steel rebars from 21" to 23". Transformed Area Method (Concrete Cracked- Elastic Stresses Stage) Problem 2) Problem 2.13 (page 56, McCormac and Brown, 8th Ed.) Note: Make the following changes: Change fe to 5 ksi use the values and dimensions shown in the figure below 1) 2)...
Problem 3 (30 points) compute the cracked moment of inertia, Ic, of the beam shown below. Assume normal weight concrete is utilized. Round your modular ratio, n, to the nearest whole number. fe' = 5 ksi fy = 75 ksi d = 18" h = 21" 3 #11 (As = 4.68 in) -b=14" -
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral axis B. Compute the moment of inertia of the section around the neutral axis C. Locate the section of maximum moment then compute the maximum stress due to bending, fb D. Locate the section of maximum shear-compute the shear stress at the neutral axis 3.0 k 8" 1.5 k/ft 1.0 k/ft 2" 8 10 ft 6 ft 4 ft 2" Cross-Section
Problem 1...
A concrete beam is strengthened using two steel plates as shown in the cross section of the member. The beam has simple supports and an overhang and is subjected to a uniform load as shown. Assume that Ec=25 GPa and Es=200 GPa. 1. Determine the maximum moment carried in the member. 2. Determine the modular ratio, n. 3. Determine the centroid of the transformed section 4. Determine the maximums stresses in the concrete and the steel. 2 kN/m A- B...
Problem 1. Consider the beam cross sections shown in figures (a) and (b). If the material comprising beams with these cross sections has allowable bending stress Allow = 25000 psi, either in tension or compression, determine the maximum bending moment each beam can carry. Assume elastic behavior. Take D=6 in. Problem 2. The beam shown has the cross-section indicated. Indicate the location along the beam where the maximum and minimum normal stresses occur in the beam. Determine the values of...
Problem 2 Determine the nominal moment capacity for the reinforced concrete beam shown. The beam cross section has a width 10 inch and a depth 20 inch. The beam is reinforced with a tension steel reinforcement of 3#8 with an area of steel # 2.37 inch Assume grade 60 steel with a yield strss, Fy 60 ksi d 20 3#8 2.37/ 2 As B-10"
Problem 2 Determine the nominal moment capacity for the reinforced concrete beam shown. The beam cross...
Name: Section: Problem 6 Three materials are used to make a composite beam with a rectangular cross section. Select the transformed section if materials 1 and 3 are transformed into material 2. E, = 10 ksi, Ez = 20 ksi, Ez = 30 ksi Drawn to scale a) b) c) d) e) None of the above MI M2 M3 Problem 7 Determine the polar moment of inertia for the hollow tube. a) 2,789.7 in b) 44,635.7 in c) 25.1 in...
The beam is simply supported.
Problem 3. (30 points) A wooden beam is composed of a 2 x8" (1.5"x7.25") top flange and a 3"x10 (2.5"x9.25") web to form a T section. Assume that the two members are glued together. L-16 ft. (a) For a uniform dead load of 20 lb/ft over the entire beam span and a uniform live load of 80 lb/ft over the left half of the span, draw the shear and moment diagrams. (b) Determine the cross-sectional...
23. For the concrete cantilever beam shown below (L=8 ft), draw the proper location and details for the flexural reinforcement of area, As, on the elevation (including connection at support) and cross section. Assume that 3 #8's are used for flexural reinforcement with 2-leg #4 stirrups for shear (spaced at 6 in on center) and 1.5-in cover (over the stirrups). [2 PT] Concentrated load height, h-16 in width, b-12 in; f' 5000 psi Support Elevation Cross Section 24. [9 PT]...
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