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Class Activity Consider an unreinforced concrete beam cross section with the dimensions (in inches) shown in...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 36 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d)...
The cross-section of a beam is shown below. The top rectanular piece of the cross-section is...
The cross-section of a beam is shown below. The top rectanular
piece of the cross-section is a steel section 6 inches wide by 8
inches deep. The dimensions of the member are shown below in the
table. The cross-section is loaded in bending by a moment about the
zz-axis. The allowable bending stress of the cross-section is 42
(ksi).
Determine:
a) the elastic centroid of the cross-section.
b) the yield moment.
c) the plastic centroid of the cross-section
d) the...
The cross-sectional dimensions of the beam shown in the figure are a = 4.8 in, b...
The cross-sectional dimensions of the beam shown in the figure are a = 4.8 in, b = 5.8 in, d = 4.5 in., and t = 0.30 in. The internal bending moment about the z centroidal axis is Mz-4.40 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. typ.) Answers (a) ƠmaxT- psi psi
The dimensions for the W 21x62 beam cross section (shown below) are in inches: tf =...
The
dimensions for the W 21x62 beam cross section (shown below) are in
inches: tf = .615, tw = .4, bf =
8.24, d = 21. What is the maximum transverse shear stress on the
beam cross section if the shear force acting on it is 5.2 kip?
Point E у tw 15 kips 1 bf Point F
The cross-sectional dimensions of the beam shown in the figure are a = 4.9 in., b...
The cross-sectional dimensions of the beam shown in the figure are a = 4.9 in., b = 6.4 in., d = 4.4 in., and t = 0.31 in. The internal bending moment about the z centroidal axis is My = -4.30 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. Answers: (a) Omax T = (6) Omax C =
P8.012 The cross-sectional dimensions of a beam are shown. The internal bending moment about the z...
P8.012 The cross-sectional dimensions of a beam are shown. The internal bending moment about the z centroidal axis is M-+3.96 kip-ft. Assume b-7.625 in., d-6.5 in. and t-0.25 in. Determine: (a) the maximum tension bending stress ?T in the beam. (b) the maximum compression bending stress ? c in the beam. ksi ksi.
The dimensions for the W 21x62 beam cross section (shown below) are in inches: tf =...
The dimensions for the W 21x62 beam cross section (shown below)
are in inches: tf = .615, tw = .4,
bf = 8.24, d = 21. What is the maximum transverse shear
stress on the beam cross section if the shear force acting on it is
5.2 kip?
0.706 ksi
0.25 ksi
0.365 ksi
1.023 ksi
Point E у tw 15 kips 1 bf Point F
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm....
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, B. Helpful hint: Remember to change the sign of your...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 36 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d)...
The cross-section of a beam is shown below. The top rectanular
piece of the cross-section is a steel section 6 inches wide by 8
inches deep. The dimensions of the member are shown below in the
table. The cross-section is loaded in bending by a moment about the
zz-axis. The allowable bending stress of the cross-section is 42
(ksi).
Determine:
a) the elastic centroid of the cross-section.
b) the yield moment.
c) the plastic centroid of the cross-section
d) the...
The cross-sectional dimensions of the beam shown in the figure are a = 4.8 in, b = 5.8 in, d = 4.5 in., and t = 0.30 in. The internal bending moment about the z centroidal axis is Mz-4.40 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. typ.) Answers (a) ƠmaxT- psi psi
The
dimensions for the W 21x62 beam cross section (shown below) are in
inches: tf = .615, tw = .4, bf =
8.24, d = 21. What is the maximum transverse shear stress on the
beam cross section if the shear force acting on it is 5.2 kip?
Point E у tw 15 kips 1 bf Point F
The cross-sectional dimensions of the beam shown in the figure are a = 4.9 in., b = 6.4 in., d = 4.4 in., and t = 0.31 in. The internal bending moment about the z centroidal axis is My = -4.30 kip-ft. Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum compression bending stress (a negative number) in the beam. Answers: (a) Omax T = (6) Omax C =
P8.012 The cross-sectional dimensions of a beam are shown. The internal bending moment about the z centroidal axis is M-+3.96 kip-ft. Assume b-7.625 in., d-6.5 in. and t-0.25 in. Determine: (a) the maximum tension bending stress ?T in the beam. (b) the maximum compression bending stress ? c in the beam. ksi ksi.
The dimensions for the W 21x62 beam cross section (shown below)
are in inches: tf = .615, tw = .4,
bf = 8.24, d = 21. What is the maximum transverse shear
stress on the beam cross section if the shear force acting on it is
5.2 kip?
0.706 ksi
0.25 ksi
0.365 ksi
1.023 ksi
Point E у tw 15 kips 1 bf Point F
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, B. Helpful hint: Remember to change the sign of your...
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