Homework Answers
Answer:
Given that,
b = 190 mm
d = 65 mm
t = 3 mm
Bending stress = 10 MPa
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P8.008 The dimensions of the double-box beam cross section shown in the figure are b =...
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
A beam with cross-section as shown in Figure 2(a) is made of an elasto-plastic material. The...
A beam with cross-section as shown in Figure 2(a) is made of an
elasto-plastic material. The stressstrain relationship of the
material is as shown in Figure 2(b): (a) A bending moment is
applied to this section and increased until the entire top flange
yielded. Calculate the magnitude of the moment at this stage of
loading. (b) Determine the yield moment of the beam (c) Determine
the ultimate moment capacity of the beam (d) Determine the shape
factor of the beam...
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 =
The cross-sectional dimensions of the beam shown in the figure are a = 4.2 in., b = 4.7 in., d = 4.2 in., and t = 0.31 in. The internal bending moment about the z centroidal axis is Mz = -3.60 kip-ft....
The cross-sectional dimensions
of the beam shown in the figure are a = 4.2 in., b = 4.7 in., d =
4.2 in., and t = 0.31 in. The internal bending moment about the z
centroidal axis is Mz = -3.60 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) σmax T = psi (b) σmax C = psi
P8.012 The...
Incorrect The cross-sectional dimensions of the beam shown in the figure are a 4.4 in., b-5.4...
Incorrect The cross-sectional dimensions of the beam shown in the figure are a 4.4 in., b-5.4 in, d 5.0 in, and t 0.34 in. The internal bending moment about the z centroidal axis is M,--3.95 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.) CL CI Answers: (a) Omax T=T4355 psi (b) Ơmax C-T-2887 psi
The cross-sectional dimensions of the beam shown in the figure are r, = 107 mm and...
The cross-sectional dimensions of the beam shown in the figure are r, = 107 mm and ri = 89 mm. Given M, = 19 kN.m, a = 37° , and B = 49°, what are the bending stresses at points H and K? y H a r; *Part 1 Find the area moment of inertia for the cross-section about the z axis. 1, = *1 mm4 the tolerance is +/-4% *Part 2 Find the y coordinates of points H and...
4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a....
4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a. Sketch the internal shear force and bending moment diagrams for the beam. b. Calculate the maximum magnitude of the bending stress. Indicate where this occurs on the cross-section and along the length of the beam. c. Calculate the transverse shearing stress at the centroid of the cross-section using the maximum magnitude of the transverse shear force. - 200 mm 8 KN 1.5 kN/m 20...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed load over its entire 1.2m length. Specify the maximum allowable load if the beam is made from malleable iron, ASTM A220, class 80002. The allowable tensile stress is 164 MPa and allowable compressive stress is 412 MPa. The centroid of the section is located at 35 mm from the bottom and moment of inertia are Ix = 2.66 x 10 mm". (a) Draw loading...
The beam having a cross-section as shown is subjected to the distributed load w (1) Calculate...
The beam having a cross-section as shown is subjected to the distributed load w (1) Calculate the moment of inertia, I (2) If the allowable maximum normal stress ơmax-20 MPa, determine the largest distributed load 5. w. (3) If w 1.5 kN/m, determine the maximum bending stress in the beam. Sketch the stress distribution acting over the cross-section. 100 mm 50mm 120 mm 3 m50 mm 3 m
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)...
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
A beam with cross-section as shown in Figure 2(a) is made of an
elasto-plastic material. The stressstrain relationship of the
material is as shown in Figure 2(b): (a) A bending moment is
applied to this section and increased until the entire top flange
yielded. Calculate the magnitude of the moment at this stage of
loading. (b) Determine the yield moment of the beam (c) Determine
the ultimate moment capacity of the beam (d) Determine the shape
factor of the beam...
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 =
The cross-sectional dimensions
of the beam shown in the figure are a = 4.2 in., b = 4.7 in., d =
4.2 in., and t = 0.31 in. The internal bending moment about the z
centroidal axis is Mz = -3.60 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) σmax T = psi (b) σmax C = psi
P8.012 The...
Incorrect The cross-sectional dimensions of the beam shown in the figure are a 4.4 in., b-5.4 in, d 5.0 in, and t 0.34 in. The internal bending moment about the z centroidal axis is M,--3.95 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.) CL CI Answers: (a) Omax T=T4355 psi (b) Ơmax C-T-2887 psi
The cross-sectional dimensions of the beam shown in the figure are r, = 107 mm and ri = 89 mm. Given M, = 19 kN.m, a = 37° , and B = 49°, what are the bending stresses at points H and K? y H a r; *Part 1 Find the area moment of inertia for the cross-section about the z axis. 1, = *1 mm4 the tolerance is +/-4% *Part 2 Find the y coordinates of points H and...
4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a. Sketch the internal shear force and bending moment diagrams for the beam. b. Calculate the maximum magnitude of the bending stress. Indicate where this occurs on the cross-section and along the length of the beam. c. Calculate the transverse shearing stress at the centroid of the cross-section using the maximum magnitude of the transverse shear force. - 200 mm 8 KN 1.5 kN/m 20...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed load over its entire 1.2m length. Specify the maximum allowable load if the beam is made from malleable iron, ASTM A220, class 80002. The allowable tensile stress is 164 MPa and allowable compressive stress is 412 MPa. The centroid of the section is located at 35 mm from the bottom and moment of inertia are Ix = 2.66 x 10 mm". (a) Draw loading...
The beam having a cross-section as shown is subjected to the distributed load w (1) Calculate the moment of inertia, I (2) If the allowable maximum normal stress ơmax-20 MPa, determine the largest distributed load 5. w. (3) If w 1.5 kN/m, determine the maximum bending stress in the beam. Sketch the stress distribution acting over the cross-section. 100 mm 50mm 120 mm 3 m50 mm 3 m
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)...
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