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The beam shown in the sketch, has a cross section as a channel
indicated to the...
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 6.38 An extruded beam has the cross section shown and a uniform wall thickness of...
PROBLEM 6.38 An extruded beam has the cross section shown and a uniform wall thickness of 5 mm. Knowing that a given vertical shear V causes a maximum shearing stress = 60MPa, 1) determine the shearing stress at the four points indicated 2) calculate the shearing stresses along of the horizontal lines shown and plot carefully the vertical distribution of shearing stresses in the cross-section. 15 mm) a 15 mm t6 d 15 mm 15 mm 15 mm 38 mm...
For the beam shown below, at each cross section of a-a, b-b and c-c, consider two...
For the beam shown below, at each cross section of a-a, b-b and
c-c, consider two points in the cross section at the middle and
bottom of the section (points A and B on the right figure). Note
a-a is a section very close to the left end of the beam. Sketch the
stress elements by showing normal and shear stresses and indicate
the coordinate system. Represent the stresses as functions of force
and dimensions.
2: (Total: 20 Points) For...
a. The beam of the cross section shown has f'c = 3000 psi and fy =...
a. The beam of the cross section shown has f'c = 3000 psi and fy = 60,000 psi. Calculate Mn. b. Same cross section as part (a) but the steel is changed to four No. 10 bars. Calculate Mn. Calculate the percent increase in Mn and As. c. Same cross section as part (a) but the depth d is increased to 28 in. Calculate Mn. Calculate the percent increase in Mn and d. d. Same cross section as part (a)...
A cantilever cast-iron beam is 6 ft long and has a “T” cross section, as shown....
A cantilever cast-iron beam is 6 ft long and has a “T” cross section, as shown. Calculate the maximum tensile and compressive bending stresses. The applied load is 450 lb. Neglect the weight of the beam. Show the diagram of both (Tensile and Bending stresses at the section area). 450 lb 60" (a) Load diagram (b) Section A-A
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam...
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam is 3m long, simply supported at either end and carries point loads as shown in FIGURE 2 (on page 4). 2. SAN 1OAN R, FR 100mm FIG.2 (a) Calculate the maximum bending moment (b) Calculate the maximum stress in the beam (c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are...
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...
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 the +x- 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, 8. Helpful hint: Remember to change the sign...
4B and the beam cross-section is shown in Figure Q3 (b) The yield stress of the...
4B and the beam cross-section is shown in Figure Q3 (b) The yield stress of the material is 250 MPs and the material behaves linearly elastic-perfectly plastic. Figure Q3 (a) shows an overhanging beam ABC subjected to a uniformly distributed load w along a) Sketch the bending moment dingram of the beam b) Calculate the magnitade of moment that causes a plastic hinge (fully plastic) in the cross section Find the magnitude of w during plastic hinge at the most...
Soild Mechanics Question 2: A beam having the cross-section shown in the drawing is loaded as...
Soild Mechanics
Question 2: A beam having the cross-section shown in the drawing is loaded as shown in figure (b). The values of the Section modulus for the beam are 1.74x106 and 0.74x106 mm3 What are the extreme fiber stresses at sections B and C 300 5 kN 2 kN/m B 4.0 4.0 3.0 50 (a) (b) O02
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 6.38 An extruded beam has the cross section shown and a uniform wall thickness of 5 mm. Knowing that a given vertical shear V causes a maximum shearing stress = 60MPa, 1) determine the shearing stress at the four points indicated 2) calculate the shearing stresses along of the horizontal lines shown and plot carefully the vertical distribution of shearing stresses in the cross-section. 15 mm) a 15 mm t6 d 15 mm 15 mm 15 mm 38 mm...
For the beam shown below, at each cross section of a-a, b-b and
c-c, consider two points in the cross section at the middle and
bottom of the section (points A and B on the right figure). Note
a-a is a section very close to the left end of the beam. Sketch the
stress elements by showing normal and shear stresses and indicate
the coordinate system. Represent the stresses as functions of force
and dimensions.
2: (Total: 20 Points) For...
a. The beam of the cross section shown has f'c = 3000 psi and fy = 60,000 psi. Calculate Mn. b. Same cross section as part (a) but the steel is changed to four No. 10 bars. Calculate Mn. Calculate the percent increase in Mn and As. c. Same cross section as part (a) but the depth d is increased to 28 in. Calculate Mn. Calculate the percent increase in Mn and d. d. Same cross section as part (a)...
A cantilever cast-iron beam is 6 ft long and has a “T” cross section, as shown. Calculate the maximum tensile and compressive bending stresses. The applied load is 450 lb. Neglect the weight of the beam. Show the diagram of both (Tensile and Bending stresses at the section area). 450 lb 60" (a) Load diagram (b) Section A-A
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam is 3m long, simply supported at either end and carries point loads as shown in FIGURE 2 (on page 4). 2. SAN 1OAN R, FR 100mm FIG.2 (a) Calculate the maximum bending moment (b) Calculate the maximum stress in the beam (c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are...
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...
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 the +x- 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, 8. Helpful hint: Remember to change the sign...
4B and the beam cross-section is shown in Figure Q3 (b) The yield stress of the material is 250 MPs and the material behaves linearly elastic-perfectly plastic. Figure Q3 (a) shows an overhanging beam ABC subjected to a uniformly distributed load w along a) Sketch the bending moment dingram of the beam b) Calculate the magnitade of moment that causes a plastic hinge (fully plastic) in the cross section Find the magnitude of w during plastic hinge at the most...
Soild Mechanics
Question 2: A beam having the cross-section shown in the drawing is loaded as shown in figure (b). The values of the Section modulus for the beam are 1.74x106 and 0.74x106 mm3 What are the extreme fiber stresses at sections B and C 300 5 kN 2 kN/m B 4.0 4.0 3.0 50 (a) (b) O02
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