a. Determine the reaction forces.
b. Determine the location of neutral axis with the given geometry.
c. Determine the moment of inertia about the neutral axis.
d. Draw shear force diagram.
e. Draw bending moment diagram.
f. Determine the maximum positive and maximum negative shear forces and their locations.
g. Determine the maximum positive and maximum negative bending moments and their locations.
h. Determine the maximum tensile and compressive bending stresses associated with the maximum positive moment.
i. Determine the maximum tensile and compressive bending stresses associated with the maximum negative moment.
j. Determine the absolute maximum tensile stress in the beam and the location.
k. Determine the absolute maximum compressive stress in the beam and the location.
I. Determine the maximum shear stress associated with maximum positive shear force.
m. Determine the maximum shear stress associated with maximum negative shear force.
n. Determine the absolute maximum shear stress in the beam and the location.
o. Determine the normal stress and shear stress at point B specified at the cross section of the location with the maximum bending moment (absolute value).
p. Determine the principal stresses and their orientations of the question (15).
Homework Answers
6. Determine the maximum positive and maximum negative shear forces and their locations.
6. Determine the maximum positive and maximum negative shear forces and their locations. 7. Determine the maximum positive and maximum negative bending moments and their locations 8. Determine the maximum tensile and compressive bending stresses associated with the maximum positive moment 9. Determine the maximum tensile and compressive bending stresses associated with the maximum negative moment 10. Determine the absolute maximum tensile stress in the beam and the location. 11. Determine the absolute maximum compressive stress in the beam and the location 12. Determine the maximum...
a. Determine the maximum tensile and compressive bending stresses associated with the maximum positive moment. b. Determine the maximum tensile and compressive bending stresses associated with the ma...
a. Determine the maximum tensile and compressive bending
stresses associated with the maximum positive moment.b. Determine the maximum tensile and compressive bending
stresses associated with the maximum negative moment.c. Determine the absolute maximum tensile stress in the beam and
the location.d. Determine the absolute maximum compressive stress in the beam
and the location.e. Determine the maximum shear stress associated with maximum
positive shear force.f. Determine the maximum shear stress associated with maximum
negative shear force.g. Determine the absolute maximum shear...
12. Determine the maximum shear stress associated with maximumpositive shear force.13. Determine the maximum...
12. Determine the maximum shear stress associated with maximum
positive shear force.13. Determine the maximum shear stress associated with maximum
negative shear force.14. Determine the absolute maximum shear stress in the beam and
the location.15. Determine the normal stress and shear stress at point B
specified at the cross section of the location with the maximum
bending moment (absolute value).16. Determine the principal stresses and their orientations of
the question (15).**Please circle or box in answers as well as identify...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Ten...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Tensile and Compressive Stresses due to bending, state where on the beam these occur. For the mid-point between A and B, determine shear stress at neutral axis; 2" from the top of the flange; at the junction between web and flange and on the top of the flange for the cross-section. Plot of the bending stress and shear stress distribution diagram across the cross section of...
1. Set the origin of x axis at the left end of the beam. Use the method of singularity functions to determine the r...
1. Set the origin of x axis at the left end of the beam. Use the method of singularity functions to determine the reaction forces. Use inch as the unit for the x axis. 2. Draw shear-moment diagrams of the beam. 3. Indicate the locations (x location and indicate at the top or bottom surface) of the maximum tension and maximum compression due to bending. 4. Calculate the values of the maximum compressional and tensile stresses due to bending. Determine...
2013 Michael Swanbom 08 O Cross Section Dimensions 106 cm 25 cm 32 mm 33 mm Problem Statement A c...
2013 Michael Swanbom 08 O Cross Section Dimensions 106 cm 25 cm 32 mm 33 mm Problem Statement A cantilever beam has a cross-section shaped as a sector of a circle. It is supported at A and loaded with a concentrated load of F 870 N and a concentrated moment of M = 361 N*m. The dimensions of the beam are given in the table above. Find the normal stresses at points D, E, and G in the cross-section, at...
(a) Sketch the shear force and bending moment diagram for the beam shown. Indicate the values and locations of maximum shear and moment.
(a) Sketch the shear force and bending moment diagram for the beam shown. Indicate the values and locations of maximum shear and moment. (b) With the beam cross section shown, determine the maximum tensile stress, maximum compressive stress, and maximum transverse shear stress in the beam.
Problem 2 1. Set the origin of x axis at the left end of the beam. Use the method of singularity functions to deter...
Problem 2 1. Set the origin of x axis at the left end of the beam. Use the method of singularity functions to determine the reaction forces. Use inch as the unit for the x axis. 2. Draw shear-moment diagrams of the beam. 3. Indicate the locations (x location and indicate at the top or bottom surface) of the maximum tension and maximum compression due to ben ding. 4. Calculate the values of the maximum compressional and tensile stresses due...
1. Describe the state of pure bending (moment? shear? curvature?) 2. Draw the normal stress profile...
1. Describe the state of pure bending (moment? shear? curvature?) 2. Draw the normal stress profile (like fig 5-11) on a beam in (-) bending with a triangular cross-section Be sure to label the location of the neutral axis and where the max tensile and compressive stresses occur
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments. (a) Find the location x and the corresponding bending moment M at the one point between A and B at which the shear force equals zero. (b) Consider the entire beam and determine the maximum positive...
a. Determine the maximum tensile and compressive bending
stresses associated with the maximum positive moment.b. Determine the maximum tensile and compressive bending
stresses associated with the maximum negative moment.c. Determine the absolute maximum tensile stress in the beam and
the location.d. Determine the absolute maximum compressive stress in the beam
and the location.e. Determine the maximum shear stress associated with maximum
positive shear force.f. Determine the maximum shear stress associated with maximum
negative shear force.g. Determine the absolute maximum shear...
12. Determine the maximum shear stress associated with maximum
positive shear force.13. Determine the maximum shear stress associated with maximum
negative shear force.14. Determine the absolute maximum shear stress in the beam and
the location.15. Determine the normal stress and shear stress at point B
specified at the cross section of the location with the maximum
bending moment (absolute value).16. Determine the principal stresses and their orientations of
the question (15).**Please circle or box in answers as well as identify...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Tensile and Compressive Stresses due to bending, state where on the beam these occur. For the mid-point between A and B, determine shear stress at neutral axis; 2" from the top of the flange; at the junction between web and flange and on the top of the flange for the cross-section. Plot of the bending stress and shear stress distribution diagram across the cross section of...
1. Set the origin of x axis at the left end of the beam. Use the method of singularity functions to determine the reaction forces. Use inch as the unit for the x axis. 2. Draw shear-moment diagrams of the beam. 3. Indicate the locations (x location and indicate at the top or bottom surface) of the maximum tension and maximum compression due to bending. 4. Calculate the values of the maximum compressional and tensile stresses due to bending. Determine...
2013 Michael Swanbom 08 O Cross Section Dimensions 106 cm 25 cm 32 mm 33 mm Problem Statement A cantilever beam has a cross-section shaped as a sector of a circle. It is supported at A and loaded with a concentrated load of F 870 N and a concentrated moment of M = 361 N*m. The dimensions of the beam are given in the table above. Find the normal stresses at points D, E, and G in the cross-section, at...
Problem 2 1. Set the origin of x axis at the left end of the beam. Use the method of singularity functions to determine the reaction forces. Use inch as the unit for the x axis. 2. Draw shear-moment diagrams of the beam. 3. Indicate the locations (x location and indicate at the top or bottom surface) of the maximum tension and maximum compression due to ben ding. 4. Calculate the values of the maximum compressional and tensile stresses due...
1. Describe the state of pure bending (moment? shear? curvature?) 2. Draw the normal stress profile (like fig 5-11) on a beam in (-) bending with a triangular cross-section Be sure to label the location of the neutral axis and where the max tensile and compressive stresses occur
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments. (a) Find the location x and the corresponding bending moment M at the one point between A and B at which the shear force equals zero. (b) Consider the entire beam and determine the maximum positive...
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