Force and Torsional Shear Stress
CE 270 - Final Exam
Problem No. 1. (20 points)
A rectangular cross-section that is 50 mm wide and 250 mm deep is subjected to shear force of 22 kN, axial force (tension) of 16.5 kN and bending moment of 33 kN-m. Calculate and show the stress diagrams in the cross-section. What is the maximum normal stress, and where does it occur. What is the maximum shear stress and where does it occur.
Problem No. 2 (20 points)
Determine the principal stress, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case. Use the Mohr circle approach.
Problem No. 3. (20 points)
Determine the deflection at midspan of the simply supported beam, E = 200 GPa, I = 39.9 (10-6) m4. What is the location of the maximum deflection?
Problem No. 4. (20 points)
Determine the elastic buckling strength of a wood column with length equal to 10 ft. The elastic modulus of the material is 1600 ksi. The column cross-section is rectangular with dimensions equal to 2 x 4 in. Assume that the column ends are pinned. How much will the column strength change if the top end of the column is changed from pin to fixed.
CE 270 EXAM NO. 2 (Duration = 100 minutes).
Materials allowed: Calculator. One 8.5 x 11 sheet of paper with notes written on one side to help with equations / formulas etc.
Problem No. 1 (20 points)
Two wrenches are used to tighten the pipe. If P = 300N is applied to each wrench, determine the maximum torsional shear stress developed within the region BC. The pipe has an outer diameter of 25 mm and inner diameter of 20 mm. Sketch the shear stress distribution
Problem No. 2. (20 points)
Sketch the shear force and bending moment diagrams for the following problem.
Problem No. 3. (30 points)
Calculate the the location of the elastic neutral axis, and the stress in the bottom steel plate for a moment of 500 kip-ft. Assume that the
Problem No. 1. (20 points)
A rectangular cross-section that is 50 mm wide and 250 mm deep is subjected to shear force of 22 kN, axial force (tension) of 16.5 kN and bending moment of 33 kN-m. Calculate and show the stress diagrams in the cross-section. What is the maximum normal stress, and where does it occur. What is the maximum shear stress and where does it occur.
Problem No. 2 (20 points)
Determine the principal stress, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case. Use the Mohr circle approach.
Problem No. 3. (20 points)
Determine the deflection at midspan of the simply supported beam, E = 200 GPa, I = 39.9 (10-6) m4. What is the location of the maximum deflection?
Problem No. 4. (20 points)
Determine the elastic buckling strength of a wood column with length equal to 10 ft. The elastic modulus of the material is 1600 ksi. The column cross-section is rectangular with dimensions equal to 2 x 4 in. Assume that the column ends are pinned. How much will the column strength change if the top end of the column is changed from pin to fixed.
CE 270 EXAM NO. 2 (Duration = 100 minutes).
Materials allowed: Calculator. One 8.5 x 11 sheet of paper with notes written on one side to help with equations / formulas etc.
Problem No. 1 (20 points)
Two wrenches are used to tighten the pipe. If P = 300N is applied to each wrench, determine the maximum torsional shear stress developed within the region BC. The pipe has an outer diameter of 25 mm and inner diameter of 20 mm. Sketch the shear stress distribution
Problem No. 2. (20 points)
Sketch the shear force and bending moment diagrams for the following problem.
Problem No. 3. (30 points)
Calculate the the location of the elastic neutral axis, and the stress in the bottom steel plate for a moment of 500 kip-ft. Assume that the