Question

Q3

(25 pts) 3. For the cantilever beam shown below and to the left, Determine the reactions at the wall at C. Draw the shear (V) and moment (M) diagram for the beam and label the appropriate values. For the given cross section, determine the magnitude of the maximum COMPRESSIVE bending stress and state where this occurs along the length of the beam and along the height of the beam (top or bottom). Sketch the NORMAL stress distribution (profile) for the height of the beam at the critical section. a. b. c. d. 5 kips 120 kip-ft 5 kips/ft 2 kipsft 8? 1.0 in. 12 in. 0.5 in. 12 in. = 1 ft. 6 in. 16 in. -0.5 in. 1.0 in. 12 in. Let I,-40 in: Do not solve (40 pts) 4. For the simply supported beam shown above and to the right, a. Determine the reactions at A and B. b. Draw the shear (V) and moment (M) diagram and label the appropriate values. c. Determine the magnitude and location of the maximum TENSILE bending stress for the given cross section and identify where this occurs along the length and along the height of the beam. VQ/lt) for the given cross section and identify where this d. Determine the magnitude of the maximum shear stress ( occurs along the length and along the height of the beam.

Answer 1

2o kip-ft Mc ナレe 3 SFP -ve 3o KipS 3 Ve 120 kip-fit 210 Kip-R C30 KiP Mng

(eJ moment of ineti 4- 18o9.33 2 KiPIF Ras Re 13-S SFD ve 2S611201 RB R 23. Kip I RA 13-S

121 2