Question

1) Determine the reactions at the supports for the structures shown. The support at A is a Roller and the support at B is a Pin. 2.0 k/ft M 10 k- 3.0 k/ft 12 ft 25 k- 25k-Pokift 15 ft B! 1 F20ft- 2) 2 3 k/ft A beam is supported at points A, C, and E, and is loaded as shown. The support at A is fixed. The supports at C and E are rollers. Hinge-B ce Dl Hinge Joints B and D are hinges. _| 15 -35 ft — 15 L 35f- ft ft a. Determine the reactions at the supports A, C, and E. b. Draw the shear force diagram and the bending moment diagram from A to E. c. Determine the largest magnitude shear force and largest magnitude moment. 20 kN 3) 40 kN/m Draw the shear force diagram and bending moment diagram for Beam A-B-C, noting minimums, maximums, and transition points AC- B - 3m- 150 kN.m

Answer 1

Proo.t A is roller, so only westical foree veachion is indured, say Ray EMBE0 D Rayx20 = 2x20r?+ 3x20 - 1ox(1215)-25YIS 4 (RAy= 17.75 kips Efy=o D RAY t Rey=2x20+Sx2w=100 kips D (Rey = 82.25 ki ps A Efyco D Rox=10+25= 35s kips Rex -20'- RpM