Answer Happy

For the beam shown below, F = 50 kN and L= 8.5 m. a) Determine the reactions at the supports A, B and C assuming El is constant. Consider bending strain energy only. b) Determine the deformed shape, shear force, and bending moment diagrams of the beam. F A B th D Am L L 2L Part a) Task 1: How many reaction forces are there? 3 What is the degree of indeterminacy in this beam? 1 Submit part Answered
Part a) Task 2: Release the roller support at C Assuming Ra, Rp and Rc are all upward. Determine the vertical reaction at A in terms of the vertical reaction at C (Rc): RA= RC KN Determine the vertical reaction at B in terms of the vertical reaction at C (RC): R8 = + Rc kN Determine the horizontal reaction at B: Hg = kN O N/A
Part a) Task 3: Xi is for member AD (Make a cut between A and D, and use LH freebody). xz is for member DB (Make a cut between D and B, and use LH freebody). x3 is for member BC (Make a cut between B and C, and use RH freebody). ам Segment Origin/ Limits M (kNm) (assuming positive moment that deforms the freebody into a concave shape, fill in with actual values M aM arc ORC A/O- AD X1 + RC X1 X1 x12 + Rc x12 X2 + Rc D/O- + X2 + + DB + xz? + RC + RC X2 X2 Rc X2 + Rc xz? C/0- BC RC X3 X3 Rc x3?
Part a) Task 4: After integration is completed (fill in with actual values), The constant term in the numerator is The coefficent of Rc in the numerator is
Part a) Task 5: Fill in with absolute values Rc = KN RA= KN RB = KN
Part b) Task 1: Determine the deformed shape of the beam:
Part b) Task 2: Determine the shear force diagram of the beam:
Part b) Task 2 What is the maximum shear force in the beam (absolute value)? Ź KN Part b) Task 3: Determine the bending moment diagram of the beam: о
Part b) Task 3: What is the bending moment at D (absolute value)? kNm What is the bending moment at B (absolute value)? kNm What distance to the left of B does the contraflexure point occur? m