tutoriel4 for gng1505, Slides of Introduction to Macroeconomics

Download tutoriel4 for gng1505 and more Slides Introduction to Macroeconomics in PDF only on Docsity!

1 uOttawa.cauOttawa.ca

Engineering Mechanics Mécanique pour Ingénieurs

GNG 1105 / 1505 | Presented by: Dr. M. YANDOUZI Problems/ Problèmes 2 uOttawa.ca

TUT-

3 uOttawa.ca 3/4 The 450-kg uniform I-beam supports the load shown. Determine the reactions at the supports.

PROBLEM T4/

4 uOttawa.ca

1. DCL / FBD

2. Equilibrium: SOLUTION T4/

7 uOttawa.ca 3/61 The uniform rectangular plate of mass m is suspended by three cables. Determine the tension in each cable.

PROBLEM T4/

8 uOttawa.ca

1. DCL / FBD

2. Forces in the cables
   3. Equilibrium SOLUTION T4/ TAD = TAD. AD /  AD (^) = TAD. TAD = TAD. (0.351j + 0.936k) TBE = TBE. (-0.351j + 0.936k)

My = 0; TCF = (0.5) m.g

Mx = 0; TAD = (0.267) m.g

Fz = 0; TBE = (0.267) m.g

m.g(0.4m) – TCF (0.8m) = 0

m.g(0.5m)–(0.5)m.g(0.5m)–0.936TAD(1m) = 0

(0.5)m.g+0.267m.g(0.936)+TBE(0.936)- m.g= 0

TCF = TCF. ( 1 k)

9 uOttawa.ca 3/81 A rectangular sign over a store has a weight of 100kg, with the center of gravity in the center of the rectangle. The support against the wall at point C may be treated as a ball-and-socket joint. At corner D support is provided in the y-direction only. Calculate the tensions T 1 and T 2 in the supporting wires, the total force supported at C, and the lateral force R supported at D.

PROBLEM T4/

10 uOttawa.ca

1. DCL / FBD

2. Forces:
   3. Equilibrium: SOLUTION T4/ Note, T1, T2, R et le poids W coupent l’axe des-x. Donc C doit couper x, c-à-d. Cy=

MAB = 0; Cx = 0.561 [kN]

Mz = 0;

-Cx(3.5m) + 0.1(9.81)(2m) = 0 T 1 = T 1. (-0.8081 i - 0.303 j + 0.5051 k) T 2 = T 2. (-0.651 i + 0.3906 j + 0.651 k)

• (0.303T 1 )(4m) + (0.3906T 2 )(2.5m) = 0 T 2 = 1.24 T 1 T 1 = T 1. nEA = T 1. (EA/ EA) T 2 = T 2. nFB = T 2. (FB/ FB)

13 uOttawa.ca

1. DCL / FBD

2. Equilibrium SOLUTION T4/ 14 uOttawa.ca 3/88 The mass of the uniform right-triangular tabletop is 30 kg, and that of each of the vertical legs is 2 kg. Determine the normal reaction force exerted by the floor on each leg. The mass center of a right-triangular body can be obtained from Table D/3 in Appendix D.

PROBLEM T4/

15 uOttawa.ca

1. DCL / FBD

2. Equilibrium SOLUTION T4/ 16 uOttawa.ca 3/68 The 50-kg uniform triangular plate is supported by two small hinges A and B and the cable system shown. For the horizontal position of the plate, determine all hinge reactions and the tension T in the cable. Hinge A can resist axial thrust, but hinge B cannot. See Table D/3 in Appendix D for the mass-center location of a triangular plate.

PROBLEM T4/