2145321 Air Struc I – Ex 0-1
Assignment Date: Wednesday 08 August 2012 Submission Date: In class
Name ID No 2D Equilibrium
The member ABC is connected to a spring at C and a smooth peg at B. Determine the reactions at the pin A and the smooth peg B. The spring has an unstretched length of 80 mm. Neglect the weight of the member.
2145321 Air Struc I – Ex 0-2
Assignment Date: Wednesday 08 August 2012 Submission Date: In class
Name ID No Disassembling
A plate P is supported by two bars (OA and BD), a cable EF and subjected to a couple M = 60 N·m. Neglect the weights of the plate P, bar OA and bar BD. Note that the bar OA and bar BD do not touch and the 2D
approximation can be assumed for this problem. Disassembling the structure.
2145321 Air Struc I – Ex 0-3
Assignment Date: Wednesday 08 August 2012 Submission Date: In class
Name ID No Axial Load
Rigid beam AC with deformable rods AB and CD with areas AAB = 50 mm2
& ACD = 100 mm2 and Young’s moduli EAB = 200 GPa & ECD.= 120 GPa.
The allowable stresses for AB and CD are respectively 700 MPa and 900 MPa. Given x = 2 m, determine the maximum distributed force w and the angle of inclination of the beam AC.
2145321 Air Struc I – Ex 0-4
Assignment Date: Wednesday 08 August 2012 Submission Date: In class
Name ID No Torsion
The steel (G = 76 GPa) shaft rotates at 100 rad/s. The inner and outer diameters of the shaft are 30 mm and 40 mm, respectively.
Assume smooth bearings at G and B.
(1) Plot the internal torque T as a function of x from G.
(2) Plot the shear stress distribution at 2.5 m from G.
(3) Determine the angle of twist at C with respect to F.
2145321 Air Struc I – Ex 0-5
Assignment Date: Wednesday 08 August 2012 Submission Date: In class
Name ID No Bending
Determine and sketch the shear force, bending moment diagrams and deflection. Also, sketch the stress
distributions at the section A, clearly indicate the maximum bending stresses and transverse shear stress. Given E = 200 GPa, the cross sectional area is 100 mm × 60 mm.
2145321 Air Struc I – Ex 0-6
Assignment Date: Wednesday 08 August 2012 Submission Date: In class
Name ID No 2D Equilibrium
The light members ABC and BD are pinned together at B. Determine the support reactions at C and D.
C
A B
D 150 N
1 m 1 m
0.5 m 0.5 m
2145321 Air Struc I – Ex 0-7
Assignment Date: Wednesday 08 August 2012 Submission Date: In class
Name ID No 3D Equilibrium
Consider the system of 250-N force and 800 N-m couple, replace the system of 250-N force and 800 N-m couple by a resultant force and couple moment at point A. The supports at point A is a ball and socket while at C is a properly-aligned journal bearing. The connector at B is a collar. Disassemble the bodies and, if SD, determine the unknown supports and reactions.
