mechanical principles

Scenario
You work as a mechanical engineer designing structures; you are required to calculate the forces, stresses and strains required to help with these designs.
Task 1 (P1)
Using fig 1 below, calculate magnitude, direction and position of the lines of action of the resultant of the non-concurrent coplanar force system containing forces in different directions.
3810002914650041338502914650044767505143528KN
0028KN
4324350539115500
020000500
47625035433030KN
0030KN

-96202510922015KN
0015KN

-66675015494000 109474050546000
42195756477022KN
0022KN

Task 2 (P2)
Using fig 2, calculate the support reactions R1 and R2 of the beam, also determine the balance of the beam.
-325755100965Fig 2
R1
R2
6 m
2.0 m
3.5 m
200 N
400 N
W=100 N/m
00Fig 2
R1
R2
6 m
2.0 m
3.5 m
200 N
400 N
W=100 N/m

Task 3 (P3)
A copper strut with a diameter of 60mm and length 500mm is carrying a direct uniaxial load of 500N with a young’s modulus of 980KPa. Calculate (a) the direct stress, (b) the percentage strain in the material (c) the change in length of the strut.
Task 4 (P3)
A block of material is subjected to a shear force of 300N and is deformed. Find (a) the shear stress and (b) the shear strain.
Dimensions
L=130mm H=50mm W=60mm
Task 5 (M1) A component containing two pins is subjected to a combination of direct and shear stress. The pins are 10mm diameter with a UTS of 600MPa and an USS of 400Mpa. Calculate:
The factor of safety of the pins when subjected to direct stress.
The factor of safety for the pins when subjected to shear stress.
Grading criteria for PLC assignment 4
Grade Criteria Tip to pass grade
P1 Calculate the magnitude, direction and position of the line of action of the resultant and equilibrant of a non-concurrent coplanar force system containing a minimum of four forces acting in different directions. The criterion P1 requires the solution of a single non-concurrent force system containing a minimum of four