1. Determine the force in members BC, BE, and EF. State if
the member is at tension or compression. Set L = 1000 lb
and d = 6 ft.
2. Determine the force in the horizontal member BD,
set L = 1000 lb, d = 10 ft and x = 7.5 ft. Also calculate
the magnitude of the force developed at pin C.
FBD = Cx = 384.9 lb, Cy = 0 lb.
3. Determine the magnitude of shear force and
bending moment at a point located at 1 m from
the pin support for the beam shown. Then find the
shear force and bending moment diagrams for the
beam by first determining the corresponding
algebraic equations
4. Determine the magnitude of shear force and bending
moment at B (B is at 0.8 m from A) for the beam shown.
Then find the shear force and bending moment diagrams
for the beam by first determining the corresponding
algebraic equations.
5. Determine the force in member BD and the magnitude of the
reaction at A.
FBD = 9.659 kN, Ax = 6.83 kN, Ay = 4.33 kN
6. Calculate the forces in members BC,
BH, and HI of the loaded truss composed
of equilateral triangles, each of side length
8 m.
BH = 0.5774 kN (T)
BC = 1.1547 kN (T)
7. Determine the magnitude of shear force and
bending moment at points located 0.15 m and
0.45 m from the pin support for the beam
shown. Then find the shear force and bending
moment diagrams for the beam by first
determining the corresponding algebraic
equations
8. Find the shear force and bending moment at section C.
V = 3.666667 kN, M = 2.77777 kN-m. Then find the shear
force and bending moment diagrams for the beam by first
determining the corresponding algebraic equations
9. Determine the magnitude of shear force and
bending moment at 2 m and 4 m from the support
for the beam shown. Then find the shear force and
bending moment diagrams for the beam by first
determining the corresponding algebraic equations
a) V = 22 kN, M = 64 kN-m
b) V = 16 kN, M = 26 kN-m
10. Determine the horizontal and vertical
components of force that the pins at A, B, and C
exert on their connecting members.
Ax = 4200 N; Ay = 4000 N
Bx = 4200 lb; By = 3200 N
Cx = 3400 N; Cy = 4000 N
11. Determine the horizontal and vertical
components of force which the pins exert on
member ABC.
Ax = 80 lb; Ay = 80 lb
Bx = 333.333 lb; By = 133.333 lb
Cx = 413.333 lb; Cy = 53.333 lb
12. Determine the horizontal and vertical components of
force at each pin. The suspended cylinder has a weight
of 80 lb. Notice DC is a two-force member.
Ax = 160 lb; Ay = 0 lb
Bx = 80 lb; By = 26.667 lb
Cx = 160 lb; Cy = 106.667 lb
Dx = 160 lb; Dy = 106.667 lb