Fundamental of Structures

Question 1

a) Find the tensions of the cable CG and FG.

b) Find the reactions at A and B.

c) By the method of joints to calculate the forces of member AC and CD.

d) By the method of sections to calculate the force of member DB.

Question 2: Figure Q2a shows a stick made of aluminum. The stick is supported by a vertical force R in equilibrium as shown in Figure Q2b. Given that the density per unit length of the stick is 1kg/m.

a) Calculate the vertical force R.

b) Find the centroid of Figure Q5a.

c) Find the angle of rotation α in Figure Q5b.

Question 3: Figure Q3 shows a simply supported beam. The beam is pinned and roller supported at A and E, respectively. A uniform distributed load 3kN/m is applied along AB. A couple 4kNm is applied at C. A vertical concentrated force 10kN is applied at D.

a) Find all the support reaction unknowns.

b) Draw the shear force diagram along the beam AE.

c) Draw the bending moment diagram along the beam AE.

Question 4:

a) Find the reactions at A and B.

b) Find the equations of shear force and bending along member AB.

c) Find the maximum bending moment along member AB.

Question 5:

Figure Q5 shows a truss simply supported at A and E. The truss is pinned and roller supported at A and E, respectively. A vertical concentrated force P is applied at G. If the maximum compression and tensile capacity of the truss member is 3kN and 0.8 kN, respectively, find the maximum allowable value of P. (Hint: Identify all the zero-force members)