cameroon gce A level 2024 building construction applied mechanics 2
cameroon gce A level 2024 building construction applied mechanics 2
Consider the trolley of two wheels rolling on
F1–500KN, F2=800KN as shown on figure 1 below,
an
PI = 500KN
P2 = 800KN
a) Calculate the resultant R of PI and P2 and determine its point of application within the convoy (x) from Pi
; ‘ (5 marks)
b) Calculate the reaction RA and RB at the supports, in function of X and the resultant R if x— 1 .2J (3 marks)
c) Determine the value of X for the convoy to yield the maximum shear force along the beam (4 marks)
d) Determine the maximum possible bending moment that can be induced by the convoy along the beam
(8 marks)
2. The figure 2 below is a section through a dam in the form of a RC abutment wall. This wall is based on an
eccentric RC footing of depth 75cm, a width of 2.00m and length 1200.00m. Our studies shall be done on only
a 1.00 meter length of this wall. The density of water is 1000kg/m3
(u). Knowing that the hydrostatic pressure P* pgh, calculate the pressure exerted on the RC wall at A(PA)and at
(3 marks)
(h). Considering only 1 ,00 m of the wall length, deduce the distribution load along the wall height due to water
, (4 marks)
(c).Considering the mechanical diagram on figure I b, determine the built in moment at B induced by the wall on the
foundation supposing that the distribution load q 2943daN/ml
(d). If the induced moment at I) is considered to be 44l4.5daNm, determine the stress induced by this footing to the
ground
e). draw the stress diagram illustrating the bearing reaction of the ground onto the footing see figure 2c above.
» ( Pa) *
pressure and explain why the loading, varies,
(4 marks)
(6 marks)
(3 marks
(a) write the load variation equations along the beam (Y1 from 0 to 1/2 and Y2 from L/2 to L)
(b) Calculate the reactions at A and at C
(c) Knowing that the loading is symmetrical and assuming that the load variation equation from x=0 to x=5 is
y=40x+200, write the equation of bending moment and shear force along the beam within the interval x=0 to x=5
(8 marks)
(d) Considering that T(x) = 20x2+200x–l500, and M(x) = 1500x–20x3/3–100xJ are respective shear force and bending
moment equations from x~0 to 5, draw the diagrams of shear force and bending moment within this interval
(5 marks)
