Question

Task 2
The figure shows a beam AB, which is attached with a joint in B. It is supported in D, with the rod CD.
It has an evenly distributed load q1 = 200 N/m which acts on 4 meters of the beam, and an evenly
distributed load q2 = 100 N/m which acts on 2 meters of the beam.
2m
2m
2m
+
qi= 200 N/m
+
q) = 100 N/m
B
A
D
45°
m
3m
a) Show that the bearing forces Bx = 850 N By = 150 Nog the articulation force D = 1202 N
b) Draw and calculate the shear force, torque and normal force diagram for the beam AB. Remember
that calculations must be included in the answer.
50
10
c) Beam AB is made of a composite cross section, as shown in the figure above.
The tip down is a triangle with a height of 50 mm and a width of 10 mm. Show
that yu = 47.78mm, yov = 12.22mm, Wxu = 2452 mm3 and Wxov = 9583mm3.
50
d) Calculate maximum tensile o and maximum pressure ot (combined stresses),
also state where these are located.
10
e) The rod CD is articulated at both ends and is made of steel which has an E-module of E =
206000MPa. It has a profile called «Welded and seamless steel pipes». Diameter D = 26.9 mm and
thickness t = 2.3 mm. Calculate the safety against buckling
f) E is a foundation that prevents B from slipping. It is held only by friction between
the substrates, the coefficient of friction u = 0.5. How heavy must the foundation E
at least be for B to be kept still?
8) We want to replace the foundation with an inclined plane, see the figure below. The coefficient of
friction between the inclined plane and point B ls u = 0.5. How large must the angle a be at least for
the system to be in equilibrium.
2m
F
2m
2m
+
qi = 200 N/m
+
9. = 100 N/m
B
D
450
3m​

Answer 1

Answer:

jnv j j j. jbj j j n n bn vc f d. g b h h b hh