Question

The truss structure ABCD is loaded with a concentrated force P = 2 kN applied at a 45° angle at joint D as indicated in the figure. All bars in the truss have equal cross sectional area and are made of the same homogeneous linear elastic material. The dimensions are H=3 m and L=8 m. Use the method of joints to obtain the axial forces in the bars and the Cartesian components of the reactions at the supports A and C.


Obtain the numerical values of the axial forces in the bars in kN.

Note: there will be factors of 2√ in your solutions. Do not use the square root symbol in your answer, just factor in the value as 1.4142.

NAB=
kN unanswered
NBC=
kN unanswered
NBD=
kN unanswered
NCD=
kN unanswered
NAD=
kN unanswered

HW4_1B : 15.0 POINTS

Obtain the numerical values of the Cartesian components of reactions at the supports in kN.

Note: there will be factors of 2√ in your solutions. Do not use the square root symbol in your answer, just factor in the value as 1.4142.

RAx=
kN unanswered
RAy=
kN unanswered
RCy=
kN unanswered

HW4_1C : 20.0 POINTS

If the elongation of bar BD is δBD=3 mm , obtain the numerical value (in mm) of the elongations of all the other bars in the truss:

δAB=
mm unanswered
δBC=
mm unanswered
δCD=
mm unanswered
δAD=
mm unanswered

Answer 1

1_A : -1.17, -1.17, 1.4142, 0.936, 2.35
1_B : -1.414, 0.702, 0.702
1_C:-4.1, -4.13,2.647,6.646

Answer 2

1_A : -1.17, -1.17, 1.4142, 0.936, 2.35
1_B : -1.414, 0.702, 0.702
1_C:-4.13, -4.13,2.647,6.646

Answer 3

4_2 part IIA RxA=4, RyA=0
4_2 part IIB RxE=4, RyE=2

Answer 4

4_2 part IIA RxA=-4, RyA=0
4_2 part IIB RxE=4, RyE=2

Answer 5

anyone for 4_2:PartI

Answer 6

HW4_2: Part I please help!

Answer 7

4_2 part IIA RxA=-4, is wrong !!