CE 221 Homework 02 (due date 04.05.2015)
Please use your seven digit ID number (see pages 3 and 4 for an example)
No partial credits.
1. The bent rod is supported at A, B, and C by smooth journal bearings. Compute the x,y,z
components of reaction at the bearings if the rod is subjected to forces F1 and F2. F1 lies in the yz plane. The bearings are in proper alignment and exert only force reactions on the rod.
F1= the last three digits of your ID number + 100 Newton
F2=F1+50 Newton
a=2 m
b=third digit of your ID number + 2 m
c=b/2 m
d=b+2 m
e=b
q=(last two digits of your ID number ) x 0.5 + 25 degrees
a=q*0.75 degrees
b=q*0.5 degrees
2. The allowable normal force for members in compression and tension are -2 kN and 5 kN,
respectively (consider only BF, BC, BE, and FE). Find the maximum P that can be applied to the
truss system shown below.
a=last digit of your ID number + 2 m
b=sixth digit of your ID number + 8 m
a=fourth digit of your ID number / 10
a
b
P
a
aP
3. Determine the compressive force that is exerted at C as a function of q. Plot P as a function
of q for 0<q<90.
Q
a=last digit of your ID number +3 m
b=a+3 m
b=(third and fourth digits of your ID number)x0.3 degrees
Q=last two digits of your ID number +2 kN
M=third and fourth digits of your ID number + 3 kN.m
b
4. An F shaped element is connected to a boom at C with a pin. Draw the normal force, shear
force and moment diagrams for ABCD.
w
w
q
C
B
A
D
a
w
6m
E
M
6m
P
3m
w=last two digits of your ID number + 2 kN/m
P=fifth and sixth digits of your ID number + 3 kN
M=P+2 kN.m
q=(fourth and fifth digits of your ID number)x0.5 degrees
a=last digit of your ID number + 3 m
Sample ID number is 1802535
1. The bent rod is supported at A, B, and C by smooth journal bearings. Compute the x,y,z
components of reaction at the bearings if the rod is subjected to forces F1 and F2. F1 lies in the yz plane. The bearings are in proper alignment and exert only force reactions on the rod.
Sample ID number is 1802535
F1= the last three digits of your ID number + 100 Newton=635 N
F2=F1+50 Newton=685 N
a=2 m
b=third digit of your ID number + 2 m = 2 m
c=b/2 m = 1 m
d=b+2 m = 4 m
e=b = 2 m
q=(last two digits of your ID number ) x 0.5 + 25 degrees =42.5
a=q*0.75 degrees=31.875
b=q*0.5 degrees=21.25
2. The allowable normal force for members compression and tension are -2 kN and 5 kN,
respectively (consider only BF, BC, BE, and FE). Find the maximum P that can be applied to the
truss system shown below.
Sample ID number is 1802535
a=last digit of your ID number + 2 m = 7 m
b=sixth digit of your ID number + 8 m = 11 m
a=fourth digit of your ID number / 10 = 0.2
a
b
P
a
aP
3. Determine the compressive force that is exerted at C as a function of q. Plot P as a function
of q for 0<q<90.
Sample ID number is 1802535
Q
b
a=last digit of your ID number +3 m = 8 m
b=a+3 m = 11 m
b=(third and fourth digits of your ID number)x0.3 degrees = 0.6
Q=last two digits of your ID number +2 kN = 37 kN
M=third and fourth digits of your ID number + 3 kN.m = 5 kN.m
4. An F shaped element is connected to a boom at C with a pin. Draw the normal force, shear
force and moment diagrams for ABCD.
w
w
q
C
B
A
D
a
w
6m
E
M
6m
Sample ID number is 1802535
w=last two digits of your ID number + 2 kN/m = 37 kN/m
P=fifth and sixth digits of your ID number + 3 kN = 56 kN
M=P+2 kN.m = 58 kN.m
q=(fourth and fifth digits of your ID number)x0.5 degrees = 12.5
a=last digit of your ID number + 3 m = 8 m
P
3m