1. Problem 7.161
120 mm
It has been experimentally determined that the bending moment at point K of the frame shown is 300 N-m. Determine (a) the tension in rods AE and FD, (b) the corresponding internal forces at point J. B A
100 mm E J F
100 mm k
100 mm D C
280 mm

2. Solving Problems on Your Own
120 mm
Problem 7.161 B A
Solving Problems on Your Own
100 mm E
It has been experimentally determined that the bending moment at point K of the frame shown is 300 N-m. Determine (a) the tension in rods AE and FD, (b) the corresponding internal forces at point J. J F
100 mm k
100 mm D C
280 mm
1. Cut the member at a point, and draw the free-body diagram
of each of the two portions.
2. Select one of the two free-body diagrams and use it to write
the equations of equilibrium.

3. 120 mm
Problem Solution B A
Cut the member at a point, and draw the free-body diagram of each of the two portions. Tx
100 mm J T
100 mm Ty k A V
MK = 300 N-m F D
= 340
300 D
= 160 A F 8
MK = 300 N-m T 15 17 V Ty k D
100 mm Tx 15 17 D
Ty = T C 8 17
280 mm
Tx = T

4. SMk = 0: 300 N-m - T(0.2 m) - T(0.12 m) = 0 T = 1500 N
120 mm
Problem Solution 8 17
Tx = T B A
Select one of the two free-body diagrams and use it to write
the equations of equilibrium.
200 mm J 15 17
Ty = T k V
MK = 300 N-m
Free Body: ABK F D + 8 17 15 17
SMk = 0: N-m T(0.2 m) T(0.12 m) = 0
T = 1500 N

5. SMJ = 0: MJ - (705.88 N)(0.1 m) - (1323.53 N)(0.12 m) = 0
120 mm
Problem Solution B A 8 17
Tx = (1500) = N
100 mm J 15 17
Ty = (1500) = N V MJ F
Free Body: ABJ D +
SMJ = 0: MJ - ( N)(0.1 m) - ( N)(0.12 m) = 0
MJ = 229 N-m +
SFx = 0: N - V = V = 706 N +
SFy = 0: -F N = F = 1324 N