1. Problem 7.163
1500 lb/ft
For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the magnitude and location of the maximum absolute value of the bending moment. A B C
6000 lb
4 ft
6 ft

2. Solving Problems on Your Own
1500 lb/ft
Solving Problems on Your Own A B
For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the magnitude and location of the maximum absolute value of the bending moment. C
6000 lb
4 ft
6 ft
1. Draw a free-body diagram for the entire beam, and use it to
determine the reactions at the beam supports.
2. Draw the shear diagram.
3. Draw the bending-moment diagram by computing the area
under each portion of the shear curve.

3. S MA = 0 : (6 kips)(10 ft) - (9 kips)(7 ft) + B (4 ft) = 0
Problem Solution
3 ft
9 kips
Draw a free-body diagram for the entire beam, and use it to
determine the reactions at the beam supports. C B A
4 ft
6 ft
6 kips
S MA = 0 : (6 kips)(10 ft) - (9 kips)(7 ft) + B (4 ft) = 0
B = 0.75 kips + +
S Fy = 0 : A kips + 6 kips - 9 kips = 0
A = 2.25 kips

4. Draw the shear diagram. V (kips) x VB 3 kips BD = = w 1.5 kips/ft
Problem Solution
1.5 kips/ft A B C
2.25 kips
0.75 kips
6 kips
4 ft
6 ft
V (kips)
+ 3 kip D
kip x A B C VB w
3 kips
1.5 kips/ft
BD = =
- 6 kip
2 ft
4 ft

5. Draw the bending-moment diagram.
Problem Solution
1.5 kips/ft A B C
2.25 kips
0.75 kips
6 kips
4 ft
6 ft
V (kips)
+ 3 kip 1 2
(3 kips)(2 ft) = (+3 kip-ft)
kip
(+9 kip-ft) D x A B C
(- 12 kip-ft) VB w
3 kips
1.5 kips/ft
BD = =
- 6 kip
2 ft
4 ft
(+12 kip-ft)
Mmax = 12 kip-ft
(+9 kip-ft)
M (kip-ft)
6 ft from A x A B D C