Mechanical Engineering Principles

78 MECHANICAL ENGINEERING PRINCIPLES

1 m 1 m

3 kN

C

AB

Figure 6.28

2. Figure 6.29
   [see Figure 6.43(b) on page 82)]

2 m 1 m

4 kN

C

AB

Figure 6.29

3. Figure 6.30
   [see Figure 6.43(c) on page 82)]

1 m 1 m 1 m

1 kN 4 kN

CD

AB

Figure 6.30

4. Figure 6.31
   [see Figure 6.43(d) on page 82)]

2 m 2 m 2 m

1 kN 4 kN

AD

CB

Figure 6.31

5. Figure 6.32
   [see Figure 6.43(e) on page 82)]

1 m 1 m 1 m

4 kN 6 kN m

CD

AB

Figure 6.32

6. Figure 6.33
   [see Figure 6.43(f) on page 82)]

2 m 2 m

4 kN 6 kN

C

AB

Figure 6.33

7. Figure 6.34
   [see Figure 6.43(g) on page 82)]

1.5 m 1.5 m

2 kN 6 kN m

C

AB

Figure 6.34

6.5 Uniformly distributed loads

Uniformly distributed loads (UDL) appear as

snow loads, self-weight of the beam, uniform pres-

sure loads, and so on. In all cases they are assumed

to be spread uniformly over the length of the beam

in which they apply. The units for a uniformly dis-

tributed load are N/m, kN/m, MN/m, and so on.

Worked problems 6 and 7 involve uniformly dis-

tributed loads.

Problem 6. Determine expressions for the

bending moment and shearing force

distributions for the cantilever shown in

Figure 6.35, which is subjected to a

uniformly distributed load, acting