Problem M9
A beam of length L and flexural rigidity EI is clamped at each end. The beam has a
continuous load of magnitude qo applied along the beam. Using the “standard solutions”
below, or by other means, solve for the reactions at A and C.
q0 C
z
A
L
Standard solutions for deflections of beams under commonly encountered loading
Configuration End slope End deflection, Central deflection,
dw/dx (x=L) w(L) w(L/2)
ML
ML
2
EI 2EI
PL
2
PL
3
2EI 3EI
q
0
L3
q
0
L4
6EI 8EI
PL
2
PL
3
16 EI 48EI
q
0
L3
q
0 L
4
24EI 384EI
2
Unified Engineering
Spring 2004
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