ALL 13 CHAPTERS & APPENDIX COVERED
PowerPoint Presentation
,Chapter 1 Solutions
,P1.1 (a)
C (ft-lb) C Vz
Mỵ Vz 0
x=a 0
Mỵ C x a
x-a
P Vz
P (lb)
Vz 0
My P x a
x=a 1
Mỵ P x a
x-a
w (lb/ length) w Vz 1
Vz w x a
Mỵ w 2
x=a Mỵ x a
2
x-a
s Vz s 2
s (lb/ length2) Vz x a
1
1 2
Mỵ s
3
x=a Mỵ x a
x-a 6
, P1.1(a) continued
z 20 lb/ft
x Vz
10 ft 10 ft
A = 50 lb B = 150 lb
My
0 1 0
Vz x x x 20
50 0 20 10 150
1 2 1
Mỵ x x x 20
50 0 10 10 150
not needed since it is zero for the entire beam
these terms could have been
written as ordinarỵ functions
Vz 50
Mỵ 50x
PowerPoint Presentation
,Chapter 1 Solutions
,P1.1 (a)
C (ft-lb) C Vz
Mỵ Vz 0
x=a 0
Mỵ C x a
x-a
P Vz
P (lb)
Vz 0
My P x a
x=a 1
Mỵ P x a
x-a
w (lb/ length) w Vz 1
Vz w x a
Mỵ w 2
x=a Mỵ x a
2
x-a
s Vz s 2
s (lb/ length2) Vz x a
1
1 2
Mỵ s
3
x=a Mỵ x a
x-a 6
, P1.1(a) continued
z 20 lb/ft
x Vz
10 ft 10 ft
A = 50 lb B = 150 lb
My
0 1 0
Vz x x x 20
50 0 20 10 150
1 2 1
Mỵ x x x 20
50 0 10 10 150
not needed since it is zero for the entire beam
these terms could have been
written as ordinarỵ functions
Vz 50
Mỵ 50x
