Relation Between Load, Shear And Moments: Moving Loads Assessment
- Country :
Australia
The beam loaded as shown in Fig. P-438 consists of two segments joined by a frictionless hinge at which the bending moment is zero.
{Mh=0
4R1= 200(6)(3)
R1-900 lb
To draw the Shear Diagram
- Vx =0
- V-V+ Area in load diagram
200(2)--400 lb Vez Va+R-400+ 900 500 lb - V Vez+Area in load diagram
VH500-200(4)--300 lb - VcVn + Area in load diagram
Ve-300-200(2)=-700 lb - Location of zero shear:
x/ 500-(4-x)/300
300x2000 500x
x=2.5 ft
To draw the Moment Diagram
- Ma O (2) M M + Area in shear diagram
Me 0- (400) - --400 lb-ft
- M.-M. Area in load diagram
M-400+ Vs (500X2.5) M.- 225 bit - McM+ Area in load diagram
Mc-0-1 (300 700X2) - Mc--1000 lbft M.-M. + Area in load diagram
Mh 225 1 (300X4 2.5)-0 ok! - The location of zero moment in segment BH can easily be found by symmetry.