A bridge of length 50.0 m and mass 7.55 x 104 kg is supported on a smooth pier at each end as shown in the figure below. A truck of mass 2.55 x 104 kg is located 15.0 m from one end. What are the forces on the bridge at the points of support?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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12.2

Let na
and
nB be the normal forces at the points of support. Choosing the origin at point A with F, = 0 and
T = 0, we find
nA + B - mB9-m-g = 0.
Substituting, we have
giving
nA + nB - 7.55
Choosing the axis at point A, we have for the torque
-m-dg-m₂(L/2g + ngL = 0,
x 104 kg)g -(
-(2.5
+ng(0
x 104 kg)
X
The correct answer is not zero. m
15
= 0
2.55
x 104 kg g = c
0.
✓m)g - (7.55 x 104 kg)(
25
mg
Transcribed Image Text:Let na and nB be the normal forces at the points of support. Choosing the origin at point A with F, = 0 and T = 0, we find nA + B - mB9-m-g = 0. Substituting, we have giving nA + nB - 7.55 Choosing the axis at point A, we have for the torque -m-dg-m₂(L/2g + ngL = 0, x 104 kg)g -( -(2.5 +ng(0 x 104 kg) X The correct answer is not zero. m 15 = 0 2.55 x 104 kg g = c 0. ✓m)g - (7.55 x 104 kg)( 25 mg
A bridge of length 50.0 m and mass 7.55 x 104 kg is supported on a smooth pier at each end as shown in the
figure below. A truck of mass 2.55 x 104 kg is located 15.0 m from one end. What are the forces on the bridge at
the points of support?
M
A
15.0 m
-50.0 m
B
Transcribed Image Text:A bridge of length 50.0 m and mass 7.55 x 104 kg is supported on a smooth pier at each end as shown in the figure below. A truck of mass 2.55 x 104 kg is located 15.0 m from one end. What are the forces on the bridge at the points of support? M A 15.0 m -50.0 m B
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