10:21 l?60EditAns. R= 2063.7 N, 0x = 53.84°6. Determine P and € so that the three forces shown are equivalent to the single force Rx = 87.32 kN.Ans. P= 109.6 kN. 0 = 29 97. The fcrce R is the resultant of the forces P1, P; and P3 acting on the rectangular platc. Find P, and P; if R =40 kN and Pa = 20 kN.3002001300Dimensiont in mnAns. Pj = 2.3 kN, P2 = 44.64 kN8. Knowing that the forces P and Q are equivalent to a single force R that passes through point A, determine Pand R.Q = 150 N0.2 mAns. P= 203.5N, R = 170 N9. The three forces acting on the beam can be replaced with a single equivalent force R if Rx = -11kN.Determine the angle 0 and R.- 0 IN- 25 kNP;= 80 kN30DODOwToolsMobile ViewSharePDF to DOC P35 0.18 m -0.12 m-Ans. P= 203.5N, R = 170 N9. The three forces acting on the beam can be replaced with a single equivalent force R if Rx = -11KN.Determine the angle 0 and R.P= 60 kNP = 25 kNP = 80 kN50°6mAns. 0 = 69.23°, R = 134 kN10. The three forces, each of magnitude F, are applied to the crate. Determine F so that the three forces areequivalent to a single 3000-N force.F25°F45°FAns, F= 1141 N11. Determine the magnitude and sense of the moment of the 800-N force about point A.800 N38°0.6 m0.5 mAns. MA = 132 N-m, CW12. Two forces can be replaced by an equivalent force R acting at point B on the beam. Determine thedistance b that locates B. (Hint: The combined moment of the two forces about any point is equal to themoment of R about the same point.)3.5 mP5.5 m2.5 m-b-Ans, b= 1,378m

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Determine P and € so that the three forces shown are equivalent to the single force Rx= 87.32 kN. 30 kN 40 KN

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

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10:21 l?
60
Edit
Ans. R= 2063.7 N, 0x = 53.84°
6. Determine P and € so that the three forces shown are equivalent to the single force Rx = 87.32 kN.
Ans. P= 109.6 kN. 0 = 29 9
7. The fcrce R is the resultant of the forces P1, P; and P3 acting on the rectangular platc. Find P, and P; if R =
40 kN and Pa = 20 kN.
300
200
1300
Dimensiont in mn
Ans. Pj = 2.3 kN, P2 = 44.64 kN
8. Knowing that the forces P and Q are equivalent to a single force R that passes through point A, determine P
and R.
Q = 150 N
0.2 m
Ans. P= 203.5N, R = 170 N
9. The three forces acting on the beam can be replaced with a single equivalent force R if Rx = -11kN.
Determine the angle 0 and R.
- 0 IN
- 25 kN
P;= 80 kN
30
DO
DO
w
Tools
Mobile View
Share
PDF to DOC

P35 0.18 m -0.12 m-
Ans. P= 203.5N, R = 170 N
9. The three forces acting on the beam can be replaced with a single equivalent force R if Rx = -11KN.
Determine the angle 0 and R.
P= 60 kN
P = 25 kN
P = 80 kN
50°
6m
Ans. 0 = 69.23°, R = 134 kN
10. The three forces, each of magnitude F, are applied to the crate. Determine F so that the three forces are
equivalent to a single 3000-N force.
F
25°
F
45°
F
Ans, F= 1141 N
11. Determine the magnitude and sense of the moment of the 800-N force about point A.
800 N
38°
0.6 m
0.5 m
Ans. MA = 132 N-m, CW
12. Two forces can be replaced by an equivalent force R acting at point B on the beam. Determine the
distance b that locates B. (Hint: The combined moment of the two forces about any point is equal to the
moment of R about the same point.)
3.5 m
P
5.5 m
2.5 m
-b-
Ans, b= 1,378m

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