Structural Analysis, Si Edition (mindtap Course List)
6th Edition
ISBN: 9781337630948
Author: KASSIMALI, Aslam
Publisher: Cengage Learning
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Chapter 9, Problem 2P
To determine
Find the maximum upward reaction at support A.
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The rigid frame shown in Fig.1 is pinned at A and roller supported at D. For the given
loading, determine the support reactions and draw the axial force, shear force and
bending moment diagrams.
112 kN-
6 m
B
A
17.5 kN/m
9 m
с
D
4.5 m
67.5 KN
4.5 m
Fig.1
5.9: For the beam in Fig. P5.9, determine the extreme value
of the shearing force and bending moment at point D due to
the concentrated live load of 30 kN, a unifomly distributed
live load of 3 kN/m (of any length), and a uniformly
distributed dead load of 1 kN/m.
D
E
F
A
20 m
30 m
30 m 15 m y15 m
20 m
Figure P5.9
= 1937.5
(Max. Vp = 60.417 kN; Min. VD = -45.833 kN; Max. Mp
%3D
%3D
kN.m; Min. Mp = -1100 kN.m)
1. Shown in Figure 1 is a beam subjected to
varying loadings and a point load.
12 kN
3kN/m
6 kN/m
a) Determine the magnitude and direction
of the force equivalent to the forcing
system. Specify its location on the beam
from point B.
A
5m
b) Calculate for the support reactions at A
and B.
Fig. I
Chapter 9 Solutions
Structural Analysis, Si Edition (mindtap Course List)
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- Q-1 The rigid frame shown in Fig.I is pinned at A and roller supported at D. For the given loading, determine the support reactions and draw the axial force, shear force and bending moment diagrams. 17.5 kN/m 4.5 m 112 kN в + 67.5 kN 6 m 4.5 m Fig.1 9 marrow_forward5/111 Calculate the support reactions at A and B for the beam subjected to the two linearly varying load distributions. 6 kN/m 2 kN/m 4 kN/m A В 4 m 6 marrow_forwardDraw influence lines for the reactions at A and C and for the bending moment at E in the beam system shown in Fig. P.20.8. Note that the beam AB is supported on the lower beam at D by a roller. If two 10 kN loads, 5 m apart, cross the upper beam AB, determine the maximum values of the reactions at A and C and the bending moment at E. Ans. RA(max)=16.7 kN, Re(max)=17.5 kN, MẸ(max)=58.3 kNm.arrow_forward
- The continuous beam ABC, Fig.2, is fixed at A and pinned at C with a roller support at B. The point loads of 30 KN and 20 kN act at the midpoints of AB and BC respectively. Use the method of consistent deformations to determine the reaction components and draw the shear force and bending moment diagrams for the beam. (constant EI). AH F 30 kN ↓ 12m 20 kN 12m Fig.2arrow_forwardPROBLEM 1: 10KN D A B. 5m Determine the following in the pinned joint frame above: 1. Vertical and Horizontal component of the reaction at pinned C 2. Vertical and Horizontal component of the reaction at pinned A 1.25m 1.25m 2.5marrow_forwardProb. 1.4-15. Determine the internal resultants FG, VG, and Me on the cross section at G of the horizontal frame member in Fig. P1.4-15. The uniformly distributed load on member AC has a magnitude w, = 3.2 kN/m. (See the inset for a definition of the resultants.) 60° B 1 m G B 0.5 m 0.5 m MG VG FG G P1.4-15 and P2.2-16 WO CIT 1.2 m D-+ 0.6 marrow_forward
- (6.70 A beam with two equal overhangs carries a unitoad between supports A and B and concentrated loads at the free ends. shown in Fig. P6.70. (a) Write an expression for distributed load, shear, and moment acting in the beam. (b) Draw shear and moment diagrams. y P=-10 KN A -1 m w = 15 kN/m 2 m Figure P6.70 P=10 KN B 123 Narrow_forwardProblem 1: The figure shown is a beam subjected to varying loadings and a point load. a) Determine the magnitude and direction of the single equivalent force to the forcina svstem shown. Specify its location on the beam from point B. b) Calculate for the support reactions at A and B. Fig. 19kN 4kN/m 7.7 kN/m A -5 m- 6.8 m 2.8knarrow_forward333. Determine the reactions R1 and R, of the beam in Fig. P-333 loaded with a concentrated load of 1600 ib and a load varying from zero to an intensity of 400 lb per ft.arrow_forward
- 4.74 For the frame shown, determine the magnitude of the pin reaction at B. Neglect the weight of the frame. 2m B 1.8 m 3m C 15 kN/m 12 kN/m Fig. P4.74arrow_forward5.11: Determine the absolute maximum sh earing force and bending moment in a simply supported beam of 50 m span due to the series of four moving concentrated loads shown in Fig. P5.11. 20 kN 20 kN 30 kN 30 kN ↑ t my 6 m 6 m 50 m Figure P5.11arrow_forwardPractice Problem 4.4.10: For the frame shown, 2m B determine the magnitude of the pin reaction at B. Neglect the weight of the frame. 1.8 m 3m -15 kN/m A 12 kN/marrow_forward
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