Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Chapter 9, Problem 9P
To determine
Find the maximum compressive axial force in member GH.
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Prob. 2.2-14. The three-member frame structure in Fig.
P2.2-14 is subjected to a downward vertical load P at pin C.
The pins at B, C, and D apply axial loads to members BD
and CD, whose cross-sectional areas are A = 0.5 in² and
A2 = 1.0 in², respectively. (a) If the axial stress in member
BD is o = 1200 psi, what is the value of force P? (b) What
is the corresponding axial stress, 02, in member CD?
- 12 in.→|-- 12 in.-
9 in.
B
9 in.
C
(1),
32 in.
P
(2)
D
Prob. 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 m
4.18. Consider the balcony-type structure shown in Fig. 4-23. The horizontal balcony is loaded by a total load
of 80 kN distributed in a radially symmetric fashion. The central support is a shaft 500 mm in diameter and
the balcony is welded at both the upper and lower surfaces to this shaft by welds 10 mm on a side (or leg)
as shown in the enlarged view at the right. Determine the average shearing stress existing between the shaft
and the weld. Ans. 2.5 MPa
94
DIRECT SHEAR STRESSES
[CHAP. 4
80 kN
10 mm
-500 mm
10 mm
Fig. 4-23
500 mm
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- 2-16. A truss is loaded as shown in Fig. P 2-15. Determine the resultant load on the truss. 5000 6000 2000 6 Ponels e 10' : 60' 1000 2-18. Determine the resultant of the parallel, coplanar force system shown in Fig. P 2-18 and locate it with respect to point A. 10" 200 300 4' FIG. P 2-18arrow_forward9.11 For the truss of Problem 8.51, determine the maximum tensile and compressive axial forces in member DI due to a concentrated live load of 40 k, a uniformly distributed live load of 4 k/ft, and a uniformly distributed dead load of 2 k/ft. A H B FIG. P8.51 K C D 6 panels at 16 ft = 96 ft- E F G 14 ft 8 ft 12 ftarrow_forward0.5 in. B 1.8 in. C Fig. P1.60 1.61 For the assembly and loading of Prob. 1.60, determine (a) the average shearing stress in the pin at C, (b) the average bearing stress at C in member BC, (c) the average bearing stress at B in member BC. 5 kips 5 kips 0.5 in. 1.8 in.arrow_forward
- Q1: The steel shaft shown in Fig. is subjected to tw concentrated torques at B and C. If the shear modul of the steel material G is 80 GPa, determine: 1. The total angle of twist at the free end at C. / maximum shear strain Y max in each segment shaft AB and BC.arrow_forwardA snow load transfers the forces as shown in Fig. for Q. No. 01 to the upper joints of a Pratt roof truss. Neglect any horizontal reactions at the supports and compute the forces at member CD, CF and GF. 1 kN 1 kN 1 kN 1 kN B D 1 kN 2 m A E 2 m н 2m G 2 m F 2 marrow_forward6.56 Fig. P6.55 and P6.56 1.5 kN 3 kN B с 1-3m² 3 kN A Pratt roof truss is loaded as shown. Determine the force in members FH, FI, and GI. D E 3 m 3 kN F G 3m 3 kN 3 m H | 1 I 3 kN 3 m K 1.5 kN 16.75 m 3 m Larrow_forward
- Problem Five: Joint B is a pinned joint in single shear. The pin at B has a diameter of 0.5 inches. Find the average shear stress acting on this pin. 2k/ft 4 ft 10 k- 8 ft 10 ftarrow_forwardQ3/1.Determine the type of the truss in Fig.(3) 2.If the truss is made of a material has maximum allowable force 2.5KN in tension and 1.75KN in compression, determine the largest load P that can be applied to that truss. 1.5m - 3.6 m - Fig. (3) Barrow_forwardDetermine the bending stress (in Pa) at the top of the beam at point C for the beam shown belowif P = 1550 N, T = 4742 Nm, a = 0.97 m, b = 1 m, c = 0.71 m, w = 49 mm, and h = 84 mm. P T ㅏ AO А D ka | B b |C ↑ W ]]" harrow_forward
- 1.3 Determine the largest weight W that can be supported by the two wires AB and AC. The working stresses are 100 MPa for AB and 150 MPa for AC. The cross- sectional areas of AB and AC are 400 mm² and 200 mm2, respectively. B 30° 45° FIG. P1.3arrow_forwardThe 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_forwardA planar truss structure supported by a cable at C and pinned support at Fas shown in. et is subjected to a concentrated load at point B and D. Based on this condition, answer the following questions: D Determine the magnitude and sense of force in member BC, BF and 2F. 2) ds the force in member A2 similar in member EB? Describe any differences observed. 3) lf the direction of load acting at point D change to upward direction, provide the expected observation could be occured in +he truss system in term of internal forces. 25 kN A B. C +45° 5m 4m D E 30 kN 5m →-2.5m→+ 2.5marrow_forward
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