A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal before the load Pis applied. Bars(1) and (2) are both made from steel [E = 30100 ksi] and both have a cross-sectional area of 0.91 in.?. Assume L1=72 in., L2=133 in.,a-68 in., b-100 in., and c-33 in. If the normal stress in each steel bar must be limited to 15.2 ksi, determine the maximum load P thatmay be applied to the rigid bar.(2)L2|BDPAnswer: P -ikips.

Answered: Image /qna-images/answer/e88a7ae1-5aa0-4fe4-b793-1250b347fd02.jpg

Answered: A pin-connected structure is supported…

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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Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 410 mm2 and a length of L1 = 3.2 m. Rod (2) has an area of A2 = 355 mm2 and a length of L2 = 1.3 m. Assume dimensions of a = 3.4 m, b = 1.2 m, and c = 1.5 m. After a load of P = 50 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the magnitude of the downward deflection of the rigid bar at D. y,v (2) L2 a B C D x,u Rigid bar |(1) Answer: (a) o1 = i MPa 02 = i MPa (b) VD = i mm
9. Find the stresses in members BC and BE for the truss shown. The cross-sectional area of each member is 3780 mm². Indicate whether the stresses are tensile (T) or compressive (C). BC = 4.44 MPa (C), BE = 3.45 MPa (T) B C 50° 50° 50⁰° E 20 KN 50% D
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 109 GPa] with a cross-sectional area of A₁ = 530 mm². Bar (2) is an aluminum alloy [E = 64 GPa] with a cross-sectional area of A2 = 330 mm². A concentrated load of P = 67 kN acts on the structure at D. Assume L₁=740 mm., L₂=500 mm., a=660 mm., b=310 mm., and c=1030 mm. Determine: (a) the normal stresses 0₁, 02 in both bars (1) and (2). (b) the downward deflection VD of point D on the rigid bar.
Determine the forces in all bars of the truss shown in the given figure. Indicate tension or compression. Given: P = 7 kips 1515- 20 kips The force in member AB (FAB) is The force in member AF (FAA) is The force in member BF (FBR) is The force in member EF (FER) is The force in member DE (FDE) is[ The force in member CE (FCE) is[ The force in member CD (FCD) is The force in member BC (FBC) is 15 kips. (Click to select) 20 kips. Tension V kips. (Click to select) kips. (Click to select) kips. (Click to select) kips: (Click to select) kips (Click to select) kips. (Click to select)
A steel [E = 200 GPa] bar (1) supports beam AB. The cross-sectional area of the bar is 540 mm?. If the stress in the bar must not exceed 450 MPa and the maximum deformation in the bar must not exceed 20 mm, determine the maximum load P that may be supported by this structure. Use dimensions of a = 4 m, b = 2.4 m, and c = 5.2 m. (1) B' A a Answer: P = i kN
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 116 GPa] with a cross-sectional area of A₁ = 550 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A₂ = 290 mm². A concentrated load of P = 62 kN acts on the structure at D. Assume L₁=800 mm., L2=560 mm., a-590 mm., b=430 mm., and c=1160 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. a b Answers: (a) σ₁ = (b) VD = i (1) L₁ L2 (2) A B MPa, 0₂ = mm. D MPa
Beam AB is supported as shown in the figure. Tie rod (1) is attached at B and C with double shear pin connections, while the pin at A is attached with a single shear connection. The pins at A, B, and C each have an ultimate shear strength of 57 ksi, and tie rod (1) has a yield strength of 33 ksi. A concentrated load of P = 14 kips is applied to the beam as shown. A factor of safety of 2.4 is required for all components. Determine: (a) the minimum required diameter for tie rod (1). (b) the minimum required diameter for the double shear pins at B and C. (c) the minimum required diameter for the single shear pin at A. 6.7 8 in. 3.8ft (2) 8.5ft
The truss is loaded by concentrated forces as shown in the figure. Use E = 30 x 106 psi and A = 0.90 in² for all the members. Determine the deformation sustained by members CG and FG. 12 kips 14 kips 16 kips A B с 10 kips |-6R-|-6A 8 ft ļE 5 ft ——6 ft—6 ft--6 ft-
Consider the truss shown in (Figure 1). Set P₁ = 8 kN, P₂ = 10 kN, and P3 = 6 kN. Figure E ZA B C 3m P₁ P3 3m < 1 of 1 P₂ -3m- 3m D. ✓ Correct ▼ Part D Determine the force in member BF of the truss and state if this member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. FBF = 7.67 HA kN Submit Previous Answers Request Answer ? Review * Incorrect; Try Again; 5 attempts remaining
For the truss shown in Figure 2.3b, determine the force in member KP if x = 5 m, y = 7 m and P = 7.94 kN. Indicate whether the member is in tension or compression. (Note: Use negative sign (-) if the member is in compression.) 7 panels at x m = 7x m В J D K L y F A х М N H G P P kN P kN
Problem 2: Determine the force in ALL the members of the truss. State if the members are in tension or compression. Show all your work to receive full credit. (Hint: It is not needed to find the reaction forces at C and E if you use the Method of Joints). Note: P1= 1000 lb and P: = 500 lb B C30 45 999 4 ft E 550 D. -4 ft- - 4 ft- 999 299

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