217. As shown in Fig. P-217, two aluminum rods AB and BChinged to rigid supports, are pinned together at B to carry a verticalstress20 kN. If each rod has a cross-sectional area of 400 mm² andload PE = 70 x 10 MN/m, compute the elongation of each rod and thehorizontal and vertical displacements of point B. Assume a =0 = 30°.%3Dafter%3D30° andAns. 8, 0.412 mm; 8, = 3.57 mm%3Dwheareindthe3.tonediL = 3 mstaL = 2 mP.Flgures P-217 and P-218.E L

217. As shown in Fig. P-217, two aluminum rods AB and Rc hinged to rigid supports, are pinned together at B to carry a vertical stres 20 kN. If each rod has a cross-sectional area of 400 mm2 and load P E = 70 x 10 MN/m², compute the elongation of each rod and the horizontal and vertical displacements of point B. Assume a = 0 = 30°. after %3D %3D 30° and Ans. 8 0.412 mm; 8, = 3.57 mm whe %3D %3D are ind the to ne di L = 3 m st a L= 2 m %3D CE Flgures P-217 and P-218.

217. As shown in Fig. P-217, two aluminum rods AB and Rc hinged to rigid supports, are pinned together at B to carry a vertical stres 20 kN. If each rod has a cross-sectional area of 400 mm2 and load P E = 70 x 10 MN/m², compute the elongation of each rod and the horizontal and vertical displacements of point B. Assume a = 0 = 30°. after %3D %3D 30° and Ans. 8 0.412 mm; 8, = 3.57 mm whe %3D %3D are ind the to ne di L = 3 m st a L= 2 m %3D CE Flgures P-217 and P-218.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 2 m 2 m A Determine C1. * 54 -72 72 Determine C2* O 148.4444 -130.6667 0. -197.3333 Find h.* O…

Q: Determine the internal forces at point J for the structure shown, where member BD can only carry…

A: Given:- a=160 mmP=450 N To find:- Internal force at point J

Q: The bar AB is attached to aluminum and steel rods, horizontal before the load P is applied. Find the…

Q: 14 kips. Consider only flexural deformations. | A B 7'-

Q: Determine the member force of the truss shown in Figure Q6 by the force method. 1.5 m 20 kN. +2m 50…

Q: 1. The frame is subjected to temperature change, loads and its support B has a movement a shown in…

A: Consider the given data t1=-10oC , t2=30oCα=10-5 h=0.5 m As the given data is not…

Q: Construct the reduced stiffness matrix of the shown truss, Fig. 3.Then determine the nodal…

A: Solution;

Q: Situation 3: The rigid bar ABC has a weight of 2 kN (acting on the mid-span) shown in Figure, is…

A: Coefficient of thermal expansion = 11.7 × 10-6 /°C Determinea. Axial stress in steel rod b. Vertical…

Q: The truss structure (all members have the same area) carry the loading shown (P = 150 kN) Determine…

Q: figure this problem

Q: F 4 m 2 m 1.5 m 2.5 m 2 m 1 m 0.5 m B The assembly above consists of straight members forming a…

A: Given that: Unit vectors for members AC and AD: uAC=0.707i-0.707j…

Q: Using the virtual work method, determine the vertical displacement of joint Cof the steel truss…

Q: For the truss in figure below, the cross-sectional area of the truss members is A=500 mm² and…

A: A truss is given, we need to find out the strain energy.*Note: As per Bartleby's guidelines we are…

Q: Q/ Using the method of consistent deformation, find support reaction of the frame shown; assume EI=…

A: Of Reactions at Supports using method of consistent deformation or force method of Analysis Hence…

Q: Activity 3: Determine the total displacement at joint C of the truss shown below. Numbers enclosed…

Q: 3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the…

A: Given E=70GPa A=100 mm2 To Find Vertical displacement at A and E

Q: 3. Rigid member ABD is connected to elastic member CDE as shown. Fo the given loading, what are the…

A: Given Data: E=70 GPa=70×103 N/mm2A=100 mm2CD=0.4m=0.4×1000=400 mm2DE=0.2=0.2×1000=200 mm2

Q: When force 2P is applied to the rigid arm ABC, point B displaces vertically downward through a…

A: Given data in question Load 2PSpan 800 mmLength of CD 400 mmDisplacement at B 0.5 mmTo find out…

Q: 6 KN 6 KN 6 KN Im 3 kN 3 kN L6 m 2m 2m G 2m

Q: The structure shown is supported by a steel rod at B. Specifications of the steel rod L= 2m…

A: Data given: Specifications of the steel rod L= 2m d=25 mm E=200 GPa Asked: 1. Draw the shear force…

Q: The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and…

A: Given : Modulus of elasticity of Aluminum E = 70 GPa Cross sectional area of link AB= 500 mm2…

Q: We are given the statically indeterminate structure in Fig. 1, with a degree of indeterminacy of 2.…

Q: Question 2: Two-pinned connected bars supported the rigid member BC as shown. A vertical load of 25…

A: Stresses in both the bar is same.Determine the distance x.

Q: Figure 1 shows a pin-connected truss system with pin supports at points A and B. Member AC has an…

A: First of all calculate the forces in member in terms of F Then calculate the stress in members…

Q: Q.4) A pipe assembly is acted on by four forces and one couple moment. The 300 N force is parallel…

Q: QUESTION 2 Determine the force in member CD using method of section of the truss shown if: P= 522 Kn…

A: A truss is shown in fig. and it has been asked to determine the force in member CD using method of…

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

217. As shown in Fig. P-217, two aluminum rods AB and BC
hinged to rigid supports, are pinned together at B to carry a vertical
stress
20 kN. If each rod has a cross-sectional area of 400 mm² and
load P
E = 70 x 10 MN/m, compute the elongation of each rod and the
horizontal and vertical displacements of point B. Assume a =
0 = 30°.
%3D
after
%3D
30° and
Ans. 8, 0.412 mm; 8, = 3.57 mm
%3D
whe
are
ind
the
3.
to
ne
di
L = 3 m
st
a
L = 2 m
P.
Flgures P-217 and P-218.
E L

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

In figure shown the cross-sectional area of BD and CE is 2 mm?, E = 210 GPa, L = 350 mm, L2 = 200 mm, a = 300 mm, b = 400 mm and c = 250 mm. a. Determine the deflection of end A of the rigid member ABC caused by the P = 600 N load. b. Determine the maximum value of P if the allowable deflection at A is 2.5 mm and the allowable stresses of the rods is 120 MPa. L2 b.
Question 3 Determine the deflections in horizontal and vertical directions at point C and the reactions at supports A and B of the truss shown in Figure (3) using the stiffness method. Take E = 210 GPa and A = 170 mm² for all members. 24 KN 3.00 m 4.00 m Figure (3) C B 18 KN
SHOW SOLUTION AND ILLUSTRATION
1. A Using E = 100 GPA. IN.A. = 1,500 x 10 mm², compute the SUPPORT REACTIONS of the loaded beam shown when: a. supports are unyielding. b. support at the midspan yields 4 mm. 4m 60 KN/m B 2m www 10 KN C D 2m
Determine the forces in all bars of the truss shown in the given figure. Indicate tension or compression. Given: X= 23 kN. − 4 m—|▬▬ 4 m—| H B G XKN 8m →-|▬▬ 4 m―|▬▬▬ 4 m -| с 30 kN E D 6 m
Part C
3m >600KN 400KN 4m AE=1x10^6KN Analyze the given structure using Virtual Work Method Determine the displacement at point B
The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has cross- sectional area A2= 1260 mm? and length L2 = 250 mm. Loads Pg and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions RA and Rp at the fixed supports. (b) Determine the compressive axial force FBC in the middle segment of the bar. A1 - A2 A1 PB Pc A D B L -L1
7) The load P is located midway between points B and C. P = 1.7 kN. The diameter of the rod at CE is 4.8 mm. The young's modulus of the rod metal = 200 GPa. What is the elongation of the rod CE? 600 mm IB 600 mm 600 mm Elongation of rod EC = units
9. A single horizontal force P of magnitude 900N is applied to end D of lever ABD shown in the figure below. Knowing that portion AB of the lever has a diameter 36mm, determine a) the normal and shearing stresses on an element located at point H and having sides parallel to the x and y axes, b) the principal planes and the principal stresses at point H. 300 mm 120 mm y B H A 540 mm 36 mm P D
2. The hinge support at A and steel rod at B support the horizontal rigid bar (neglect the weight of the bar) as shown. Determine the maximum vertical force P that can be applied at the end of the bar at C if the allowable stress in the steel rod is 35 ksi and the vertical displacement at C is limited to 0.12 in. Use 2 decimal places. (25 pts) steel L = 4 ft A = 0.5 in? E = 29 × 10° psi P =? A B C 3 ft 2 ft