igure 2 depicts a structural frame with pin connection at A and D. Find the bending train energy in member AB and CD, and the axial strain energy in member BC. Cross- ectional area A, elastic modulus E and second moment of area I are constants. 800 N B 4 m EI EI 2EI 5 m

igure 2 depicts a structural frame with pin connection at A and D. Find the bending train energy in member AB and CD, and the axial strain energy in member BC. Cross- ectional area A, elastic modulus E and second moment of area I are constants. 800 N B 4 m EI EI 2EI 5 m

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: 1.Determine the maximum compressive stress acting on the cross section. 2.Determine the maximum…

Q: 8. The state of stress at a point in a member is shown on the element. Determine the absolute normal…

Q: A solid circular bar is fixed at point A. The bar is subjected to transverse load V = 185 N and…

A: Given data:- The given force, V=185 N The given torqueT=2.9 N-m The length L=1.5 m The given…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.1 in., b = 5.6 in., d = 5.0…

A: Determine (a) the maximum tension bending stress (a positive number) in the beam. (b) the maximum…

Q: A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has…

A: Given: Length, L = 300 mm Force, F = 414 N Modulus of Elasticity, E = 2 x 105 N/mm2 Moment of…

Q: A plastic beam of square cross section 30 mm × 30 mm (see figure) is simply supported with span…

Q: The stresses acting on element A in the web of a train rail are found to be 'X (MPa)' tension in the…

A: solution of part (b) Given Data: δx=75 MPaδy=90 MPaτxy=40 MPaθ=10ο calculate the stresses δx acting…

Q: Mohr's Circle 9-7 933. For the state of stress shown in Fig. P-933, determine normal and shearing…

Q: A beam of flexural rigidity EI is fixed at A and supported by a linear spring of stiffness k = EI at…

Q: 1. A T-section beam that is subjected to a concentrated and a distributed load can be identified in…

Q: QUESTION 2. An oblique bending moment of M = 5 kN.m is applied on the cross-section of an aluminum…

A: Solm ⇒ * Nevtral axis orientation* A1=10×40 ⇒ 400 mm2 , x1=402 ⇒ 2c mm, y1 = 5 mm A2 = 50×10 ⇒ 500…

Q: C A D B 0.25 m 0.5 m 0.15 m

Q: 3. Two beams are supported as shown in the diagram below, each 150mm x 200mm x 4 meters. Beam CD is…

Q: P = 7 kN 10 mm 15 kN • m 10 mm 150 mm D В C 150 mm 1.0 m →* 1.0 m 1.0 m The simply supported beam is…

A: Given data P= 7 KN moment at B MB=15 KN-m Using ∑Fy=0 Va+Vb=7 KN Using ∑Md=0…

Q: Problem 5.9 A solid steel bar has a cross section of side b and is supported as shown. Knowing that…

A: To Determine Depth of the beam, b

Q: In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa element shown,…

Q: 85 In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa for an…

A: Calculate the change in length of diagonal AB?

Q: A flat bar of a width b = 60 mm and thicknesst = 10 mm is loaded in tension by a force P…

A: (a) Determine the pin diameter dmforwhich the load P is a maximum.(b)Determine the value of maximum…

Q: Find the north axis and the moment of the second area Find both the triangular axis and the moment…

A: The following is the given information. My = 240 N.m Mx = 380 N.m Thickness of bottom flange = 1…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.8 in., b = 6 in., d = 4.0…

A: Given data:

Q: The three member frame is subjected to the distributed load as shown in figure 1. Determine: a. Draw…

A: Given :

Q: 4. The cross-sectional dimensions of the beam shown in Figure are d = 5.0 in., br = 4.0 in., tr =…

A: Given:- d = 5.0 inches bf = 4.0 inches tf = 0.50 inches tw = 0.25 inches bending stress at point H…

Q: For the given state of stress, determine (a) the maximum principle stress (b) the maximum shearing…

Q: Installed appointment of a beam made of a U profile in the figure Find the length c of the overhangs…

Q: A beam under load experiences sagging with a maximum bending moment of 24 x 106 Nm. The beam has a…

A: Calculate the maximum tensile stress and the maximum compressive stress for this beam.

Q: A pin-connected structure is supported and loaded as shown. Member ABCD is rigid and is horizontal…

Q: 1. A steel bar has a uniform cross sectional area of 300mm². Calculate the stress at member AB. 1.6m…

A: Given data, Area = 300 mm² To find out the stress at AB.

Q: - Determine the reactions at supports A and B.

Q: An aluminum tube of outer diameter R, = 50 mm is heated such that it is mounted over a steel shaft…

Q: 85 In a pure shear condition, the maximum value of shear stress is observed to be 20 MPa for an…

Q: Draw the state of stress at point D on an infinite small element. Point D is located just to the…

A: Given :- By using the method of section and consider the FBD of the left cut segment.

Q: Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1)…

A: Strain is the result of a material's deformation due to stress. It's only a proportion of the length…

Q: The change in length of diagonal AB is un

Q: Mechanics of Deformable Bodies 80 N 200 mm 300 mm B The pipe shown in the figure has an inner…

A: Solution-The given data,Innerdiameter=80mmOuter diameter=100mm80N forcesTo Determine,The shear…

Q: A beam having a tee-shaped cross section is subjected to equal (12 kN.m) bending moments, as shown…

A: Given,bending moment(M)=12 KN-mcenteroid(y)=110 mm from the bottomMOI(Iz)=18646000 mm4…

Q: d1=60 mm and d2 =36 mm .Determine stress in rod in AB and BC

A: Given data : Diameter for rod AB (d1)=60 mmDiamter for rod BC (d2)=36 mmTo find about :Stress in…

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: W A L A Test beam Strain gauge (a) Unsymmetrical cantilever beam with weight applied at the free end…

A: The objective of the question is to calculate the location of the centroid, the second moments and…

Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

Figure 2 depicts a structural frame with pin connection at A and D. Find the bending
strain energy in member AB and CD, and the axial strain energy in member BC. Cross-
sectional area A, elastic modulus E and second moment of area I are constants.
800 N B
4 m
EI
EI
2EI
5 m
D
Figure 2

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 3 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

a force q of magnitude 3kips is applied to machine element AB. the uniform thickness of the element is 0.8. Determine the normal and shearing stresses at point A
Solve it correctly
Q/Using the method of consistent deformation, find support reaction of the frame shown; assume EI= constant. 10kN/m B A 5m C 3m
Figure Q1 shows a statically determinate plane truss subjected to a verticalconcentrated load at C and E. The truss is made using steel with Modulus of Elasticity is210 GPa, and the cross section area for all members are 30 mm2. Assuming P is the 10 and a is half of P, determine the vertical displacement at F. Thesolution can be based on Method of Conservation Energy or Method of Virtual Work.
1. A rigid bar AN is hinged at A and is supported by a rod CD at C. The rod is pin connected at D. Assume E = 200GPa.Determine a. Displacement of the loaded end B of the bar. b. Tensile stress induced in rod CD by the 80kN load c. The value of W that can be safely applied if the allowable stress in the rod is 124MPa. 1.8 m 2 m 36 mmg. 1.2 m B 80KN¹
Q- If the principle stresses in a two-dimensional case are - 10MPa and 20MPa respectively, then find the maximum shear stress at the point.
2) The rigid bar ABC is horizontal before the load Pis applied as shown in the figure. Determine the maximum safe value of P if the stress in the steel bar is limited to 300 MPa and the stress in copper bar is limited to 140 MPa. Use E = 200 GPa for steel and E 120 GPa for copper. Neglect the weight of the bar ABC. D copper bar. A=520mm? steel bar. A=320mm B 2.00m 1.00m 1.00m 1.00m 1.50m
3. b) The state of stress at a point is shown on the element. Using Mohr's cicle, determine The principal stresses; The maximum in-plane shear stresses; Sketch the orientation and state of stress of the element due to a) and b). 3 7 ksi 14 ksi 19 ksi
The wire BC has a diameter of 0.175 in. and the material has the stress-strain characteristics shown in the figure. Determine the vertical displacement of the handle at D if the pull at the grip is slowly increased and reaches a magnitude of (a) P= 480lb, (b) P= 700lb. Assume the bar is rigid.
The structure shown is supported by a steel rod at B. Specifications of the steel rod L= 2m d=25 mm E=200 GPa Show complete solutions 1. Draw the shear force and bending moment diagrams. 2. Determine the stress in the steel rod at B 3. Determine the deflection at A
2 0:0. 5.pdf → الامتحان اليومي الثاني )ميكانيك المواد I I( Q: For the state of stress shown in fig. below. Determine the principle stress and the max. shearing stress .show all results on complete sketches of differential element. 60 MPa 80 MPa 80 MPa 20 MPa 20 MPa 60 MPa ريفان
The internal shear force V at a certain section of an aluminum beam is 40 kN. The beam's centroid is located 54.40 mm above the bottom surface of the beam, and the moment of inertia is l₂ = 398,300 mm4. Determine the shear stress at point H, which is located 30 mm above the bottom surface of the beam. 30 mm 75 mm y H 5 mm 5 mm 75 mm