Use VIRTUAL WORK METHOD to answer the questions below considering the truss shown in the figure. Assume A= 1200 mm2 , E = 200 GPa , and α = 12x10-6/°C. - Axial Foce Memeber on ED choices: -10.87 , -9.64 , -0.18, 16.78 , 2.1, -5.88, 11.18, 14.25 - Absolute Value of Axial Force on member AE choices: 3.265, 2.236, 7.811, 6.682, 0.741, 0.362, 1.286, 6.981 - Vertical Displacement of Joint A in mm due to external force only.  choices: 0.888, -0.619, 0.621, 0.322, -0.887, -0.322, -0.887, -0.322, -0.184, 0.895

Q: A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional…

A: each member cross sectional area =-2.4 in2a=3.50 ftb=4.20 ftNormal stress in each member not exceed…

Q: For the truss shown, determine the maximum axial stress experienced. 2.5P В 30° 1.5P 4m 45% A

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Q: Situation 41, 42 and 43 20 MPa 80 MPa 80 MPa 20 MPa O Zoom image Determine the normal stress along…

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Q: 6. A truss ABC is subjected to a load F=10KN at pin D. The outside and inside diameters of bar AB…

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Q: The internal shear force V at a certain section of an aluminum beam is 8.5 kN. If the beam has the…

A: Given data,  V = 8.5 kN a = 32 mm bf = 65 mm tw = tf = 7 mm d = 89 mm

Q: Compute the vertical displacement of joints Band C for the frame shown in the figure. Given: /= 360…

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Q: The d = 13-mm-diameter solid rod passes through a D = 18-mm-diameter hole in the support plate. When…

A: Solution attached below

Q: Two vertical forces are applied to a beam of the cross-section shown. Determine the maximum…

A: Given Data: a = 7.5 m b = 4.2 m

Q: 1. A rectangular reinforced concrete beam with width of 300mm and effective depth of 600mm is…

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Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.0 in., b = 4.5 in., d = 4.0…

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Q: PROBLEM 2) The rigid bar ABC shown is hinged at A and supported by a steel rod at B. 8) Determine…

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Q: A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional…

A: Cross sectional area,  Normal stress, To find: The maximum load that suppported by the structure.

Q: The number of significant digits is set to 3. The tolerance is +-1 in the 3rd significant digit.…

A: Answer Let us first draw the free body diagram and calculate the angle of BE and CE with horizontal…

Q: Determine maximum shear stress

A: Given data : Maximum principal stress σP1=32 MPaMinimum principal stress σP2=-28 MPa

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

A: Given :

Q: The longitudinal movement of the long prism with E = 150 GPa and v=0.3 shown in figure (a) is…

A: εz=σzE-μσXE-μσYE0=σz150×103-0.350150×103-0.380150×103σz=39MPaεX=σXE-μσZE-μσYE=50150×103-0.339150×103…

Q: 100 mm Q.2) The right figure show the cantilever beam and loading, while the left figure show the…

A: Solution:- 1. Shear stress in the beam:

Q: The state of plane-stress at a point is given by ox = -200 MPa, oy = 100 MPa and Tyy = 100 MPa. The…

A: Given: σx=-200 MPaσy=100 MPaτxy=100 MPa

Q: Find the normal stress of members CD and CE of the truss shown. Cross sectional area of the members…

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Q: If a moment, M=10 ft-kips, is applied to the cross-section about its strong axis, what is the…

A: solve question part g and h, all require data such as depth of neutral axix and moment of inertia…

Q: 2. Find P to cause a maximum bending stress of 10MPA 3KN/m 400mm 120mm 4m 1m B.

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Q: The state of plane-stress at a point is given by ox = -200 MPa, oy = 100 MPa and Tyy = 100 MPa. Oy…

A: Given: σx=-200 MPa σy=100 MPa τxy=100 MPa

Q: Use Method of Consistent of Consistent Deformation to solve the horizontal reaction at D in kN of…

A: a = 40KN b = 22KN

Q: Determine the force in member CD of the truss shown using the method of consistent deformations. -…

A: Given Data -

Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.8 in., b = 6.2 in., d = 4.0…

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Q: The internal shear force V at a certain section of an aluminum beam is 8.2 kN. If the beam has the…

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Q: The cross-sectional dimensions of the beam shown in the figure area = 5.0 in., b= 6.9 in, d= 4.0…

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Q: The pin connected frame shown in the figure supports the loadsQ = 5kN and P = 10kN. Determine, for a…

A: To find out the normal stress at bar CE and shearing stress at pin D and E for double shear.

Q: 2. Determine the largest load P that can be applied to the frame without causing either the average…

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Q: Analyze the freme shown using consistent- deformation method ( assume redundants are Cx and Cy) El…

A: draw the free body diagram

Q: The internal shear force V at a certain section of an aluminum beam is 8.6 kN. If the beam has the…

A: Shear force (V) = 8.6 KN  Determine a. Shear stress at point H which is 37mm above the bottom…

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

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Q: Draw Mohr's circle and find: 1) Principle stresses and their direction. 2) Maximum Shear stress and…

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Q: The cantilever beam is subjected to a concentrated load P. The cross-sectional dimensions of the…

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Q: Question 1. The plane NN' makes an angle 0-30" with respect to the cross section of theprismatic bar…

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Q: Use method of consistent of consistent deformation to solve the horizontal displacement of joint D…

A: a = 40KN b = 22KN

Q: The internal shear force V at a certain section of an aluminum beam is 10.2 kN. If the beam has the…

A: Given Data Width of flange = 69mm thickness of flange = 4mm Depth of beam = 72 mm Height of web =…

Q: 4. Determine the required cross-sectional area needed for member BC and CF if the allowable stress…

A: Given data in question  Load 20 and 40 kN Stress 40 and 50 MPa Dimensions  To find out  Area

Q: Required information Consider the beam and loading shown. If a=8 in, b=9.0 in, c=1 in. For a section…

A: Draw the free-body diagram of the beam.

Q: Determine the moment M that should be applied to the beam in order to create a compressive stress at…

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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.