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: Determine stress in portion CD, BC, and in AB

A: FBD : For portion CD: For portion BC : Force in BC Portion=-45+30=-15 kips For portion CD : Force…

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

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Q: Example 6 Determine the support reactions on the frame shown. El is constant. 8 kN/m 5m Actual Frame…

A: The statically indeterminate frames are solved using the method of consistent deformation or Force…

Q: 2. Determine the shearing stress in each of the four walls of a portion of a structural aluminum…

A: Given, Torque =3 kN-m=26.55 kip-in Dimension=100×51 mm=3.93×2 in Wall thickness=4 mm=0.15 in.

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

A: Solution;

Q: Using finite element find :1.reaction and stress in all member | 文文 6m 6m 15.0 E-200 GPa D=0.05 m…

A: P=10kNThe diameter of the bar =0.05mE= 200 GP a.To find reaction forces and stresses in all members.

Q: Problem 2. The homogeneous wire ABCD is bent as shown and is attached to a hinge at C. Determine the…

A: Given:- To find:- Length L

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: I I 21 3m 5m 3.6m Use E = 200 GPa actor of joint A on member AB, DFAB [ Select ] Factor of joint B…

A: As there are multiple questions posted,according to the guidelines, only the first three are being…

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

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

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Q: Q.3 The static indeterminacy of two span continuous beam with internal hinge is Internal Hinge

A: Given data- Two-span continuous beam, Internal hinge is present in the beam, To Find- The value of…

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: Use virtual work method. Find vertical displacement of joint B in mm due to a -2 mm fabrication…

A: ###Find vertical displacement of joint B in mm due to a -2 mm fabrication error on members BE and…

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: B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given…

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Q: Develop the flexibility matrix for the beams with respect to the co-ordinates shown in figure. 21 2m…

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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: 4m TO 3m. Am 20KN +15KN Given: A=2500 mm² for all members E= 200 kN/mm? for all members Required:…

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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: Determine the horizontal displacement of joint C.  The length, L, of trusses AC, BC is 1,300 mm.…

A: EAC = 135 GPa = 135 × 103 N/mm2 EBC = 150 GPa = 150 × 103 N/mm2 AAC = ABC = 360 mm2 Determine the…

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

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Q: The cross-sectional dimensions of the beam shown in the figure are a = 4.0 in., b = 5.3 in., d = 4.5…

A: Given: The value of a is 4 in. The value of b is 5.3 in. The value of d is 4.5 in. The value of t is…

Q: 1. Use stiffness matrix to compute reactions at boundaries and element force considering the…

A: As per policy, the solution will be provided for the first question only. For the answer of the…

Q: Q2 / The cross sectional area of each member of the truss as shown in the figure below 1.75 in? and…

A: The cross-sectional area of each member(A)=1.75 in2, Modulus of elasticity(E)=29 x103 ksi, Load(P)=9…

Q: 2 包。

A: Consider 3 nodes 1 and 2 at both ends and 3 at internal hinge At each node take one displacement…

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

A: a = 40KN b = 22KN

Q: F y a What is the biggest Bending Stress? Beam is loaded the biggest bending moment is MB. Мв 3D 10…

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

A: Truss: Truss is a pin jointed structure which is subjected to vertical loading at the joint only and…

Q: The internal shear force V at a certain section of an aluminum beam is 11.4 kN. If the beam has the…

A: Using formula to find shear stress

Q: • Problem 14.1. Determine elastic curve of the solid circular shaft. The shaft is made of steel…

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Q: Example: Use the stiffness method to determine the reactions then draw the BMD for the shown beam.

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Q: 2-21. The corners of the square plate are given the displacements indicated. Determine the average…

A: A strain occurs when the length or shape of a body changes due to deformation. Strain is calculated…

Q: The cross-sectional dimensions of a beam are shown. The internal bending moment about the z…

A: Concept We will first calculate moment of inertia of given section and then using flexure equations…

Q: the bending safety stress σem = 10 MPa, shear safety stress Tem = 600 kPa of the rectangular section…

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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.