в -6 m 3 m

Q: R17-7. The steel pipe is fixed supported at its ends. If it is 4 m long and has an outer diameter of…

A: Critical load for buckling is given by For both end fixed Effective length is L/2 Internal diameter…

Q: The members of the truss are assumed to be pin connected. If member BD is an A992 steel rod of…

A: Given data as per the question The diameter of steel rod = 2 in   Drawing free body diagram of ABC

Q: 17-51. The wood column is fixed at its base and free at its top. Determine the load P that can be…

A: For buckling Where  is effective length For one end fixed and other free  is Moment of Inertia…

Q: The car bumper is made of polycarbonate-polybutylene terephthalate. If E = 2.0 GPa, determine the…

A: Given data: Young’s modulus, E = 2GPa Moment of inertia, I = 300 X 106 mm4 Springs stiffness, ksp =…

Q: 17-17. The W250 × 67 is made of A992 steel and is used as a column that has a length of 4.55 m. If…

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Q: The W8 * 15 wide-flange A992 steel column is fixed at its top and bottom. If it supports end moments…

A: Write the section properties of W8X15. Write the properties of A992 steel.

Q: Determine the critical buckling load for the column. The material can be assumed rigid.

A: Given data Length of the column is L Stiffness of the spring is k To determinet the critical…

Q: The wide-flange A992 steel column has the cross section shown. If it is fixed at the bottom and free…

A: Write the expression of the area of the cross-section of the beam. Write the expression of the…

Q: 17-31. The A-36 steel bar AB has a square cross section. If it is pin connected at its ends,…

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

Q: Q2 / The boom is intended to support two vertical loads, F, and F2. If the cable CB can sustain a…

A: Given data: -  The angle of AB is θ = 30o. The force F1 is F1 = F2. The length of AB is x = 1.5 m.…

Q: Determine the horizontal displacement of joint C of the truss. Each A992 steel member has a…

A: Free body diagram of point B using methods of joints   where TBC & TBA are unknown tensions

Q: 17-50. The aluminum rod is fixed at its base and free and at its top. If the length of the rod is L…

A: The column is acted upon by an axially eccentric load because of which bending and direct axial…

Q: Determine the maximum force P that can be applied to the handle so that the A992 steel control rod…

A: for the given figure  the FBD of rod OC will be  Balancing moment about O F*2 = P*3 F = 1.5P the…

Q: Determine the horizontal displacement of joint B of the truss. Each A992 steel member has a…

A: The deflection of the end B will be solved by using equation developed from virtual work. Step 1: A…

Q: F17-3. The A992 steel column can be considered pinned at its top and bottom and braced against its…

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Q: The truss is made from A992 steel bars, each of which has a circular cross section with a diameter…

A: The given problem will be solved by calculating the force in every member of the given truss. Then…

Q: The 2014 T6 aluminum strut is foced between the two walls at A andB. It has a 2 in. by 2 in. square…

A: Given data T1 = 22 lb-ft T2 = 42 lb-ft Area of cross section = 2 in X 2 in

Q: The A992 steel column can be considered pinned at its top and bottom and braced against its weak…

A: Given Data: The factor of safety of the structure is: FS = 2 The area of the column is: A= 7.4 X…

Q: The car bumper is made of polycarbonate-polybutylene terephthalate. If E = 2.0 GPa, determine the…

A: Given data: Modulus of elasticity, E = 2 GPa. The velocity of the car, v = 0.75 m/s. The mass of…

Q: The linkage is made of three pin-connected A992 steel members, each having a diameter of 11 4 in.…

A: Write the properties of A992 steel. Draw the free-body diagram of the structure.

Q: The 10-ft wooden column has the dimensions shown. Determine the critical load if the bottom is fixed…

A: Consider the given cross-section of the column. From the figure, the cross-section of the column is…

Q: Q2 / The boom is intended to support two vertical loads, F, and F2. If the cable CB can sustain a…

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Q: The ideal column is subjected to the force F at its midpoint and the axial load P. Determine the…

A: Draw a diagram to show the reactions at the supports. Here Ax, Ay, and By are the reactions at the…

Q: The pipe can be assumed roller supported at its ends and by a rigid saddle C at its center. The…

A: Free-body diagram of a pipe is given as, On using equilibrium of force in a vertical direction,…

Q: 9.49. If the gap between C and the rigid wall at D is initially 0.15 mm, determine the support…

A: Given Data: The applied load is P = 200 kN. The gap between wall and D is x = 0.15 mm. Dimensions…

Q: 17-63. The brass rod is fixed at one end and free at the other end. If the length of the rod is L =…

A: The moment of inertia of the rod is written as, I=π64d4=π64100 mm×1 m1000 mm4=4.9×10-6 m4   The…

Q: The A992 steel bars are pin connected to the rigid member. If the applied load is 15 kN, determine…

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Q: The weight of 175 lb, is dropped from a height of 4 ft from the top of the A992 steel beam.…

A: Deflection beam ∆beam=PL348EI Therefore stiffness of the beam…

Q: The W14 * 53 column is ixed at its base and free at its top. Determine the maximum eccentric load P…

A: Given data: The young’s modulus, E = 29 × 103ksi. The yield stress, σy = 50 ksi. The length of the…

Q: The 2014-T6 aluminium rod has a diameter of 30 mm and supports the load shown where d = 2.25 m. C. 8…

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Q: The W12 * 50 is made of A992 steel and is used as a column that has a length of 20 ft. If its ends…

A: Write the given data: Write the properties of the given material.

Q: Determine the maximum force P that can be supported by the assembly without causing member AC to…

A: Give data: The diameter of the member is 2 in. The factor of safety. S = 2. Calculate the angle…

Q: The composite aluminum 2014-T6 bar is made from two segments having diameters of 7.5 mm and 15 mm.…

A: Given: D1= 7.5 mm D2=15 mm m= 10 kg h=100 mm To determine: maximum axial stress developed in the bar

Q: The rigid beam rests in the horizontal position on two 2014-T6 aluminum cylinders having the…

A: Given: d= 30 mm P=80 kN νall=0.35 To determine: x so that beam AB remains horizontal New diameter…

Q: Determine the vertical displacement of joint D. The truss is made from A992 steel rods having a…

A: Given: Diameter of the steel rod is D=30 mm Drawing the free body diagram of the given body

Q: The A992 steel bars are pin connected at C and D. If they each have the same rectangular…

A: Structure is in equilibrium so  we can apply equilibrium condition. ∑nFY=0 ; RA+RE-500=0 ;RA+RE=500…

Q: The weight of 175 lb is dropped from a height of 4 ft from the top of the A992 steel beam. Determine…

A: Write the properties of the given beam. Write the expression for the stiffness of the beam and…

Q: The W8 * 15 wide-flange A992 steel column is fixed at its top and bottom. If it supports end moments…

A: From the above given materialW18×15 we get the following propertiesA=4.44 in2d=8.11 inIX=48…

Q: Determine the reaction at the roller support and the deflec-tion at point D if a is equal to L/3.

A: Given: Propped cantilever beam as shown in figure To determine: Reaction at the roller support…

Q: Determine the vertical displacement of joint C of the truss. Each A992 steel member has a…

A: Understand the forces in each member of the truss is as shown in the figure below.

Q: 17-35. The W360 × 45 is used as a structural A-36 steel column that can be assumed pinned at both of…

A: The length of the column is L=7.5 m=7.5 m×1000 mmm=7500 mm.

Q: Determine the horizontal displacement of joint B of the truss. Each A992 steel member has a…

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Q: 10' o C 30 10' 2000lb 5' A -30-

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Q: R17-10. The wide-flange A992 steel column has the cross section shown. If it is fixed at the bottom…

A: The load acting on the point A is P=10 kN. The factor of safety is 3.    Standard Value- The modulus…

Q: The 50-mm-diameter C86100 bronze rod is fixed supported at A and has a gap of 2 mm from the wall at…

A: Given The length of the rod is L=1 m. The gap between wall and rod is ∆L=2 mm. The diameter of the…

Q: F17-5. Determine the maximum force P that can be supported by the assembly without causing member AC…

A: The length of hypotonus is AB=0.92+1.22=1.5 m Take the forces in y direction FAB0.91.5=PFAB=1.667P…

Q: c) The rigid beam rests in the horizontal position on two 2014-T6 aluminum cylinders having the…

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Q: 17-58. The wood column is fixed at its base and can be as- sumed fixed connected at its top.…

A: Given data: The modulus of elasticity, E = 12 GPa. The yield stress, σy = 56 MPa. The length of the…

Q: An A992 steel W200 x 46 column of length 9 m is fixed at one end and free at its other end.…

A: Given data: Column specification = A992 steel W200×46                     Length of column = 9 m…

Q: An A992 steel W200 * 46 column of length 9 m is fixed at one end and free at its other end.…

A: Given Data: The length of the column is, L=9 m. The factor of safety against buckling is, FS=2.…

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.