Consider the truss structure with a load of P= 35.4 kN applied at joint C. All the members of the truss are made up of steel having modulus of elasticity E= 210 GPa. The cross-sectional area of each member of the truss is also indicated in the figure. What is the magnitude of the horizontal displacement of joint C in mm? Take AD=3m, AB=4m.
Q: 2- Determine the total deformation between points A and D of a stepped steel bar subjected to the…
A:
Q: An axial load P is supported by the short steel column shown in the figure. The column has a…
A: Given that, Axial load = P Cross-sectional area of column = Acolumn=13,300 mm2 Allowable average…
Q: Consider the truss structure with a load of P= 35.4 kN applied at joint C. All the members of the…
A:
Q: For a homogeneous cylindrical member of length L, shown in the figure, determine the total…
A:
Q: 1) A structure shown below is loaded with 100 kN at point E. Member AE is rigid and orizontal before…
A: Given Data Modulus of elasticity is : E=75 GPa Diameter of bar is : d=30 mm Stiffness constant is :…
Q: A horizontal load Pis applied to an assembly consisting of two inclined bars, as shown in the…
A: According to Bartleby guidelines, we are allowed to solve only the first 3 sub-part of a single…
Q: Determine the maximum concentrated vertical load P that can act on the top of the pillar of the…
A: The axial load which permits a member to execute lateral deflection(i.e., deflection perpendicular…
Q: A simplified critical stress plot is shown using Euler's formula is shown in the figure below.…
A: Given data: ◆ The length of the column: L = 0.8 m = 800 mm ◆ The load applied on the column: P = 300…
Q: B L A tube is loaded eccentrically as shown in figure. The tube has 89 mm outer diameter and 7 mm…
A: Given, Outer diameter of tube = do = 89 mm = 0.089 m Thickness of tube = t = 7 mm = 0.007 m Inner…
Q: A rectangular piece of wood, 50 mm x 100 mm in cross-section is used as a compression block as shown…
A: Consider a rectangular section Having area A subjected to a compressive load P. This Block will be…
Q: Determine the largest value of the load parameter P that can be applied to the trusses shown in Fig.…
A: Given: The elastic modulus, E = 200 GPa The cross-sectional area, A = 14.6 mm2 The moment of…
Q: Three solid cylindrical rods are welded together to form the compound axial member shown in the…
A: This question is related to solid mechanics. deformation is defined as the extension or compression…
Q: Problem: A viewing platform in a wild- G animal park, as shown in figure, is supported by a row of…
A:
Q: Q:The circular spiral column AB shown in Figure, is a part of braced frame and has a diameter of…
A: Given dataDiameter of circular column d = 420mmConcentric load P1 = 210kN nad Pd = 120kNEccentric…
Q: 4. Given a 1D elasticity problem shown in (a) of the figure below. The bar is constrained at both…
A: Given Databar are constraints at both endsA-CA=0.1m2B-CA=0.05x-2m2E=2×107N/m2b=5N/mFor udlP=5×1=5N
Q: The upper deck of a footballs stadium is supported by braces, each of which transfers a load P = 700…
A:
Q: A steel bar of cross section 500 mm2 is acted 45 kN upon by the forces shown in Figure. Determine…
A:
Q: A horizontal load Pis applied to an assembly consisting of two inclined bars, as shown in the…
A:
Q: Q1) A structure shown below is loaded with 100 kN at point E. Member AE is rigid and horizontal…
A: Given data: The load acting on the point E is 100 KN The modulus of elasticity of the aluminum bar…
Q: The given system below, consisting of a rigid horizontal bar ABC and supported by three vertical…
A: Given data: - The diameter of rod B is DB = 26 mm. The length of rod B is LB = 4400 mm. The…
Q: An aluminum tube AB with a circular crosssection has a sliding support at the base and is pinnedat…
A:
Q: The figure below shows the cross section of a steel rectangular tube, of uniform thickness t= 25 mm,…
A:
Q: Rigid bar ABC is supported with a pin at A and an elastic steel rod at C. The elastic rod has a…
A: Consider below FBD for the given question: Here, A-C-B = Original bar AB A-C'-B' = Deformed bar AB…
Q: The rigid bar in (Figure 1) is pinned at A and supported by two aluminum rods, each having a…
A:
Q: Two identical trusses support a load of 100 N as shown in the figure. The length of each truss is…
A:
Q: A rectangular column with cross-sectional dimensions b and h is pin-supported at ends A and C (see…
A: Draw the diagram of the cross-section X-X. Here, the axes x-x and y-y are as shown in the figure.…
Q: Determine the total deformation of the steel rod shown in figure under the given loads. Take the…
A:
Q: A sign for an automobile service station is supported by two aluminum poles of hollow circular cross…
A:
Q: Q3. Two bars of rectangular cross section (thickness t=15 mm) are connected by a bolt in the manner…
A: Given : P = 31 KN thickness, t of the base = 15mm Allowable shear stress in bolt ζAllow = 90 MPa…
Q: Determine the allowable axial load Pallowfor a steel pipe column that is fixed at the base andfree…
A: Since the column is long as compared to the cross-sectional area, thus there is a possibility of the…
Q: Question 9 A horizontal bar ABis supported by a pinned-end column CD as shown in the figure. The…
A: Write the given values using suitable variables. Here E signifies Young’s modulus, L signifies…
Q: Referring to the structural members of truss in the figure, determine the internal axial stress of…
A:
Q: A rectangular column with cross-sectionaldimensions b and h is pin-supported at ends A and C(see…
A: Cross-Sectional Dimensions b and h pin supported at A and CAB=L2BC=L2
Q: The concrete post shown in below figure is reinforced with four symmetrically placed steel bars,…
A:
Q: 6. Determine the largest weight W that can be supported safely by the structure shown in the figure.…
A: Given:σAB=16,000 psiσBC=760 psiAAB=0.5 in2ABC=16 in2
Q: PROBLEM 1. The dimensions of a bar made of a 2024-T6 aluminum alloy and the loads acting on it are…
A: EA1= 73*109pa Let AB is part 1 and BC is part 2 Considering factor of safety 1.5 load acting is…
Q: The truss shown in the figure below is made of three A-36 steel members (E=200 GPa), each having a…
A: Given:
Q: Rigid bar BC is supported by aluminum rod (1) and bronze rod (2), as shown in the figure. Aluminum…
A: Rods will be subjected to tensile or compressive forces which will act along the axis of the rods.…
Q: The cross - sectional area of an aluminum bar is 170 mm?. It carries an axial load at the positions…
A:
Q: A column has a fixed support at both ends. If the dimensions of the column section are as given in…
A: Given- Fixed support at both ends; L=7 m = 7000 mm E=200 GPa = 2 x 105 MPa
Q: The aluminum bar ABC has a cross-sectional area of 20 mm2 is supported by a pin at A and a steel…
A: Given that, Cross-section of aluminum bar, A=20 mm2Force applied at C, P=50 kN,Cross-sectional area…
Q: (15) The figure shows the free-body diagram of a connecting-link portion having stress concentration…
A:
Q: 1. A steel bar of cross section 500 mm is acted upon by the forces shown in the figure. Determine…
A:
Q: In the system in the figure, two rods carry the P force. a) Since the maximum stress that the rods…
A:
Q: An axial load P is supported by the short steel column shown in the figure. The column has a…
A: Given:A=14,300 mm2σs=73 MPaσb=9 MPab=435 MPa
Q: Consider two members having the same area and modulus of elasticity which is equal to 239 GPa that…
A:
Q: An axial load P is supported by the short steel column shown in the figure. The column…
A:
Q: A sign for an automobile service station is supported by two aluminum poles of hollow circular cross…
A: here we have to solve this, The resist a wind pressure (P)=75 lbft2 The height…
Q: Rod A has a cross-sectional area of 2 in^2 and a modulus of elasticity of 10E6 psi. Rod B has a…
A:
Thanks a lot:)
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images
- A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a W8 x 35 wide-flange member (sec figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e = 1.25 in. If P = 40 kips, what is the maximum compressive stress in the column? If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?Slender column ABC is supported at A and C and is subjected to axial load P. Lateral support is provided at mid-height if but only in the plane of the figure; lateral support perpendicular to the plane of the figure is provided only at ends A and C. The column is a steel W shape with modulus of elasticity E = 200 GPa and proportional limit pl= 400 MPa. The total length of the column L = 9 m. If the al low-able load is 150 kN and the factor of safety is 2.5, determine the lightest W 200 section that can be used for the column. (See Table F-l(b), Appendix F).AW310 × 74 wide-flange steel column with length L = 3.8 m is fixed at the base and free at the top (see figure). The load P acting on the column is intended to be centrally applied, but because of unavoidable discrepancies in construction, an eccentricity ratio of 0.25 is specified. Also, the following data are supplied: E = 200 GPa, y = 290 MPa, and P = 310 kN. What is the maximum compressive stress max in the column? What is the factor of safety n with respect to yielding of the steel?
- The figure shows an idealized structure consisting of rigid bars ABC And DEF joined by a linearly elastic spring ß between C and D. The structure is also supported by translational elastic support ß at B and rotational elastic support ßRat E. Determine the critical load Pcrfor the structure.A steel column (E = 30 x 103 ksi) with pinned ends is constructed of a W10 x 60 wide-flange shape (sec figure). The column is 24 ft long. The resultant of the axial loads acting on the column is a force P acting with an eccentricity n = 2.0 in. If P = 120 kips, determine the maximum compressive stress ff^ in the column. Determine the allowable load Pallowif the yield stress is ( y =42 ksi and the factor of safety with respect to yielding of the material is n = 2.5.Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
- A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.The symmetric truss ABCDE shown in the figure is constructed of four bars and supports a load P at joint E. Each of the two outer bars has a cross-sectional area of 0.307 in2, and each of the two inner bars has an area of 0.601 in2. The material is elastoplastic with yield stress ??Y= 36 ksi. Determine the plastic load PP.A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?
- A W14 × 53 wide-flange column of a length L = 15 ft is fixed at the base and free at the top (see figure). The column supports a centrally applied load = 120 kips and a load P2= 40 kips supported on a bracket. The distance from the centroid of the column to the load P2is s = 12 in. Also, the modulus of elasticity is E = 29,000 ksi, and the yield stress is y= 36 ksi. Calculate the maximum compressive stress in the column, Determine the factor of safety with respect to yielding.A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).A copper bar with a square cross section is inserted into a square rigid tube as shown in the figure. The length of the copper bar is 1.2 m and the area of the cross section is 300 mm2. The bar is subjected to a force P that applies a uniformly distributed pressure to the copper. Calculate the force P if the longitudinal displacement of the bar is 2 mm. Assume that the modulus of elasticity of the bar is E = 110 GPa and Poisson’s ratio is v = 0.33. Disregard friction between the copper and the rigid tube.