3. Column ABC has a uniform rectangular midpoint C is shown Figure Q3(a). Gi mm and E=70 GPa, determine the ratio huolli
Q: P2 P1 a La
A:
Q: The overhanging beam is supported by a pin at A and the two-force strut BC as shown in Figure Q4.1.…
A: Draw the FBD of the given question and find the angle between the horizontal line and the member BC.
Q: There is a maximum height of a uniform vertical column made of any material that can support itself…
A: Given data Density of steel: ρs = 7.8 × 103 kg/m3 Density of granite: ρg = 7.8 × 103 kg/m3 If the…
Q: A 540-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…
A: Part aCentre of gravity of rectangular sign board lies at6-2= 4mCentre of gravity of rod lies at6-3=…
Q: Calculate the internal reactions for the member along section M-M shown in the Figure. 6 lb/ft 9 ft…
A: Since the end A is knife edge supported thus there will be two support reactions i.e. one in…
Q: QUESTION 4 Locate the centroid of the composite sheet metal in Figure Q4 if the material is…
A:
Q: Example 2.29.Two smooth spheres each of radius 100mm and weight 100N rest in a horizontal chamnel…
A: Given that, The given balls are as shown below, Drawing the free body diagram of the upper ball…
Q: Three spheres A, B and C having their diameters 500 placed in a trench with smooth side walls and…
A: From ∆ABC in fig(1) cosα=ADACcosα=300250+400cosα=62.51· Consider FBD of sphere C (FIg.(2)(a))…
Q: The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional…
A:
Q: The rigid arm of negligible weight shown in the figure supports a load of F = 852 N. The chains are…
A: Given data: F=852 Nx1=5 mx2=4 my=7 mz=5 m Need to determine the Magnitude of the force in FBE.
Q: 1. The bar ABC is supported by a pin at A and a steel wire at B. Calculate the elongation of the…
A:
Q: The axially loaded bar ABCD shown in figure 2 is held between 2 rigid supports. The bar has…
A: The free-body diagram of the given axial bar can be drawn as below, Here, RA and RD are the…
Q: 3.The length L-bar AB is suspended horizontally as shown by two vertical steel wires fixed on both…
A: Given is wire 1 is length l1 and elastic modulus E1 wire 2 is length l2 and elastic modulus E2 wire…
Q: (c) If the uniform axial centroidal load q = 18.33 kN/m is applied to the left over segment 1 (see…
A: Part (c) I will explain the whole process. The integration is not mandatory. We can use the direct…
Q: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown in Figure: Q 4(b).…
A: Given, dAB = 2 in dBC = 3 in LAB = 30 in LBC = 40 in
Q: Example: Body M shown in figure weighs (300 N) and the homogeneous bar BE weighs (60 N). Draw the…
A:
Q: 3. The figure below shows a ciraular steel plate supported on three posts A, B and C which are…
A: When a body is supported on some supports and some load is applied upon it experiences reaction…
Q: 3a)Two cylinders each of diameter 100 mm and each weighing 200 N are placed as shown in figure…
A:
Q: The rigid bar ABC is supported by pin at A and aluminium wire BD, is horizontal betore the Load P is…
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: In the lattice system shown in the figure, select the bar forces so that a = 3 P = 20. Also specify…
A:
Q: Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel,…
A:
Q: Rigid bars AB and BCD are supported by pins A and D and by a steel rod at C. There is a roller E =…
A:
Q: ka 2 ki P Rigid bar k3 for the system shown in the figure, which of the following statements are…
A: from the figure , we see that , point 1,2,3,4 are rigid on the wall , so they can't move while…
Q: The plate shown in (Figure is supported by a roller and a cable in the x-direction at A, a…
A: Given: The dimension of side AB is L=1.5 m. The dimension of side BC is L=1.5 m. The force applied…
Q: A spherical shell of volume mass density p, thickness t and radius R(R>>t) is placed concentrically…
A:
Q: Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel,…
A:
Q: Example: Body M shown in figure weighs (300 N) and the homogeneous bar BE weighs (60 N). Draw the…
A:
Q: 23: Triangular plate ABC is connected by means of pin at C with another triangular plate CDE as…
A: According to the details provided in the question, we need to calculate vertical reaction at point…
Q: Q) The member shown in Figure below is pin connected at A and rests against a smooth support at B.…
A: Take upward force as (+)ve and downward force as (-)ve. On the other hand, take the clockwise…
Q: Problem 4. The structure in the figure is composed of two rigid bars (AB and CD) and two vertical…
A: The free-body diagram of the beam is as shown below, Assumption: Let the length of aluminum and…
Q: Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel,…
A:
Q: The cantilever truss in the figure is hinged at D and E. Find the force in member BC. 1000 1b 60 60°…
A:
Q: Question 4 A pendulum is suspended from a pin at point O as shown in the figure below. The pendulum…
A: Given data: The lengths m and n are 1.5 m and 0.75 m The weight of each slender rod is 90 N Need to…
Q: A homogeneous 800 kg bar AB is supported at either end by a cable as shown in the figure below.…
A:
Q: The overhanging beam is supported by a pin at A and the two-force strut BC as shown in Figure Q4.1.…
A: Now draw the free body diagram for the above problem.
Q: k2 2 13 ki P Rigid bar k3 3 for the system shown in the figure, which of the following statements…
A: The rigid bar of system is given The displacement of rigid bar is given as, u The load acting on…
Q: 3. The system of chords is knotted as shown in figure below, carry the weights: 300lb & 400 lb.…
A:
Q: 4. A prismatic bar ABCD has built-in ends A and D. It is subjected to two point loads P, and P,…
A:
Q: A uniform stone slab weighs 400 lb and is suspended by 3 cables and subjected to a downward vertical…
A:
Q: Q1: For structure shown in Figure, Find the reactions of the hinge force at A, B, and C. 2 m 200 N/m…
A:
Q: A homogeneous 800 kg bar AB is supported at either end by a cable. Calculate the smallest area of…
A: Given:m=800 kgσb=90 MPaσs=120 MPa
Q: Consider the frame shown in (Figure 1). Assume the supports at A and D are fixed. The moment of…
A: Answer: MAB = -137.369 kNm MBA = -274.739 kNm MBC = 271.188 kNm MCB = -352.054 kNm
Q: A 15,000 N crane pivots around a friction-free axle at its base and is supported by a cable making a…
A: GivenM=15000Nm=11000N
Q: 8. A prismatic bar AB of length 6m and weight 3 KN is hinged to a wall and supported by a cable BC.…
A: Given Data:*AB=6m*weight w=3 KNTo finda)Hinge reaction Ax=? Ay=?b)tension oin BC, T=?
Q: B. 1.20m w.S. 6.0m
A:
Q: The L-shaped rigid bar shown is pin connected at C, welded to a rigid bar AB at point B, and rests…
A: Given: The shear modulus of the rubber, G = 150 MPa The thickness of rubber pads, t = 30 mm = 0.03 m…
Q: A prismatic bar AB of length 6m and weight 3 KN is hinged to a wall and supported by a cable BC.…
A: FREE BODY DIAGRAM is a diagram of the system which represents all the forces acting on the system.…
Q: The plate shown in Figure is supported by a roller and a cable in the x-direction at A, a…
A: (1) To find:The reaction force at point B. Given: The length of the triangle is L=1.5 m. The angle…
Q: The 100-cm long shaft CD is subjected to the loading shown in Fig. 4, supported by a journal bearing…
A:
Q: Q.1) For the bar shown in figure, determine the tensions in the three ropes and the bar AO, assume…
A: If a rope, string, chain, or cable is any of the items that exercise force, we call a force tension.…
Step by step
Solved in 2 steps with 2 images
- 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.An aluminum tube AB with a circular cross section has a sliding support at the base and is pinned at the top to a horizontal beam supporting a load Q = 200 kN (sec figure). Determine the required thickness t of the tube if its outside diameter d is 200 mm and the desired factor of safety with respect to Eu 1er buckling is n = 3.0. (Assume E = 72 GPa.)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).
- 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 70 lb/ft^2 against the full area of the sign. The dimensions of the poles and sign are h1 = 16 ft, h2 = 7 ft, and b = 13 ft. To prevent buckling of the walls of the poles, the thickness t 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 7100 psi in the aluminum. Round your answer to two decimal places. d = ___ in. (b) Determine the minimum required diameter based upon an allowable shear stress of 2100 psi. Round your answer to two decimal places. d = ___ in.just final answer A rigid component ABC is supported by a pin-connected member (1). The member has a rectangular cross-section with dimensions of 54 mm and 48 mm. The elasticity modulus of the material is 169 GPa. If L1=2421 mm, L2=1226 mm, L3=2272 mm, and L4=2072 mm; Determine the maximum normal stress (MPa) in member (1) without buckling.A solid brass [E = 98 GPa] axial member is loaded and supported as shown. Segments (1) and (2) each have a diameter of 26 mm and segment (3) has a diameter of 12 mm. Assume L1 = 1.9 m, L2 = 1.3 m, L3 = 1.5 m, R = 40 kN, Q = 12 kN, and P = 22 kN. (a) Determine the axial force in section (1) section (2) and section (3) in kN. and the axial deformation of section (2) (b) Determine the deflection of joint D (positive if downward) with respect to the fixed support at A. in mm. (c) Determine the maximum normal stress in the entire axial member. Give answer in MPa.
- Q#3. An aluminium strut 16 ft long has a rectangular cross section 2 in by 3.5 in. A bolt through each end secure the strut in such a way that is acts as hinged column about an axis perpendicular to 3.5 in dimension; and as fixed column about an axis perpendicular to 2 in dimension. Determine the safe central load with a factor of safety of 2 and E= 10300000 psi. Also discuss in detail about the governing column capacity and reasons behind it.An aluminum strut 2.50m long has a rectangular section 60mm by 30mm. A bolt through each end secures the strut so that it acts as a hinged column about an axis perpendicular to the 60 mm dimension and as a fixed ended column about an axis perpendicular to the 30mm dimension. Determine the safe central load using a factor of safety of 2.5 and E = 70 Gpa.A straight and piecewise uniform bar ABCD of total length L is in Case 1 fixed at A in case 1 and in Case 2 fixed at both ends A and D. AB = BC = CD = L/3. The cross section area of segment CD is half of the area of the segment ABC, i.e. AABC = 2ACB. A point load of P is applied at B. Assume that bar material is linear and elastic and the modulus of elasticity is E.
- A device consists of a horizontal beam ABCsupported by two vertical bars BD and CE. Bar CEis pinned at both ends but bar BD is fixed to thefoundation at its lower end. The distance from A toB is 600 mm and from B to C is 350 mm. Bars BDand CE have lengths of 350 mm and 450 mm, respectively,and their cross-sectional area is 720 mm2. Thebars are made of steel having a modulus of elasticityE = 200 GPa. If load P is 20 kN, calculate the displacementat point A.A load of P = 93 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze (E = 103 GPa) rods, and a solid steel (E = 238 GPa) rod, as shown. The bronze rods (1) each have a diameter of 15 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 2.3-mm clearance in the bolted connection at B. Assume L1 = 2.9 m and L2 = 1.3 m. Determine the downward deflection ν of rigid bar ABC. Express your answer in mm rounded to the nearest hundredths.A steel [E = 25500 ksi] pipe column (1) with a cross-sectional area of A1 = 5.60 in.2 is connected at flange B to an aluminum alloy [E = 17500 ksi] pipe (2) with a cross-sectional area of A2 = 4.40 in.2. The assembly is connected to rigid supports at A and C. For the loading shown, determine the normal force in the steel pipe (1).