In terms of Poisson's ratio (v), the ratio of Young's modulus (E) to shear modulus (G) of elastic materials is (a) 2(1+v) (c) (1+v)/2 (b) 2(1-v) (d) 2 (1-v)
Q: Young's modulus of elasticity and Poisson's ratio of a material are 1.25 × 105 MPa and 0.34…
A: As stated in the question, Young's modulus of the material = E = 1.25 x 105 MPa Poisson's ratio = μ…
Q: The graph shown below shows the Modulus of Elasticity (E) of different materials with respect to…
A: given; (a) which material is the most ductile with increasing temperature? (b) which material is the…
Q: A circular rod and a 0.1-in.-thick rectangular bar are both made of a plastic material that has an…
A:
Q: A: When the pressure of liquid is increased from 3.5 MN/m² to 6.5 MN/m² its volume is found to…
A:
Q: The shear stress distribution of a rectangular cross section of a beam follows
A: The shear stress distribution of a rectangular cross section of a beam follows Answer: C) a…
Q: For many materials, the stress-strain curve can be written by the Ramberg-Osgood equation presented…
A: Given; The strain at 140 MPa, ε140 = 0.04 The strain at 280 MPa, ε280 = 0.1 The strain at 420 MPa,…
Q: Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…
A: In the above option there is no correct answer. Please find the solution below.
Q: ed shear stress. Given: a = 1 mm, b = 100 mm and G = 25 GPa. Consider a linear elastic behavior.…
A: given:a=1mmb=100mmG=25Gpa
Q: Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a…
A:
Q: Define the term Slope and Displacement by Integration?
A: The slope is defined as the angular deviation at any point on the beam, due to transverse loading.…
Q: A steel shaft 'A' of diameter 'd' and length 'I' is subjected to a torque T Another shaft 'B' made…
A: Normal stress is defined as the intensity of force exerted over a unit cross sectional area which…
Q: a. Determine the Shear Modulus of Elasticity or Modulus of Rigidity of an electrical transmission…
A: The modulus of rigidity of any body around the rotational axis can be defined as the radial distance…
Q: Calculate the displacement of B-D-F points using the energy method or the Castigliano method. Cross…
A:
Q: Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…
A:
Q: Draw the Shear Force and Bending Moment Diagram for the loaded simply supported beam shown below.…
A:
Q: Q: Shear of Thin-Walled Beams (open section 1. The figure below shows the cross section of a thin,…
A: The moment of inertia about the plane I. is zero because of the symmetry of the x axis. Now write…
Q: 9.5 Define bulk modulus K, and show that the decrease in volume of a fluid under pressure p is pV/K.…
A: Bulk Modulus(K) of a fluid is defined as the ratio of change in pressure to the volumetric strain…
Q: h. Poisson's Ratio is the ratio of i. lateral strain to longitudinal strain ii. shear strain to…
A: Poisson ratio=μ Longitudinal strain is defined as the ratio of change in length upon original length…
Q: 1. A steel pipe of length 4 ft, outside diameter of 6.0 in., and inside diameter of 4.5 in., is…
A:
Q: Determine the bulk modulus of elasticity of a fluid in N/cm^2 which is compressed in a cylinder from…
A:
Q: The Poisson's ratio for a perfectly incompressible linear elastic material is
A:
Q: Determine the torsional shear stress in the shaft section AB and BC. There is a fixed support at C…
A:
Q: A 21.00-m steel beam with 6.000 cm × 6.000 cm cross-section is supported at opposite ends by two…
A:
Q: What is the Poisson's ratio if the ratio of Young's modulus (E) to the shear modulus (G) is 2?
A: Given data, The ratio of young's modulus and shear modulus is 2 ie E/G=2
Q: 7) In plastic strain, if flow stress changes from 01 to o2 and temperature ranges from T1 to T2 .…
A: By Arrhenius Equation,ln K=-?R1T+ln Afor plastic strain K=σlnσ=-?R1T+ln A
Q: Q1: A rod made of carbon reinforced epoxy has a diameter 3 cm, length 1.5 m, and mass 1.75 kg. The…
A:
Q: Show that a state of pure shear leads to no volume change during linear elastic deformation. (Hint:…
A:
Q: 1) Assume that a lamina is made using glass fiber and epoxy with the following properties: E = 74…
A:
Q: RS-10. An acetal polymer block is fixed to the rigid plates at its top and bottom surfaces. If the…
A: Given Data: The load acting on the plate is P = 2 kN. The length of the block is L = 400 mm The…
Q: Can you find the total deformation (mm) and strain energy values (J) at A, B, C, D,E? Shear Modulus;…
A: To find: The total deformation and strain energy values at A, B, C, D and E. Given: The shear…
Q: find the stress tensor that cause the following strain state
A:
Q: A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of…
A: Given The bending moment on the beam is M=3.5 kN·m. The external diameter of circular beam is D=3.5…
Q: from the shear stresses data above, DRAW THE SHEAR STRESS DISTRIBUTION DIAGRAM at each point of the…
A: Find the shear stress at each point and shear stress distribution.
Q: At what value of poisson’s ratio young modulus is equivalent to shear modulus? Express your answer…
A:
Q: Young's modulus of elasticity and Poisson's ratio of a material are 1.25 × 10^5 MPa and 0.34…
A: Given data: E=1.25×105 MPaμ=0.34 Need to determine the modulus of rigidity of the material.
Q: A wire 2 m long and 2 mm in diameter, when stretched by weight of 8 kg has its length increased by…
A:
Q: What is the ratio of Young's modulus to the Shear modulus if the Poisson’s ratio is 0.5?
A: This topic is related with the relationship between elastic constant.
Q: Q2: A fiberglass composite consists of a matrix of vinyl ester and reinforcing fibers of E-glass.…
A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…
Q: 100KN A force of 100 KN is applied on a column as shown. The column is made from two materials. [The…
A: Because we have to find out the normal stress distribution which is simply calculated as force…
Q: The bending moment diagram and cross-section for a beam are shown below. Use the elastic flexural…
A: Given: The maximum bending moment in compression from bending moment diagram, M = 40 kip.ft The…
Q: Consider the beam shown in (Eigure 1). El is constant Follow the sign convention. Determine the…
A:
Q: 1) Assume that a lamina is made using glass fiber and epoxy with the following properties: E = 74…
A: Solution: Given Data:
Q: For a viscoelastic material, stress is not only a function of strain, but also a function of a.…
A:
Q: A shaft is subjected to an axial pull of ___ and transverse shear force of ___ The yield strength of…
A: (As per policy, for questions containing multiple subparts, experts are allowed to answer only three…
Q: If Poisson's ratio of a material is 0.5, then the elastic modulus for the material is a)three times…
A: Given data: μ=0.5 Need to determine the elastic modulus for the material.
Q: E,I Using Castigliano's method, determine the absolute value of the slope (rotation) at the end of a…
A:
Q: Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a…
A:
give correct answer
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- .2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?A cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and modulus E = 10,000 ksi. The beam is subjected to a linearly varying distributed load with a peak intensity qQ= 900 lb/ft. Use the method of superposition and Cases 1 and 9 in Table H-l to calculate the deflection and rotation at B.A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C8 x 11.5 sections (channel sections or C-shapes) on either side of a 4 × 8 (actual dimensions) wood beam (see the cross section shown in the figure part a). The modulus of elasticity of the steel (E; = 30,000 ksi) is 20 times that of the wood (Ew). (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi, respectively, what is the allowable load qmax Note: Disregard the weight of the beam, and see Table F-3(a) of Appendix F for the dimensions and properties of the C-shape beam. (b) If the beam is rotated 90° to bend about its v axis (see figure part b) and uniform load q = 250 lb/ft is applied, find the maximum stresses trs and crw in the steel and wood, respectively Include the weight of the beam. (Assume weight densities of 35 lb/ft3 and 490 lb/ft3 for the wood and steel, respectively.)
- The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown in the figure. The width b of the beam is 8.0 in, the thickness I of the faces is 0.25 in., and the height hcof the core is 5.5 in. (total height h = 6.0 in). The moduli of elasticity are 10.5 × 106 psi for the aluminum faces and 12.000 psi for the foam core. A bending moment M = 40 kip-in. acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.The compound beam shown in the figure consists of a cantilever beam AB (length L) that is pin-connected to a simple beam BD (length 2L). After the beam is constructed, a clearance c exists between the beam and a support at C, midway between points B and ZX Subsequently, a uniform load is placed along the entire length of the beam. What intensity q of the load is needed to close the gap at C and bring the beam into contact with the support?A simply supported beam (E = 1600 ksi) is loaded by a triangular distributed load from A to C(see figure). The load has a peak intensity q0= 10 lb/ ft, and the deflection is known to be 0.01 in, at point C. The length of the beam is 12 ft, and the ratio of the height to the width of the cross section is (h:b) 2:1, Find the height h; and width h of the cross section of the beam.
- A reinforced concrete T-beam (see figure) is acted on by a positive bending moment of M = 175 kip-ft. Steel reinforcement consists of four bars of 1.41-inch diameter. The modulus of elasticity for the concrete is Ec= 3000 ksi while that of the steel is £s = 29,000 ksi. Let b = 48 im, rf = 4 in., bw=15 in,, and d = 24 in, Find the maximum stresses in steel and concrete, If allowable stresses for concrete and steel are o"ac = 1400 psi and tr^ =18 ksi, respectively, what is the maximum permissible positive bending moment?A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reactions of the beam and the displacement at point C. Assume that E = 190 GPa.A simple beam AB of length L and height /; undergoes a temperature change such that the bottom of the beam is at temperature 7™, and the top of the beam is at temperature Tx(see figure). Determine the equation of the deflection curve of the beam, the angle of rotation 9Aat the left-hand support, and the deflection 8mjLXat the midpoint.
- The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that the flanges yield but the webs remain linearly elastic. (a) Calculate the magnitude of the moment M if the dimensions of the cross section are A = 15 in., A] = 12.75 in., h = 9 in., and ey =7.5 in. Also, the yield stress is eY = 33 ksi. (b) What percent of the moment M is produced by the elastic core?A r o lukI f/frm f «m t ub e of ou t sid e d ia met er ^ and a copper core of diameter dxare bonded to form a composite beam, as shown in the figure, (a) Derive formulas for the allowable bending moment M that can be carried by the beam based upon an allowable stress <7Ti in the titanium and an allowable stress (u in the copper (Assume that the moduli of elasticity for the titanium and copper are Er- and £Cu, respectively.) (b) If d1= 40 mm, d{= 36 mm, ETl= 120 GPa, ECu= 110 GPa, o-Ti = 840 MPa, and ctqj = 700 MPa, what is the maximum bending moment Ml (c) What new value of copper diameter dtwill result in a balanced design? (i.e., a balanced design is that in which titanium and copper reach allow- able stress values at the same time).-6 Calculate the maximum deflection of a uniformly loaded simple beam if the span length L = 2.0 m, the intensity of the uniform load q = 2.0 kN/m, and the maximum bending stress = 60 MPa, The cross section of the beam is square, and the material is aluminum having modulus of elasticity E = 70 GPa. (Use the formulas of Example 9-1.)