Define the terms load , stresss and strain. Discuss the various types of stresses and strain p 4:19 /
Q: A cable steel has a length of 100 m and stretch to 5 cm when the load is applied at both ends. If…
A: Using the basic formula of strength of materials
Q: (b) Consider a square element in the x-y plane with side length of 3 cm. The thickness of the…
A: Solution of part c; Given:modulus of elasticity, E=80 GPaPoision's ratio, ϑ=0.3length of the cube,…
Q: A specimen with the given dimension is loaded as given in the figure below. Determine; a) The…
A: Given Data:- E=300Gpa μ=0.25 To Find:- 1) Stresses in each direction 2) Strains in each direction 3)…
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A: Given data: The length of the aluminium bar AB is, LAB=36 mm. The length of the titanium bar CD is,…
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Q: Q4/B/ The stress- strain curve for four materials are shown in figure below. Which material…
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Q: A) Describe the following, giving their advantages and disadvantages: i) Finite Volume Analysis. ii)…
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Q: Q4/ A plastic rod with length and radius of 300 mm and 30 mm, respectively. If an axial force of 400…
A: Given Data Length of the plastic rod, L=300mm The radius of the plastic rod, r=30mm The diameter of…
Q: Prob. 2.3-4. A "rigid" beam BC of length L is supported by a fixed pin at C and by an extensible rod…
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Q: A differential stress element as shown in Figure Q1 is subjected to a plane strain.(given E = 73 Gpa…
A: Since we only answer upto 3 subparts, we will answer the first 3. Please resubmit the question and…
Q: Determine the instantaneous stress and elongation of a 30 mm diameter bar if a mass of 60 kg falls…
A: This the case of impact load so impact stress is given as σ=PA1+1+2EAhPL P=mg=60*10=600 N…
Q: A rectangular steel block is 4inches long in the x direction, 2inches long in the y direction, and…
A: Solution to first three sub-parts as per our company policy:
Q: A circular tube is subjected to torsion by torques T applied at the ends. The bar is 0.75 m long and…
A: Given Data: The length of the tube is, l=0.75 m=0.75 m×1000 mmm=750 mm. The inside diameter of the…
Q: t = 400 mm 250 mm 300 mm
A: given data: Px = 800 MPa; Py = 300 MPa; Pz = 500 MPa appear L=300; B=250; t=400 E = 75000 MPa…
Q: A steel bar 250 mm long, 40 mm wide and 30 mm thick subjected to a pull of 200 kN in the direction…
A: Given data: The length of the steel bar is l=250 mm The width of the steel bar is w=40 mm The…
Q: A steel (E = 200 GPa) rod ABC is applied by the axial load as shown in Figure Q2(c). The diameter of…
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Q: 1.6-7/ A wire of length L 4 ft and diameter d-0.125 in. is stretched by tensile forces P = 600 lb.…
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Q: (b) Consider a square element in the x-y plane with side length of 3 cm. The thickness of the…
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Q: The stress- strain curve for four materials are shown in figure below. Which material (A/B/C/D) has…
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Q: 3) Objects 1 and 2 are positioned as shown in the figure. Object 1 is a rigid support. For object 2,…
A: Consider a body having length L,cross-sectional area A and Young's Modulus E is heated by ΔT°C.…
Q: Q5. A material is made in circular rod form of diameter 1.5 cm and 200mm long. It is fixed on the…
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Q: The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 XX…
A: The Stresses which are acting typical to the plane of the body are called as ordinary or direct…
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Q: Determine the nodal displacements, the forces in each element, and the reactions. Use the direct…
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Q: The stepped shaft in the figure transmits 19.2 kW of power at 180 rpm. Maximum strain Determine the…
A: given data;power transmitted(P)=19.2KW =19.2*103w…
Q: Find the resulting strains in a unidirectional lamina subjected to normal tensile stresses of 20MPA…
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Q: A 60° strain rosette is glued to a girder. Under certain loading conditions at an instant, the…
A: Given data, εa = Strain at strain rosette a = 4.4x78 μ = 343.2μ εb = Strain at strain rosette b =…
Q: * The rectangular block of material of length L and cross-sectional area A tits snugly between two…
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Q: A В 3 m Figure Q3(a)
A: (a) To plot the stress strain diagram for elastic-perfectly plastic material. (b) To find P = ?
Q: Consider the stress-strain diagram, shown in the figure, of a bar made from a composite material.…
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Q: A rectangular block is 7 cm long in the x-direction, 5 cm in the y-direction, and 9 cm long in the…
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Q: Q2/ In the nucleus pulposus of an intervertebral disc, the compressive load is 1.5 times the…
A: Given data: M=90 kgm=50 kg Need to determine the compressive loads on the nucleus pulposus and…
Q: H.W.10 Rigid bar ABCD is supported by two bars as shown in Figure P2.7. There is no strain in the…
A: It is given that the Bar is rigid, thus the bar before and after loading will remain straight. To…
Q: 1.6-7 A wire of length L = 2.5 m and diameter d = 1.6 mm is stretched by tensile forces P = 600 N.…
A: We can answer up to 3 sub-parts so we will answer first 3 sub-parts. Please resubmit the question by…
Q: A steel bar of 50mm wide, 12mm thick and 300mm long is subjected to an axial pull of 84KN. Find the…
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Q: Determine the instantaneous stress and elongation of a 30 mm diameter bar if a mass of 60 kg falls…
A: Given data: Mass of the falling object, m = 60 kg. Diameter of the bar, d = 30 mm. The initial…
Q: Figure Q4(a) shows the stress-strain curves of material A and material B. A circular rod of material…
A: Given data, DA = diameter of rod of material A = 0.03 m LA = Length of rod of material A = 0.1 m DB…
Q: The figure below shows the stress strain diagram of a cortical bone, with initially rectangular…
A: As per our company policy we are asked to solve 3 sub-parts of a question.. Please post rest parts…
Q: 1.5-5 A wire of length L = 2.5 m and diameter d= 1.6 mm is stretched by tensile forces P = 600 N.…
A: according to the given information the force of p=600 n, length of wire is 2.5m, and the diameter is…
Q: The stepped shaft in the figure transmits 19.2 kW of power at 180 rpm. Maximum strain Determine the…
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Q: Q4/ A plastic rod with length and radius of 300 mm and 30 mm, respectively. If an axial force of 400…
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Q: A mass of 45 kg falls freely from a height of 2,5 m onto a collar fixed to the bottom end of a…
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Q: The square plate of dimension axa (a= 500 mm) and thickness t=20 mm, is made of the orthotropic…
A: ε=σE∆L=σEL poisson ratio = lateral strain/linear strain
Q: Consider the simplified stress-strain curve of mild steel shown in the figure below. Only the…
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Q: A cylindrical rod of diameter 10 mm and length 1.0 m is fixed at one end. The other end is twisted…
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Q: DR LARISA MALYSHEVA QB1 DIRECT STRESS Two round solid bars of different materials are connected (in…
A: given; load(P)=190KN =190*103Ndiameter of steel bar(ds)=18mmdiameter of aluminium…
Q: A rectangular block is 6 in. long in the x – direction, 4 in. long in the y – direction, and 7 in.…
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- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the spring
- Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizontal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (sec figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element oriented at a clockwise angle of 40g from the horizontal. Show these stresses on a sketch of an element oriented at this angle.During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
- The state of stress on an element of material is shown in the figure. Calculate the unit volume change of the element if the stresses x and y. are -20 ksi and 10 ksi, respectively. Assume E = 10,600 ksi and v = 0.33.Solve the preceding problem for the following data:P = 160 kN,JV = 200 tN,L = 2 m,b = 95 mm, h = 300 mm, and d = 200 mmA stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed torque t1acting aver segment 1 and concentrated torque t2applied at C, as shown in the figure. Segment 1 of the shaft has a diameter of d1= 57 mm and length of L1= 0.75 m; segment 2 has a diameter d2— 44 mm and length L2= 0.5 m. Torque intensity /,"= 3100 N . m/m and T2= 1100 N. m. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: .x = L1/2 and at .x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams.
- A hollow circular tube A fits over the end of a solid circular bar B, as shown in the figure. The far ends of both bars are fixed. Initially, a hole through bar B makes an angle ß with a line through two holes in tube A. Then bar B is twisted until the holes are aligned, and a pin is placed through the holes. When bar B is released and the system returns to equilibrium, what is the total strain energy U of the two bars? (Let lAand lBrepresent the polar moments of inertia of bars A and B, respectively. The length L and shear modulus of elasticity G are the same for both bars.)Solve the preceding problem if the cross- sectional dimensions are b = 1.5 in. and h = 5.0 in., the gage angle is ß = 750, the measured strains are = 209 × 10-6 and B = -110 × 10, and the material is a magnesium alloy with modulus E = 6.0 X 106 psi and Poisson’s ratio v = 0.35.Solve Problem 7.7-12 by using Mohr’s circle for plane strain.