H.W.9 The two bars shown in Figure P2.2 are used to support load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (-0.55 in., -0.15 in.). Assume that a =15 ft, b= 27 ft, c = 11 ft, and d= 21 ft. Determine %3D the normal strain in each bar.
Q: polymeric elastic rod AB of constant cross-section (100mm^2) is fixed at A and B and load axial…
A: The magnitude of forces that produce deformation is described by the term "stress." Force per…
Q: M h B For the given system; a) Draw bending moment and shear force diagrams. b) Determine the most…
A: Consider horizontal forward & vertically upward force as (+)ve and vertically downward force as…
Q: Compound axial member ABC shown in Figure Q-9 has a uniform diameter d = 37.5 mm. Q-9 Segment (1) is…
A: Write the expression of the area of the cross-section of the rod. Write the expression of Hooke’s…
Q: A uniform bar AB is suspended from two cables AC and BD; each with cross-sectional area 400 mm?.…
A: Given Data: The cross sectional area of the each cable is, A=400 mm2. The weight of the uniform bar…
Q: Consider the figure shown below: B' A In its undeformed state the assembly is represented by…
A:
Q: A 1000-kg homogeneous bar AB is suspended from two cables AC and BD, each with cross-sectional area…
A:
Q: Given is an aluminium block: where E= 70 GPa, v= 0,334 Axis Dimensions, mm Loads (kN) 300 50 (T) 50…
A:
Q: (2) Determine the internal forces and normal stresses in bars (1) and (2). (+= 850 mm 570 mm…
A:
Q: Problem # 7: A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y…
A:
Q: The bar ABC shown is loaded by a force P1=20 kN and P2= 40 kN at points C and B respectively. The…
A: The energy accumulated in a body owing to deformation is known as strain energy. Strain energy…
Q: A rectangular steel block is 4 inches long in the x-direction, 6 inches long in the y-direction, and…
A:
Q: A steel wire having cross section area 2 mm2 is stretched by 10 N. Find the lateral strain produced…
A:
Q: A thin square plate PQRS is symmetrically deformed into the shape shown by the dashed lines in the…
A:
Q: Figure Q4(a) shows the stress-strain curves of material A and material B. A circular rod of material…
A:
Q: An elastic body is subjected to a tensile stress X in a particular direction and a compressive…
A:
Q: A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and…
A:
Q: A rectangular (3" x 5") rod has an axial (tension) load applied, P, of 300,000 lbs. The diameter of…
A:
Q: The allowable unit stress in shear on a fillet weld is 13,600 psi, and the total actual length of…
A: Given Data : Allowable stress = 13600 psi Total actual length Lw = 3 in Total Force F = 9600 lb…
Q: rod ABC is applied with axial loading as shown in Figure Q4(a). Using E = 200 GPa, determine (i) the…
A: Given:E=200 GPaP=36 KNd=16 mmD=20 mmLAB=600 mmLBC=900 mm
Q: A rectangular metal slab has dimensions 4m, 2m and 1m in the xy and z directions respectively. The…
A:
Q: Q1: A flat plate 2m long, 1m wide and 10mm thick. If a uniform tension is applied in the…
A:
Q: H.W.8 When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the…
A: Given:- ε2=2075 μm/m a=1.2m b=2.8m To find:- (a) Elongation of segment(2) (b) Strain in segment (1)
Q: In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel…
A:
Q: Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before…
A: The deflection in bar 2 is calculated as: δC=3300×10-6×1200=3.96 mm
Q: A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and…
A: Permissible stress is stress, which produces due to pressure or forces which does not exceed the…
Q: At a point in an elastic material under strain, the stresses on the three mutually perpendicular…
A: Given: Normal tensile and shear stress on one plane are 60 N/mm2 and 40 N/mm2. Normal tensile and…
Q: A thin wire, lying along the x axis, is strained such that each point on the wire is displaced Δx =…
A: Given data: Each point P on the wire is displaced by the function, Δx = k·x2. Here, Δx is the…
Q: A square steel plate is 10.0cm on a side and 0.500 cm thick. (a) Find the shear strain that results…
A:
Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…
A: Given data: u=1.4 mm v=5.1 mm c=680 mm α=21o β=69o
Q: p joint with 5 rivets axially loaded with P, assuming that the load is distributed uniformly in each…
A: To determine the shear force in each rivet given that there are 5 rivets.
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: When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the total…
A:
Q: A centered force P and a horizontal force Qx are applied at point C of the rectangular bar shown in…
A: Given that, The strain rosette has following data,ε1=-60×10-6ε2=240×10-6ε3=200×10-6Modulus of…
Q: A strain element is given in the figure. Find the planes in which the normal stresses are equal in…
A:
Q: The Poisson ratio formula for an auxetic structure given in the figure is given as follows: H = 8…
A: H = 8 cm L = 4 cm α = 50 ° t = 5 mm To find: a) Calculate the strain on the Z axis of the…
Q: n constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel…
A:
Q: A thin rectangular plate is uniformly, deformed, as shown. Determine the shear strain γxyγxy at P.…
A: Given data: a = 15 inb = 28 inc = 0.12 ind = 0.19 in Need to determine the shear strain at point P.
Q: [4] In thin walled sphere, the wall is subjected to A. Hoop stress only B. Longitudinal stress only.…
A: 4. In thin walled sphere, the wall is subjected to A. Hoop stress only B. Longitudinal stress…
Q: For the prismatic bar in simple tension shown below, the stress state at any point "M" is…
A:
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: A rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and…
A:
Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…
A: Please refer to the detailed solution given below, Answer - Shear strain is 4696.37 Micro-Radian
Q: Question 2 The uniformly distributed force f (unit: N/m) is applied along the axis of the bar, and a…
A:
Q: Problem 1.1. A rod 150 cm long and of diameter 2.0 cm is subjected to an axial pull of 20 kN. If the…
A: Given, Length of rod = L = 150 cm = 1500 mm Diameter of rod = d = 2 cm = 20 mm Axial pull force = P…
Q: A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain γxyγxy at P.…
A:
Q: B 60 5 in. 8 in. A P 6. Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC…
A:
Q: P2.12 (WP A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q…
A:
Q: In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel…
A: Using condition of equilibrium to calculate the tension in wires,
Q: A force Q is applied to a rectangular member with a size of 300mm x 450mm. Q is located 37.5mm left…
A: Find the stress at point C and D in Mpa.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
- The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
- A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33. (a) IF the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e = 78 J X 10-6, what is the shorteningA 4.75-in, outside diameter polyethylene pipe designed to carry chemical waste is placed in a trench and bent around a quarter-circular 90° bend (see figure). The bent section of the pipe is 52 ft long. Determine the maximum compressive strain If the normal strain cannot exceed 6.1 × 10-3 , what is the maximum diameter of the pipe? If d = 4.75 in., what is the minimum acceptable length of the bent section of the pipe?Q1) Bar (1) of length 2.8 m and bar (2) of length 0.73 m are fixed at ends A and C. There is a A = 3.5 mm gap between bar (2) and the rigid plate at B. Load P is applied to plate B and as a result of that, bar (1) elongates and bar (2) get compressed. If the normal strain in bar (1) is 2429 um/m, find the normal strain in bar (2). (1) P, (2) A P 2.8 m 0.73 m
- The beam is supported by two wires AB and CD that have a diameter of 12 mm and 8 mm, respectively as shown in Figure Q2. Given the mass of the beam is 500 kg. i. Determine the position d of the 6 kN load so that the average normal stress in each wire is the same ii. Find the strain in wire CD, ɛcD iii. Using d that obtained in Question 2(i), calculate the displacement of point E B Wire AB Steel 6 kN D Wire CD L= 5 m Aluminium E= 200 GPa L=3 m E = 70 GPa E 10 mA rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load Pis applied. After load P is applied, the normal strain in rod (2) is 840 pin./in. Assume initial rod lengths of L1 = 120 in. and L2 = 71 in. Determine (a) the normal strain in rods (1). (b) the normal strain in rods (1) if there is a 0.032 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied. (c) the normal strain in rods (1) if there is a 0.032 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied. (1) (2) Rigid bar Answers: (a) E1 = i pin./in. (b) E1 = pin./in. (c) Ɛ1 = i pin./in.Question 2 A 60° strain rosette is installed on the traction-free surface of a component with one of the strain gages aligned along the y-axis, as illustrated in Figure Q2. The gages show the following strain readings upon loading the structure: E, = 925 x10“ ; &, = 740 x10“ ; ɛ. = -555 ×106 (a) Determine the strains in the x-y directions and show the corresponding strain element. (b) Calculate the principal in-plane strains and the corresponding principal directions. Show the principal strain element. (c) Calculate the in-plane maximum shear strain and show the corresponding strain element. (d) If the structure is made of steel with elastic modulus and Poisson's ratio of 220 GPa and 0.30, respectively, calculate the principal stresses. Show the principal stress element. (e) Determine the normal strain in the n-direction. & Ea
- L₁ Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (2) is measured as -3,300 µm/m. Use the dimensions L₁ = 1,600 mm, L₂ = 1,200 mm, a = 240 mm, b = 420 mm, and c = 180 mm. Determine: • The contraction in bar (2) • The elongation and the normal strain in bar (1) • Displacement of point D (1) B b Rigid bar L₂A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction. If the Poisson’ Ration is 0.30 and the modulus of elasticity is 29xksi, determine the deformations at each direction. Also, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.Question 3 Show that the following function o may be used as an Airy stress function $ = Ax? + Ba²y+ Cry Evaluate A, B and C for the rectangle shown in Figure Q3: (1) there are no external loads for any kind applied along KN; (2) along KL there is a uniform normal load p; (3) and along MN there is no normal load; (4) along KL, LM and MN there are shear stresses (but none along KN). Make a neat sketch of the stresses along the boundary KLMN. y N M Thickness=1 b p per unit length a