QN 72+ A rectangular plate, 15 mm thick, made of a brittle material is shown in Figure. Calculate the stresses at each of three holes of 3, 5 and 10 mm diameter.[161.82, 167.33 and 200 N/mm ] 100 20 kN- -20 kN 25

QN 72+ A rectangular plate, 15 mm thick, made of a brittle material is shown in Figure. Calculate the stresses at each of three holes of 3, 5 and 10 mm diameter.[161.82, 167.33 and 200 N/mm ] 100 20 kN- -20 kN 25

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...

See similar textbooks

Related questions

Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…

A: Given, a= 2mm, b= 100 mm and G = 25 GPa

Q: steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter . The internal diameter of…

Q: 2.2. The stress at a point is defined by the components Oxy =7 ksi, oyy=10 ksi, Ory =-20 ksi. Sketch…

A: givenσXX=7ksiσyy=10ksiσxy=σyx=-20ksi

Q: Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of diameter of 25 mm and of…

A: Given: Diameter , d= 25mm = 0.025 m Length , L=1.6m Paisson's ratio , μ=14 ∵ μ = Lateral…

Q: At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress…

A: Given:σx=-30 MPaσy=15 MPaζxy=25 MPaθ=-25°

Q: A cylindrical specimen of some metal alloy 9.0 mm (0.3543 in.) in diameter is stressed elastically…

A: The normal stress in the specimen can be determined as,

Q: An alumin um rod with the rod axis oriented in the z-direction is subjected to T20 = 10MPa, which is…

Q: 1) A rectangular plate is under biaxial stress o, = 65 MPa (tensile) and ay = 20 MPa %3D…

Q: Fig. 1 depicts an aluminum and steel pipes, those pipe are fastened to rigid supports at ends A and…

Q: stress 37 ksi- strain in 0.002-

Q: A material is deformed under a pure shear stress as shown in the following figure. Calculate the…

Q: Two steel wires support a moveable overheadcamera weighing W = 28 lb (see fgure part a) usedfor…

A: W=28lb α = 22° β = 40°diameter1=30milsdiameter2=35mils1mil=0.001in To-Find:- a) Tensile stresses σ1…

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: 1. Figure 3 depicts a bungee jumper coming to a stop at the bottom of the plunge before springing…

A: Given data: ◆ The load applied on the bungee cord: P = 570 N ◆ The length of the bungee cord: L =…

Q: Consider the circular bent rod with điameter 20 mm. The free-end of the bend is subjected to loads…

A: The horizontal force of 400 Newton will generate a bending moment at the section b-b. The vertical…

Q: A compressive force was applied in the longitudinal direction of a cross-sectional bar ( A= 10 cm²)…

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.…

Q: A material having a shear modulus G, is deformed under a pure shear stress as shown in the following…

Q: 6. Refer to figure 2. Bar АВCD with cross-sectional FIGURE 2 area equal to 600 mm?. Determine the…

Q: 2 cm 2 cm 2. 2 сm 2 cm 3000 N 6 ст 6 ст 10 cr 2 cm

A: Area of the solid aluminium block = A = 120 mm ×100 mm = 12000mm2 Area of the hollow portion = a…

Q: At a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress…

A: Given:σx=-30 MPaσy=15 MPaζxy=25 MPa

Q: Figure Q1(b) shows three rods that were assembled together and held between rigid supports. The…

A: Given data, T1 = Initial temperature = 20 °C T2 = Final temperature = 70 °C ∆T = Change in…

Q: The stress- strain curve for four materials are shown in figure below. Which material (A/B/C/D) has…

Q: Problem 5: (D2) You are an engineering intern at a manufacturer of mechanical tools, your senior…

Q: A steel rod (initial diameter: 3.2 mm, initial length: 42 mm) is extended by a uniaxial tensile load…

A: GIVEN :- di=3.2 mmli=42mmP=4800 Nt=120 slf=49.2 mmσyeild=380 MPaσultimate=670 MPaE=210 GPa

Q: 1.An axial pull of 40000 N is acting on a bar consisting of three sections of length 30 cm,25 cm and…

Q: Example 31: A thin cylinder 75 mm internal diameter. 250 mm long with walls 2.5 mm thick is…

Q: 2. Ten point load tests are carried out on cylindrical specimens of a sedimentary rock with 30 mm…

A: The given values are as follows, If P =200kN Cross sectional Area=6000mm2 To Determine The stress…

Q: Find the stresses in each direction, also find the change in volume of the block of dimension 120 mm…

A: The given values are - Dimensions 120×45×43 mm3Poisson's Ratio μ= 0.3E= 140 GPa=140×103 MNm2 Tensile…

Q: Situation 11: As shown in the Figure, three steel wires, each 0.05in? in area, are used to lift a…

Q: Two initially straight bars are joint together and attached to support as shown in Figure 4. Let us…

Q: A material having a shear modulus G, is deformed under a pure shean stress as shown in the following…

Q: A closed thin walled cylindrical vessel has a diameter D of 660 mm, a wall thickness t of 2.0 mm and…

Q: 30. A compressive load P is transmitted through a rigid plate to three magnesium-alloy bars that are…

Q: At room temperature the gap between bar A and bar B shown in Fig. 8.54 is 0.2 mm. What are the…

A: Given: The gap between the rods is 0.2 mm. Temperature increment ( T ) required to fill the gap…

Q: 2. In the stress-strain curve for steel shown below, identify following stresses in ksi and write…

A: Yeild point - Yeild point is the point at which the material will have an appreciable elongation…

Q: Q24 Find the stresses in each direction, also find the change in volume of the block of dimension…

A: Given data Where ‘T’ and ‘C’ represent tensile and compressive nature respectively.

Q: A composite bar is subjected to a tensile load of 115 kN. Bar 1 is rectangular cross section with…

Q: 9. An initially rectangular element of material is deformed as sh in the figure (deformation shown…

Q: 4(a) A solid circular bar is experiencing axial load F=3 kN as in Figure 4(a). Find the strain…

A: Note- As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: An element that has Young's modulus is E=70GPA, the Poisson's ratio is v=0.33 and yield stress Y =…

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm, and length 248 mm…

Q: A steel bar of 8 mm is heated from 10° C to 25° C and the bar is free to expand. The bar will induce…

A: When a bar is heated, it has a tendency to expand. If it is somehow constrained to expand, there…

Q: Find the stresses in each direction, also find the change in volume of the block of dimension 125 mm…

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: A wire with a Young’s Modulus, E, of 8.5 x 106 N/m2 and an original length of 1.5 m is under…

A: Given: Young's modulus (E)=8.5×106N/m2Original length (L)=1.5mElongation (δ)=2.5mm or 0.0025m

Q: A rubber block with dimensions 120x120x120 mm is a rigid mold It is compressed with a vertical force…

A: Consider the diagram shown below for the given block.

Q: A 4 m long metal cylinder with an external diameter of 600 mm and a wall thickness of 10 mm is…

A: Given Data P=35 bar=3.5 MPa D=600 mm t=20 mm L=4 m E=60 GPa v= 0.3

Question

QN 72+
A rectangular plate, 15 mm thick, made of a brittle material is shown in Figure. Calculate the
stresses at each of three holes of 3, 5 and 10 mm diameter.[161.82, 167.33 and 200 N/mm ]
100
20 kN-
-20 kN
25

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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 spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
The surface stresses of a pure aluminum device (E = 70 GP a, v = 0.33) that were tested on a space shuttle were obtained with stress sensors. The sensors were oriented as shown in Figure 3 and the unit strains obtained were εa = 1100 × 10−6, εb = 1496 × 10−6, and εc = −39.44 × 10−6.(a) What is the stress σxx in the x direction? Use Mohr's circle.
A cylindrical specimen of some metal alloy 9.0 mm (0.3543 in.) in diameter is stressed elastically in tension. A force of 15500 N (3485 lbf) produces a reduction in specimen diameter of 6 × 10-3 mm (2.362 × 10-4 in.). Compute Poisson's ratio for this material if its elastic modulus is 100 GPa (14.5 × 106 psi).
The figure shows a sign hanging from a beam anchored to a wall by two cables. In an element of the beam, the stress tensor has been measured, resulting in the following values σxx = 2250 [psi], σyy = 1175 [psi] and ???=−820 [psi]. Q) It is known that σcreep= 2000 [psi]. Is it possible that the beam could fail? Apply the von mises and tresca criteria
The piece of plastic is originally rectangular. Suppose that aaa = 270 mmmm and bbb = 440 mmmm . (Figure 1) Figure 1 of 1 Part A Determine the magnitude of the shear strain γxyγxy at corner DD if the plastic distorts as shown by the dashed lines
Calculate the bursting pressure for a cold drawn seamless steel tubing of 60 mm inside diameter with 2 mm wall thickness. The ultimate strength of the steel is 380 MN/m2.(a) 25 MN/m2(b) 20 MN/m2(c) 30 MN/m2(d) None
The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and is made from a homogeneous material. The length (L) of the rod is 1.75 m and Young’s Modulus for the material (E) is 250 GPa. When the rod is placed under tension it experiences deformation and a stress (?) of 650 MPa. Calculate the following:(1) Strain energy (U) to 2 decimal places in Joules.(2) Strain energy per unit volume (U/V) in J/m3(3) The change in length ∆L to 2 decimal places in mm.(4) The strain (?) due to deformation to 2 significant figures. (show all work)
If the Young’s modulus and rigidity modulus of a material are 210GPa and 70GPa respectively, calculate the Poission’s ratio of that material. a. 0.111 b. 1.111 c. 0.500 d. 0.801
A very fine fabric 0.020 mm in diameter can support a 20 g object. How does the stress in the fabric compare with the ultimate strength in tension of copper
A steel cable is used to lift a load W with the following given. weight W = 175 kN diameter = 30.03 mm length = 12.02 mm E = 200 GPa 1. Find elongation. 2. Find strain. 3. What is the ductility of material in percentage given that steel cable fails at 27.50 mm diameter. Please make sure your handwriting is readable.
Verify if my answers are correct: P =1000 N Q =1300 N C =216000 N.mm