Required informationA steel bar (Es= 210 GPa) and an aluminum bar (Ea = 70 GPa) are bonded together to form the composite bar shown.8 mm8 mm8 mmAluminum24 mm-SteelDetermine the maximum stress in steel when the bar is bent about a horizontal axis, with M= 50 N-m.The maximum stress in steel is -MPa.

Area(A)nAYenAYe124*8=192192*1=1924768216*8=128128*1=12812153638*8=6464*3=1921223045124608Consider…

Answered: mm mm 8 mm 4 Aluminum 24 mm Steel

Engineering

Mechanical Engineering

mm mm 8 mm 4 Aluminum 24 mm Steel

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.7.2P: A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is...

See similar textbooks

Related questions

Q: Determine the horizontal and vertical components of forces acting at the pins A, B, and C of the…

A: Given dataForces acting on the body = 100 lb

Q: Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to…

A: For the solution refer below images.Find F.B.D. and shear and bending diagrams for portions AB and…

Q: A stepped cylinder has the dimensions R₁ = 0.30 m, R₂ = 0.65 m, and the radius of gyration, k, is…

A: The inner radius is .The outer radius is .The radius of gyration of cylinder is .The mass of…

Q: With the following modifications: Change the first 3m length to 5m (the second 3m length stays the…

Q: Which of the following images represents the correct way to get the true length view of the line? A:…

A: Which of the following images represents the correct way to get the true length view of the line?

Q: 45°

A: For pure shear is-

Q: Determine the Cartesian components, X and Y of force F2 if the sum of the moments created by F1 and…

Q: Select the right answer for each of the following first three and fill in blanks for the rest two;…

A: In order to solve this puzzle, we must carefully consider each question and select the appropriate…

Q: 4) For the mechanical system shown below, find the transfer function T(s) = V₂(s)/R(s) Friction b₂…

A: The free body diagram of mass M2 is:andthe free body diagram of mass M1 is;and from (2);

Q: Outdoor air infiltrates into a building through cracks in the walls at the rate of 700 m3/h (this is…

A: Given:To find:a) The sensible heat load (in kW) due to the infiltrating airb) The latent heat…

Q: Level 2: Develop Models Draw a model that explains how Enhanced Geothermal Systems (EGS) works to…

A: Understanding the underlying theories of Enhanced Geothermal Systems (EGS) technology is necessary…

Q: A mass of 10 g of oxygen fill a weighted piston-cylinder device at 20 kPa and 94.0°C. The device is…

A: Given DataMass of oxygen(m)=10 gFor oxygen assume R=0.2598Problem statementProblem says determine…

Q: DRAW AN AUXILIARY VIEW THAT SHOWS THE TRUE SHAPE OF THE ANGLED CUT KEYWAY, ALONG WITH A TOP VIEW.

A: Given DataThe front and the top view of the object are provided in the question in third angle…

Q: Calcuate Torsion From Point A to Point C and Bending from Point A to Point B and from Point A to…

A: For the solution refer below images.Find F.B.D. and shear and bending diagrams for portions AB and…

Q: Determining the result and direction of two forces or more. Use the grid below to draw the force…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Determine the minimum pipe diameter if the pressure drop is to

Q: Name: Q1/ Give the Name of plans in the Image? The anatomical planes www.free-anatomy-quiz.com Q2/…

A: Plane A -Frontal PlanePlane B -MidSagittal Plane Plane C - Transverse Plane

Q: In the following figure, a machine is installed in the water drainage system. Knowing that the…

Q: Locate the centroid of the shaded area and then determine its moments of inertia about its…

A: Let's first split the given figure into basic shapes. There are 4 basic shapes that comprise the…

Q: 3. Solve for the rate of natural convection heat loss from a flat 1-m square, restaurant grill…

A: Square Plate = 1 m

Q: A spherical tank,the inner diameter 50 cm and is maintained at temperature of 50c,the outer…

Q: 3. For the two-bar structure shown below, determine the global stiffness matrix K and the force…

A: Formulating the elements based on the case you are solving is the initial step in solving any FEA…

Q: Problem-5: In a CD nozzle with a throat area of 0.75 m² of a rocket engine, gas at 7.5 MPa and…

Q: An insulated piston-cylinder device contains 0.2 m³ of saturated refrigerant R-134a vapor at 1 MPa…

A: The piston cylinder is insulated.The volume of saturated refrigerant vapor is .The initial pressure…

Q: A pin-connected crane framework is loaded and supported, as shown. The member weights are post, 700…

Q: A viscosity motor/pump is shown in figure below. The rotor is concentric within a stationary…

A: The value are .The flow rate is .The dynamic viscosity is .

Q: 3. A992 steel W beam; max. deflection ≤ ½ in. 5 kip/ft. 18 ft. B

A: to determine the shear force, bending moment of the triangular loaf in cantilever beam, length of…

Q: Plz see attached pic Need Force for Member AC Member BC

Q: Flv = lb

A: To determine the reaction force at node 1given diametermoment of inertia length of the beam length…

Q: What is the role of differential equations in system modeling? How are differential equations used…

A: We must first recognize differential equations' significance in expressing dynamic systems before we…

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

Q: The tractor is used to lift the 170-kg load B with the 24-m-long rope, boom, and pulley system. The…

Q: Calculate the forces acting at pin A, pin B, and pin C. 6 m 5 kN 1.5 m y 1.5 m x OB 3 m 3 m

A: Calculate the forces acting at pin A, pin B, and pin C.

Q: P3: The resisting force R of a supersonic plane during flight can be considered as dependent upon…

A: The resisting force is dependent upon length of aircraft,(l), velocity (V), air viscosity (), air…

Q: Consider a convergent-divergent duct with exit and throat areas of 0.5 m^2 and 0.25 m^2,…

Q: Calcuate torsion From Point A to Point C, Calcuate Bending From Point A to Point B and Point A to…

A: For the solution refer below images.Find F.B.D. and shear and bending diagrams for portions AB and…

Q: Determine the force in the member AB, and state if the member is in tension or compression. Express…

Q: What is the braking horsepower?

A: Given data, the flow rate of the pump Q = 90Gpmthe pump head of the water column H = 181 ftPump…

Q: A commercial refrigerator with refrigerant-134a as the working fluid is used to keep the…

Q: A flat circular surface is submerged in water so that its flat surface is perpendicular to the free…

A: A flat circular surface is submerged in water so that its flat surface is perpendicular to the free…

Q: The compression ratio in an air standard Otto cycle is 9. At the beginning of the compression…

Q: The air conditioning system of 90 kPa total pressure. The data is shown in the figure. determine the…

Q: A homogeneous prismatic bar hangs from a ceiling verticallydownwards under its own weight. The bar…

A: Given-To prove-Total elongation of the bar is given by

Q: With a base schedule as shown below, what changes will occur if activity C can start after B is…

A: Here alphabets indicate activity and numbers indicate activity processing time.

Q: One kilogram on a diatomic ideal gas undergoes the following four step process starting at Point A…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: f 800 MPa, and a tensile this specimen experienc long? Why or why no

Q: In a liquid of density p, a circular plate of diameter d, tangent to the surface of the liquid, is…

Q: Determine the Prandtl number, Nusselt number, and Reynolds number from the following flow ata: = 0.5…

Q: 2) Referring to the aluminum-silicon phase diagrams as shown below, Answer the questions. What is…

A: Given:To find:(a) Maximum amount of primary phase in an Al-Si alloy containing 85 wt% aluminium.(b)…

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: Given:The Tension in Cable BC is .The length is .Consider a diagram below:

Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

Required information
A steel bar (Es= 210 GPa) and an aluminum bar (Ea = 70 GPa) are bonded together to form the composite bar shown.
8 mm
8 mm
8 mm
Aluminum
24 mm-
Steel
Determine the maximum stress in steel when the bar is bent about a horizontal axis, with M= 50 N-m.
The maximum stress in steel is -
MPa.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the value of moment of inertia-

VIEW

Step 2: Determine the value of stress-

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A bar of monel metal with a length L = 9 in. and a diameter d = 0225 in. is loaded axially by a tensile force P (see figure). If the bar elongates by 0.0)95 in., what is the decrease in diameter
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
A prismatic bar of length L = 1.8 m and cross-sectional area A = 480 mm" is loaded by forces P{= 30 kN and A = 60 kN (see figure) The bar is constructed of magnesium alloy having a stress-strain curve described by the Ram berg-Osgood equation: 45.000 618 UW id which u has units of mega pascals (MPa). (a) Calculate the displacement 8t- of the end of the bar when the load P:acts alone. (b) Calculate the displacement when the load P, acts alone. (c) Calculate the displacement when both loads act simultaneously.
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
,10-6 A prismatic bar with a diameter d0= 20 mm is being compared with a stepped bar of the same diameter(d| = 20 mm) that is enlarged in the middle region lo a diameter d2= 25 mm (see figure). The radius of the fillets in the stepped bar is 2.0 mm. (a) Does enlarging the bar in the middle region make it stronger than the prismatic bar? Demonstrate your answer by determining the maximum permissible load for the prismatic bar and the maximum permissible load F, for the enlarged bar, assuming that the allowable stress for the material is 80 MPa. (b) What should be the diameter d0of the prismatic bar if it is to have the same maximum permissible load as does the stepped bar?
A circular steel rod AB? (diameter d, = 1.0 in., length L1= 3.0 Ft) has a bronze sleeve (outer diameter d2= 1-25 in., length L2= 1.0 ft) shrunk onto it so that the two parts are securely bonded (see figure). Calculate the total elongation 6 of the steel bar ¦due to a temperature rise AT = 500°F. (Material properties are as follows: For steel, Es= 30 ×106 psi and as= 6.5 × lO6/?; for bronze, Eb= 15 × 106psi and ab= 11 × l0-6/?.)
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
An aluminum bar subjected to tensile Forces P has a length L = 150 in. and cross-sectional area A = 2.0 in2 The stress-strain behavior of the aluminum may be represented approximately by the bilinear stress-strain diagram shown in the figure. Calculate the elongation S of the bar for each of the following axial loads: p = 8 kips, 16 kips. 24 kips, 32 kips, and 40 kips. From these results, plot a diagram of load P versus elongation S (load-displacement diagram).
*16 A prismatic bar AB of length L, cross-sectional area A, modulus of elasticity E, and weight Changs vertically under its own weight (see figure). (a) Derive a formula for the downward displacement Scof point E. located at distance It from the lower end of the bar. (b) What is the elongation SBof the entire bar? (c) What is the ratio £ of the elongation, of the upper half of the bar to the elongation of the lower half of the bar? (d) If bar A B is a riser pipe hanging from a drill rig at sea. what is the total elongation of the pipe? Let L = 1500 m, A - 0.ol57 m2, and E = 210 GPa. See Appendix 1 for weight densities of steel and sea water. (See Probs. 1.4-2 and J.7-13 for additional figures.)
A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in. from the center (sec figure). The bar has a length E = 54 in. and modulus of elasticity E = 10,600 ksi. If the stress in the bar is not to exceed 6 ksi, what is the minimum permissible width bminof the bar?
The cross sectional area of the bar is 5cm^2. Use E = 70GPa for aluminum, and E = 200 GPa for steel a. What is the elongation in segment AB (Aluminum)? b. What is the elongation in segment BC (Steel)? c. What is the elongation in segment CD (Aluminum)? d. What is the total elongation of the bar? -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.