A rectangular link AB made of steel is used to support a load W through a rod CD as shown in figure 1.27. If the link AB is 30mm wide, determine its thickness for a factor of safety 2.5. The ultimate strength of steel may be assumed to be 450 MPa.

A rectangular link AB made of steel is used to support a load W through a rod CD as shown in figure 1.27. If the link AB is 30mm wide, determine its thickness for a factor of safety 2.5. The ultimate strength of steel may be assumed to be 450 MPa.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.13P: Rectangular bars of copper and aluminum are held by pins at their ends, as shown in the figure. Thin...

See similar textbooks

Related questions

Q: 2. The 40mm diameter steel rod AB shown in Figure 2 is resting on frictionless rollers between two…

Q: A 115 m long steel cable with a cross-sectional area of 1.13 x 104 m² is subjected to a tensile…

A: Given , Length of the cable , L =115 m Cross sectional area , A = 1.13*10-4 m2. Force acting , P…

Q: 1. Three vertical rods AB, CD, and EF supports a load of 36 kN. Each of the rods AB and CD has a 200…

A: Given data:- P=36KN, AAB=AEF=200 mm2, AEF=625mm2…

Q: Q2 : The three bars shown in fig are pined at point B which carry a load P and fixed at points A, C…

A: Given: Three bars AB, BD ad CB Cross section of AB=BD=A1 and CB= A2 Young's Modulus of all the bars…

Q: A horizontal bar is supported by two suspended vertical wires 240 mm apart fixed to a rigid support.…

Q: B: Answer the following questions. 1. Calculate the elongation of the cable due to load, if a steel…

Q: A steel bar 300 mm long, 50 mm wide and 40 mm thick is subjected to a pull of 300 kN in the…

Q: Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the…

A: The loads in the different segments of the composite rod are,

Q: A copper bar 50mm in diameter and 2m long is surrounded by a shell of bronze 5mm thick. Compute the…

A: NOTE: My answer is not matching with any of the options even though i have applied the correct…

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 solid circular rod 200 mm long and 20 mm in diameter has an axial force of P. are exposed. The…

A: Step 1: Given data: Length of circular rod L=200 mm. Diameter of circular rod D=20 mm. Axial force…

Q: A thin-walled cylinder shell has an internal diameter of 2m, is fabricated from plates 20mm thick.…

Q: 6. Three wires are used to support the 150-lb force. The wires AB and AC are made of steel, and wire…

A: Tension occurred in a cable due to stretch or pulled It is an internal force that acts all along the…

Q: The axially loaded bar ABCD shown in figure 2 is held between 2 rigid supports. The bar has…

A: The free-body diagram of the given axial bar can be drawn as below, Here, RA and RD are the…

Q: aluminum rod is hanging from one end. The rod is 1 m long and has a square cross section 20 mm by 20…

Q: A steel rod 4m long and 20mm diameter is subjected to an axial tensile load of 45KN. Find the change…

Q: A concentric helical spring is used to support a load of 90 KN. The inner spring has a rate of 495.8…

A: Find the percent load carried by the inner spring.

Q: Determine the tensile forces in the cables AB and BC supporting the load of 250 N for the force…

A: Let's consider the tension force in the cable AB is TAB and in the cable BC is TBC. The free-body…

Q: A plastic rod AB of length L = 520 mm has a diameter d, = 30 mm as shown in Figure Q2(b). A plastic…

A: For the given composite bar it is required to determine: (1) Total elongation of the bar when P = 15…

Q: 1. A load is suspended from a steel wire with a radius of 1 mm. The load extends the wire the same…

Q: A steel cable with nominal diameter 25 mm as shown in Table Q2(a) is used in a construction yard to…

Q: Four steel bars jointly support a mass of 15 Mg as shown. Each bar has a cross-sectional area of 600…

Q: Question 1 D A 10kN 28kN + + 60kN 44kN + 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram…

Q: A ball (100 kg) is supported by hollow cylindrical wires, A, B and O as shown in Figure 4. If all…

Q: To determine the maximum allowable axial force applied to a cylindrical column by four different…

A: Given :

Q: A 20-cm-diameter steel rod is subjected to a tensile load of 1000N at one end and is fixed at the…

Q: 30 kN 90 kN B C 13 30 kN 400 mm 600 mm- The rod shown is made of steel (E= 200 GPa) has a cross…

A: Given Data E=200 GPa A=10-3 m2 lAB=400 mm

Q: For the figure below, Rod BC is made of A-36 steel and has a diameter of 50 mm. Determine the…

Q: Two bars of different materials and same size are subjected to the same tensile force. If the bars…

Q: Question 2: The cross-sectional area for the lattice rods in the figure is A=120 mm2, the modulus of…

A: Solution

Q: Two vertical wires are suspended at a distance of 500 mm apart as shown in Fig. 4.18. Their upper…

Q: 4 The rectangular block of material of length L and cross-sectional area A fits Snugly between two…

A: The internal resisting force applied by the object when an external force is applied on the object…

Q: The modulus of rigidity of a material is 63KN/mm2. A rod of diameter 40mm is subjected to an axial…

A: Given data: The modulus of rigidity is, G=63 kN/mm2. The diameter of the rod is, d=40 mm. The…

Q: A rope 3.5 mm² breaks when a load of 50 kN is applied to it. Estimate the diameter of the same rope…

Q: (b) A plastic rod AB of length L = 550 mm has a diameter d, = 30 mm as shown in Figure Q2(b). A…

A: Answer: (a) The elongation of the rod due to axial force is 2.7 mm. (b) If the sleeve is extended…

Q: Two steel pipes are used to support a 50KN load, as shown below. The pipes are connected to the wall…

A: Draw the FBD and find supports reactions

Q: If you double the length of a column by what factor is it buckling load

A: Given data Double the length of a column

Q: * The rectangular block of material of length L and cross-sectional area A tits snugly between two…

Q: 3. Two rectangular blocks of rubber, each 80 mm wide by 20 mm tall by 40 mm thick (dimension into…

A: Since we only answer up to 3 subparts so we will answer first 3. Please resubmit the question by…

Q: A bar made up of two square sections , one of steel and the other of aluminium is shown in Fig.2 The…

A: Given data: The decrease in length is δl=0.3 mm The modulus of elasticity of steel is Est=205…

Q: Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1)…

Q: It is located on the ground with a safety stress of 50 kg/cm^2. a) Find the biggest P value that can…

A: Safety Stress =50 kg/cm2 Surface area of upper slab A= 20cm×20cm= 400cm2 Surface area of lower block…

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

Q: The stresses at a point in a bar are o, N/mm2 (tensile) and o2 Nmm2 (compressive) as shown in Figure…

A: σ1=30 MPaσ2=-14 MPaτ12=0 MPa Angle of inclined plane with axis of major principal stress=550Angle of…

Q: Three cables having an area of 0.05 in^2 each is carrying the load W as shown. With no stress, the…

A: Find the stress in intermediate wire.

Q: 3. Two rectangular blocks of rubber, each 80 mm wide by 20 mm tall by 40 mm thick (dimension into…

Q: In the max shear stress equation for torsion, the value of c for a rod of diameter = 0.05m is

A: Shear stress is stress which produces due to pressure or forces which does not exceed the elastic…

Q: Figure Q3 shows a steel bar of diameter 16 mm and length 600 mm subjected to axial forces If E =…

Q: Question 1 The cube in Figure Ql made of 200 mm sides of a certain material is subjected to a…

A: Given: The side of the cube is a=200 mm, Volumetric stress =50 N/mm2, The bulk modulus is K=100x103…

Q: Determine the outside diameter of a hollow steel rod that will carry a tensile load of 55,000 kg at…

A: Giventensile load P=55000kgstress σ=1500kg/cm2thickness t=10mm=1cm

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

Example 7:
50 mm
500 mm
W=25 kN
Figure 1.27
A rectangular link AB made of steel is used to support a load W through a rod CD as
shown in figure 1.27. If the link AB is 30mm wide, determine its thickness for a factor of
safety 2.5. The ultimate strength of steel may be assumed to be 450 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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

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 W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion a = 6.5 ×10-6 /?. If the temperature of the beam is raised uniformly by an amount AT = 20°F, calculate the thermal stress aTin the beam.
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A suspender on a suspension bridge consist of a cable that passes over the main cable (see figure) and supports the bridge deck, which is Far below. The suspender is held in position by a metal tie that is prevented from sliding downward by clamps around the suspender cable. Let P represent the load in each part of the suspender cable, and let represent the angle of the suspender cable just above the tie. represent the allowable tensile stress in the metal tie. (a) Obtain a formula for the minimum required cross-sectional area of the lie. (b) Calculate the minimum area if P = 130 kN, = 75°, and allow=80 .
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
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?
A hollow circular tube T of a length L = 15 in. is uniformly compressed by a force P acting through a rigid plate (see figure). The outside and inside diameters of the tube are 3.0 and 2.75 in., respectively. A concentric solid circular bar B of 1.5 in. diameter is mounted inside the lube. When no load is present, there is a clearance c = 0.0I0 in. between the bar B and the rigid plate. Both bar and tube are made of steel having an c[autoplastic stress-strain diagram with E = 29 X LO3 ksi and err= 36 ksi. (a) Determine the yield load Pt- and the corresponding shortening 3yof the lube. (b) Determine the plastic load Ppand the corresponding shortening Spof the tube. (c) Construct a load-displacement diagram showing the load Pas ordinate and the shortening 5 of the tube as abscissa. Hint: The load-displacement diagram is not a single straight line in the region 0 ^ P ^ Pr
Rectangular bars of copper and aluminum are held by pins at their ends, as shown in the figure. Thin spacers provide a separation between the bars. The copper bars have cross-sectional dimensions 0.5 in. × 2.0 in., and the aluminum bar has dimensions 1.0 in. × 2.0 in. Determine the shear stress in the 7/16-in. diameter pins if the temperature is raised by 100°F. (For copper, Et= 18,000 ksi and ac = 9.5 × 10-6/?; for aluminum, Ea= 10,000 ksi and aa= 13 × 10-6/?.) Suggestion: Use the results of Example 2-10
A punch for making a slotted hole in ID cards is shown in the figure part a. Assume that the hole produced by the punch can be described as a rectangle (12 mm X 3 mm) with two half circles (r = 1.5 mm) on the left and the right sides. If P = 10 N and the thickness of the ID card is 1 mm, what is the average shear stress in the card?
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?
Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a concentrated torque 4000 kip-in. at x = 3 ft, and a uniformly distributed torque t0= 50 kip-ft/ft is applied on pipe BC. Let G = 11,800 ksi and assume that pipes AB and BC have the same inner diameter, d = 12 in. Pipe AB has a thickness tAB= 3/4 in., and pipe BC has a thickness tBC= 5/8 in. Find the reactive torques at A and C and the maximum shear stresses in each segment.