A W10 = 39 rolled-steel beam supports a load P as shown. Knowing that P = 45 kips, a = 10 in., and σall = 18 ksi, determine (a) the maximum value of the normal stress σm in the beam, (b) the maximum value of the principal stress σmax at the junction of the flange and web, (c) whether the specified shape is acceptable as far as these two stresses are concerned.
Fig. P8.1
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
MECHANICS OF MATERIALS-W/CONNECT
Additional Engineering Textbook Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Heating Ventilating and Air Conditioning: Analysis and Design
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
Fundamentals of Heat and Mass Transfer
Machine Tool Practices (10th Edition)
Applied Statics and Strength of Materials (6th Edition)
- Solve Prob A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (Es5 29 3 106 psi, αs5 6.5 3 10–6/°F) and portion BC is made of aluminum (Ea5 10.4 3 106psi, αa5 13.3 3 10–6/°F). Knowing that the rod is initially unstressed, determine (a) the normal stresses induced in portions AB and BC by a temperature rise of 70°F, (b) the corresponding deflection of point B assuming that portion AB of the composite rod is made of aluminum and portion BC is made of steel.arrow_forwardA glue-laminated column of 3-m effective length is to be made from boards of 24 x 100-mm cross section. Knowing that for the grade of wood used, E= 11 GPa and the adjusted allowable stress for com-pression parallel to the grain is σC= 9 MPa, determine the number of boards that must be used to support the centric load shown when (a) P= 34 kN, (b) P= 17 kNarrow_forwardA horizontal shelf AD of length L=1215mm, width b=305mm, and thickness t=22mm is supported by brackets B and C (Fig A). Note that the shelf is symmetric: AB=CD. The brackets are adjustable and may be placed in any desired positions between the ends of the shelf. A uniform load of intensity q, which includes the weight of the shelf itself, acts on the shelf. determine the maximum permissible value of the load q if the allowable bending stress in the self is = 8.5MPa and the position of the support is adjusted for maximum load-carrying capacity.arrow_forward
- Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the alumi-num bar will be equal to –11 ksi, (b) the corresponding exact length of the aluminum bar.arrow_forwardThe aluminum rod ABC (E = 10.1 × 106 psi), which consists of two cylindrical portions AB and BC, is to be replaced with a cylindrical steel rod DE (E = 29 × 106 psi) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation is not to exceed the deformation of the aluminum rod under the same load and if the allowable stress in the steel rod is not to exceed 27 ksi. The minimum required diameter of the steel rod is in.arrow_forwardAn open-link chain is obtained by bending low-carbon steel rods of 0.5-in. diameter into the shape shown (Fig. ). Knowing that the chain carries a load of 160 lb, determine (a) the largest tensile and compressive stresses in the straight portion of a link, (b) the distance between the cen-troidal and the neutral axis of a cross sectionarrow_forward
- Three wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is 12 mm and the inner diameter of each washer is 16 mm, which is slightly larger than the diameter of the holes in the planks. Determine the smallest allowable outer diameter d of the washers, knowing that the average normal stress in the bolts is 36 MPa and that the bearing stress between the washers and the planks must not exceed 8.5 MPa.arrow_forwardFive metal strips, each of 0.5 * 1.5-in. cross section, are bonded together to form the composite beam shown. The modulus of elasticity is 30* 106 psi for the steel, 15 *106 psi for the brass, 10 *106 psi for the aluminum. Knowing that the beam is bent about a horizontal axis by a couple of moment 12 kip·in., determine (a) the maximum stress in each of the three metals, (b) the radius of curvature of the composite beam.arrow_forwardKnowing that the average normal stress in member EF of the Pratt bridge truss shown must not exceed 8.36 ksi for the given loading, determine the cross-sectional area (in sq. in) of this member that will yield the most economical and safe design if h = 14.2 ft and P = 87.28 kips.arrow_forward
- Three wires are used to suspend the plate shown. Aluminum wires of 18-in. diameter are used at A and Bwhile a steel wire of 112-in. diameter is used at C. Knowing that the allowable stress for aluminum (Ea510.4 3 106 psi) is 14 ksi and that the allowable stress for steel (Es529 3 106 psi) is 18 ksi, determine the maximum load P that can be appliedarrow_forwardA standard-weight steel pipe of 12-in. nominal diameter carries water under a pressure of 400 psi. (a) Knowing that the outside diameter is 12.75 in. and the wall thickness is 0.375 in., determine the maximum tensile stress in the pipe. (b) Solve part a, assuming that an extra-strong pipe is used, of 12.75-in. outside diameter and 0.5-in. wall thickness.arrow_forwardA sawn lumber column with a 7.5* 5.5-in. cross section has an 18-ft effective length. Knowing that for the grade of wood used the adjusted allowable stress for compression parallel to the grain isσC= 1200 psi and that the adjusted modulus E= 470 *103 psi, determine the maximum allowable centric load for the column.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY