MECHANICS OF MATERIALS (LOOSE)-W/ACCESS
10th Edition
ISBN: 9780134583228
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1.5, Problem 1.53P
The bar has a cross-sectional area of 400(10−6) m2. If it is subjected to a uniform axial distributed loading along its length of 9 kN/m, and to two concentrated loads as shown, determine the average normal stress in the bar as a function of x for 0.6 m < x ≤ 1.5 m.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The bar has a cross-sectional area of 400(10−6) m2. If it is subjected to a uniform axial distributed loading along its length of 9 kN>m, and to two concentrated loads as shown, determine the average normal stress in the bar as a function of x for 0.6 m 6 x … 1.5 m.
The solid circular rod has a cross-sectional area of 360 mm². It is subjected to a uniform axial distributed loading along its length of w=
8 kN/m. Two concentrated loads also act on the rod: P = 7 kN and Q = 3 kN. Determine the normal stress in the rod at x = 0.1 m. Assume
a=0.4 m and b = 1.3 m.
a
B
b
The solid circular rod has a cross-sectional area of 440 mm². It is subjected to a uniform axial distributed loading along its length of w =
10 kN/m. Two concentrated loads also act on the rod: P = 3 kN and Q = 4 kN. Determine the normal stress in the rod at x = 1.5 m.
Assume a = 0.7 m and b = 1.3 m.
a
Answer: σ= i
B
b
MPa
Chapter 1 Solutions
MECHANICS OF MATERIALS (LOOSE)-W/ACCESS
Ch. 1.2 - In each case, explain how to find the resultant...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - Determine the resultant internal normal force,...Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal normal and shear...Ch. 1.2 - Determine the resultant internal loadings acting...
Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - Determine the resultant internal loadings at cross...Ch. 1.2 - The beam supports the distributed load shown....Ch. 1.2 - The beam supports the distributed load shown....Ch. 1.2 - The boom DF of the jib crane and the column DE...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The blade of the hacksaw is subjected to a...Ch. 1.2 - The beam supports the triangular distributed load...Ch. 1.2 - The beam supports the distributed load shown....Ch. 1.2 - The shaft is supported at its ends by two bearings...Ch. 1.2 - The shaft is supported at its ends by two bearings...Ch. 1.2 - The hand crank that is used in a press has the...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - The metal stud punch is subjected to a force of...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - Determine the resultant internal loadings acting...Ch. 1.2 - The pipe has a mass of 12 kg/m. If it is fixed to...Ch. 1.2 - If the drill bit jams when the brace is subjected...Ch. 1.2 - The curved rod AD of radius r has a weight per...Ch. 1.2 - A differential element taken from a curved bar is...Ch. 1.5 - In each case, determine the largest internal shear...Ch. 1.5 - Determine the largest internal normal force in the...Ch. 1.5 - Determine the internal normal force at section A...Ch. 1.5 - The lever is held to the fixed shaft using the pin...Ch. 1.5 - The single-V butt joint transmits the force of 5...Ch. 1.5 - The uniform beam is supported by two rods AB and...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - Determine the average normal stress on the cross...Ch. 1.5 - If the 600-kN force acts through the centroid of...Ch. 1.5 - Determine the average normal stress at points A,...Ch. 1.5 - Determine the average normal stress in rod AB if...Ch. 1.5 - The supporting wheel on a scaffold is held in...Ch. 1.5 - Determine the largest intensity w of the uniform...Ch. 1.5 - The bar has a cross-sectional area A and is...Ch. 1.5 - The small block has a thickness of 0.5 in. If the...Ch. 1.5 - If the material fails when the average normal...Ch. 1.5 - If the block is subjected to a centrally applied...Ch. 1.5 - The plate has a width of 0.5 m. If the stress...Ch. 1.5 - The board is subjected to a tensile force of 200...Ch. 1.5 - The boom has a uniform weight of 600 lb and is...Ch. 1.5 - Determine the average normal stress in each of the...Ch. 1.5 - If the average normal stress in each of the...Ch. 1.5 - Determine the maximum average shear stress in pin...Ch. 1.5 - If P=5 kN, determine the average shear stress in...Ch. 1.5 - Determine the maximum magnitude P of the loads the...Ch. 1.5 - The column is made of concrete having a density of...Ch. 1.5 - The beam is supported by two rods AB and CD that...Ch. 1.5 - The beam is supported by two rods AB and CD that...Ch. 1.5 - If P = 15 kN, determine the average shear stress...Ch. 1.5 - The railcar docklight is supported by the...Ch. 1.5 - The plastic block is subjected to an axial...Ch. 1.5 - The two steel members are joined together using a...Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The two members used in the construction of an...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The 2-Mg concrete pipe has a center of mass at...Ch. 1.5 - The pier is made of material having a specific...Ch. 1.5 - Rods AB and BC have diameters of 4 mm and 6 mm,...Ch. 1.5 - The uniform bar, having a cross-sectional area of...Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The bar has a cross-sectional area of 400(106) m2....Ch. 1.5 - The prismatic bar has a cross-sectional area A. If...Ch. 1.5 - The prismatic bar has a cross-sectional area A. If...Ch. 1.5 - The bars of the truss each have a cross-sectional...Ch. 1.5 - The bars of the truss each have a cross-sectional...Ch. 1.5 - Determine the largest load P that can be applied...Ch. 1.5 - Determine the greatest constant angular velocity ...Ch. 1.5 - The radius of the pedestal is defined by r =...Ch. 1.7 - Rods AC and BC are used to suspend the 200-kg...Ch. 1.7 - If it is subjected to double shear, determine the...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If each of the three nails has a diameter of 4 mm...Ch. 1.7 - The strut is glued to the horizontal member at...Ch. 1.7 - Determine the maximum average shear stress...Ch. 1.7 - If the eyebolt is made of a material having a...Ch. 1.7 - If the bar assembly is made of a material having a...Ch. 1.7 - Determine the maximum force P that can be applied...Ch. 1.7 - The pin is made of a material having a failure...Ch. 1.7 - If the bolt head and the supporting bracket are...Ch. 1.7 - Six nails are used to hold the hanger at A against...Ch. 1.7 - If A and B are both made of wood and are 38 in....Ch. 1.7 - Prob. 1.70PCh. 1.7 - The connection is made using a bolt and nut and...Ch. 1.7 - The tension member is fastened together using two...Ch. 1.7 - The steel swivel bushing in the elevator control...Ch. 1.7 - The spring mechanism is used as a shock absorber...Ch. 1.7 - Determine the size of square bearing plates A and...Ch. 1.7 - Determine the maximum load P that can be applied...Ch. 1.7 - Determine the required diameter of the pins at A...Ch. 1.7 - If the allowable tensile stress for wires AB and...Ch. 1.7 - If the allowable tensile stress for wires AB and...Ch. 1.7 - The cotter is used to hold the two rods together....Ch. 1.7 - Determine the required diameter of the pins at A...Ch. 1.7 - The steel pipe is supported on the circular base...Ch. 1.7 - The boom is supported by the winch cable that has...Ch. 1.7 - The boom is supported by the winch cable that has...Ch. 1.7 - The assembly consists of three disks A, B, and C...Ch. 1.7 - The two aluminum rods support the vertical force...Ch. 1.7 - The two aluminum rods AB and AC have diameters of...Ch. 1.7 - Determine the required minimum thickness t of...Ch. 1.7 - Determine the maximum allowable load P that can be...Ch. 1.7 - The compound wooden beam is connected together by...Ch. 1.7 - The hanger is supported using the rectangular pin....Ch. 1.7 - The hanger is supported using the rectangular pin....Ch. 1.7 - The rods AB and CD are made of steel. Determine...Ch. 1.7 - The aluminum bracket A is used to support the...Ch. 1.7 - If the allowable tensile stress for the bar is...Ch. 1.7 - The bar is connected to the support using a pin...Ch. 1 - The beam AB is pin supported at A and supported by...Ch. 1 - The long bolt passes through the 30-mm-thick...Ch. 1 - Determine the required thickness of member BC to...Ch. 1 - The circular punch B exerts a force of 2 kN on the...Ch. 1 - Determine the average punching shear stress the...Ch. 1 - The 150 mm by 150 mm block of aluminum supports a...Ch. 1 - The yoke-and-rod connection is subjected to a...Ch. 1 - The cable has a specific weight (weight/volume)...
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
- The bar has a cross-sectional area of 400(10−6) m2. If it is subjected to a uniform axial distributed loading along its length and to two concentrated loads, determine the average normal stress in the bar as a function of x for 0.5 m 6 x … 1.25 m.arrow_forwardIf the load has a weight of 2940 N, determine the magnitude of the maximum compressive normal stress developed on the cross section of the supporting member at section a- a, where L= 700 mm, and the radius r= 30 mm. Section a - a 98.089 MPa O 49.564 MPa 8.665 MPa 96.009 MPa O 96.945 MPa O 97.049 MPaarrow_forwardThe steel rod has a circular cross section. If it is loaded by a 500 lb vertical force as shown, determine the normal stress at point A and B on the cross section. Oat A = Oat B = в A 0.6 in | 500 lb 4 in 1.5 in B 2.7 inarrow_forward
- The solid circular rod has a cross-sectional area of 360 mm². It is subjected to a uniform axial distributed loading along its length of w= 8 kN/m. Two concentrated loads also act on the rod: P = 5 kN and Q = 2 kN. Determine the normal stress in the rod at x = 0.4 m. Assume a=0.7 m and b=0.9 m. barrow_forwardThe solid circular rod has a cross-sectional area of 470 mm². It is subjected to a uniform axial distributed loading along its length of w = 8 kN/m. Two concentrated loads also act on the rod: P = 5 kN and Q = 7 kN. Determine the normal stress in the rod at x = 1.4 m. Assume a = 0.5 m and b = 1.2 m. A -> a Answer: 0 = i B W b C MPa Qarrow_forwardThe solid circular rod has a cross-sectional area of 460 mm². It is subjected to a uniform axial distributed loading along its length of w 8 kN/m. Two concentrated loads also act on the rod: P = 3 kN and Q = 6 kN. Determine the normal stress in the rod at x = 1.5 m. Assume a = 0.7 m and b = 1.2 m. W ->P Q A B x a Answer: 0 = i MPa barrow_forward
- The solid circular rod has a cross-sectional area of 450 mm². It is subjected to a uniform axial distributed loading along its length of w= 7 kN/m. Two concentrated loads also act on the rod: P = 4 kN and Q = 6 kN. Determine the normal stress in the rod at x = 1.3 m. Assume a = 0.5 m and b = 1.0 m. W B x a P barrow_forwardThe solid circular rod has a cross-sectional area of 460 mm². It is subjected to a uniform axial distributed loading along its length of w= 8 kN/m. Two concentrated loads also act on the rod: P = 3 kN and Q = 5 kN. Determine the normal stress in the rod at x = 0.9 m. Assume a = 0.6 m and b = 1.0 m. B MPa a Answer: 0 = i barrow_forwardThe screw of the clamp exerts a compressive force of 500 lb on the wood blocks. Determine the maximum normal stress along section a–a. The cross section is rectangular, 0.75 in. by 0.50 in.arrow_forward
- X a W -P B b Q The solid circular rod has a cross-sectional area of 330 mm2. It is subjected to a uniform axial distributed loading along its length of w = 8 kN/m. Two concentrated loads also act on the rod: P = 2 kN and Q = 3 kN. Determine the normal stress in the rod at x = 1.4 m. Assume a = 0.5 m and b = 1.1 m. Answer: 0 = MPaarrow_forwardX A purse hook is used to hang a handbag from the edge of a table with L = 50 mm. If the cross section at a-a has a diameter of d = 3 mm and the hook is supporting a purse with a mass of 3 kg, determine the normal stress profile. For what value of y (using the coordinates pictured for section a-a) with the normal stress be zero. If it is never zero enter "nde" for "not defined". N -L→ a. a AB C Follow sign convention that tension is positive and compression is negative. Normal stress at point A, σA= MPa Normal stress at point B, σB = MPa Normal stress at point C, σc = MPa y position where normal stress equals zero = mm Section a-a darrow_forwardThe solid circular rod has a cross-sectional area of 350 mm². It is subjected to a uniform axial distributed loading along its length of w = 5 kN/m. Two concentrated loads also act on the rod: P = 5 kN and Q = 6 kN. Determine the normal stress in the rod at x = 1.1 m. Assume a = 0.5 m and b = 1.4 m. W A B MPa >x a Answer: 0 = i barrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY