MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Question
Chapter 1.7, Problem 90P
To determine
The diameter of the bolt at
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2. The bar AC is supported by a pin at A and a cable that runs from B to E around the frictionless pully at D. If the
allowable tensile stress oallow = 5.2 ksi for the cable, determine the required minimum diameter (inch) of the cable. The
cylinder (connected at C) weighs 890 lb. Neglect weight and thickness of the bar AC.
D
4
3
A
C
5 ft
5 ft
-4 ft
890
lb
Answer the following.
If the allowable bearing stress for the material under the supports at A and B is σb = 820 psi, determine the maximum load Pmax that can be applied to the beam. The bearing plates each have square cross sections of 5 in. by 5 in. The reactions at the supports are vertical. Assume w = 650 lb/ft, a = 10 ft, and b = 5 ft.
Q2/ Segments AB and BC of the assembly below are made from 6061-T6 aluminum. If a
couple forces P = 5 kip are applied to the lever am, Determine (a) the reactions at the
fixed supports A and C and (b) the shear stress developed at a point located 1 in. from the
center-line of the bar at a cross-section close to point A.
4 ft
2.5 ft
2.5 ft
E
6 ft
4 in.
4 in.
Chapter 1 Solutions
MECHANICS OF MATERIALS
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 torque acting on...Ch. 1.2 - Determine the resultant internal loadings in the...
Ch. 1.2 - The shaft is supported by a smooth thrust bearing...Ch. 1.2 - Determine the resultant internal loading on the...Ch. 1.2 - Determine the resultant internal loading on the...Ch. 1.2 - The 800-lb load is being hoisted at a constant...Ch. 1.2 - Determine resultant internal loadings acting on...Ch. 1.2 - Determine the resultant internal normal force...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - Determine the resultant internal loadings on the...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 - Determine the resultant internal loadings on the...Ch. 1.2 - Determine the resultant internal loadings on the...Ch. 1.2 - The sky hook is used to support the cable of a...Ch. 1.2 - Determine the resultant internal torque acting on...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 on the...Ch. 1.2 - The metal stud punch is subjected to a force of...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 - A force of 80 N is supported by the bracket....Ch. 1.2 - The curved rod has a radius r and is fixed to the...Ch. 1.2 - The pipe assembly is subjected to a force of 600 N...Ch. 1.2 - If the drill bit jams when the handle of the hand...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 - 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 - A 175-lb woman stands on a vinyl floor wearing...Ch. 1.5 - Determine the largest intensity w of the uniform...Ch. 1.5 - The specimen failed in a tension test at an angle...Ch. 1.5 - The built-up shaft consists of a pipe AB and solid...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 member 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 - The 150-kg bucket is suspended from end E of the...Ch. 1.5 - The 150-kg bucket is suspended from end E of the...Ch. 1.5 - If the pedestal is subjected to a compressive...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 - The beam is supported by a pin at B and a short...Ch. 1.5 - The railcar docklight is supported by the...Ch. 1.5 - The plastic block is subjected to an axial...Ch. 1.5 - During a tension test, the wooden specimen is...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 - Prob. 54PCh. 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 - Prob. 58PCh. 1.5 - The uniform bar, having a cross-sectional area of...Ch. 1.5 - Prob. 60PCh. 1.5 - Prob. 61PCh. 1.5 - The triangular blocks are glued along each side of...Ch. 1.5 - The triangular blocks are glued along each side of...Ch. 1.5 - Prob. 64PCh. 1.5 - Determine the maximum magnitude P of the load the...Ch. 1.5 - Prob. 66PCh. 1.5 - Prob. 67PCh. 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. 70PCh. 1.7 - The connection is made using a bolt and nut and...Ch. 1.7 - Determine the required cross-sectional area of...Ch. 1.7 - Prob. 73PCh. 1.7 - The spring mechanism is used as a shock absorber...Ch. 1.7 - Prob. 75PCh. 1.7 - The hangers support the joist in such a way that...Ch. 1.7 - Prob. 77PCh. 1.7 - Prob. 78PCh. 1.7 - The two aluminum rods AB and BC have diameters of...Ch. 1.7 - The cotter is used to hold the two rods together....Ch. 1.7 - Prob. 81PCh. 1.7 - The 60mm60mm oak post is supported on the pine...Ch. 1.7 - Prob. 83PCh. 1.7 - Prob. 84PCh. 1.7 - The assembly consists of three disks A, B, and C...Ch. 1.7 - Prob. 86PCh. 1.7 - Prob. 87PCh. 1.7 - Prob. 88PCh. 1.7 - Prob. 89PCh. 1.7 - Prob. 90PCh. 1.7 - Prob. 91PCh. 1.7 - Prob. 92PCh. 1.7 - Prob. 93PCh. 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)...
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Similar questions
- If the allowable bearing stress for the material under the supports at A and B is σb = 610 psi, determine the maximum load Pmax that can be applied to the beam. The bearing plates each have square cross sections of 4 in. by 4 in. The reactions at the supports are vertical. Assume w = 650 lb/ft, a = 10 ft, and b = 5 ft.arrow_forward6.arrow_forwardDetermine the size of square bearing plates A′ and B′ required to support the loading. Take P = 1.5 kip. Dimension the plates to the nearest 1 2 in. The reactions at the supports are vertical and the allowable bearing stress for theplates is (sb)allow = 400 psi.arrow_forward
- 1-105. The compound wooden beam is connected together by a bolt at B. Assuming that the connections at A, B, C, and D exert only vertical forces on the beam, determine the required diameter of the bolt at B and the required outer diameter of its washers if the allowable tensile stress for the bolt is (o,)allow = 150 MPa and the allowable bearing stress for the wood is (o,)allow= 28 MPa. Assume that the hole in the washers has the same diameter as the bolt. 2 kN 3 kN 1.5 kN -2 m -2 m +1.5 m--1.5 m+1.5 m--1.5 m- ID B Prob. 1-105arrow_forwardDetermine the maximum value of the force P (kN) that can be applied to member AD if the allowable stress is 200 MPa and the maximum upward displacement of point A is 3 mm. Use E=100 GPa The values of the cross-sectional area, and L1, L2, and L3 are given in table below for each student. P A L1 12 kN L2 9 kN L3 LI (m) (m) Student Cross-sectional area L2 L3 ID (mm?) (m) 1.45 1131731 200 3.8 1.2arrow_forwardA simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1200 mm2. Assume a = 2.1 m, b = 6.5 m, and c = 2.8 m. If P = 40 kN and Q = 90 kN, determine the normal stress in each member.arrow_forward
- Rod BD is made of steel (E = 29 × 106 psi) and is used to brace the axially compressed member ABC. The maximum force that can be developed in member BD is 0.02P. If the stress must not exceed 18 ksi and the maximum change in length of BD must not exceed 0.001 times the length of ABC, determine the smallest-diameter rod that can be used for member BD. Take P = 148 kips.The smallest-diameter rod that can be used for member BD is in.arrow_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_forwardAt point A & C, the beam is pin connected. Therefore, find the average normal stress in the 20-mm-diameter cable AB and CD and the average shear stress in the 15-mm-diameter pin at B and D.arrow_forward
- The tube has an inner diameter d; = 20 mm and an outer diameter d, = 22 mm. It is subjected to an internal pressure of 1 MPa and the loads shown below. Determine the stress at point A and draw it on a stress element. 200 mm 400 mm 150 N-m 600 N 1500 N 800 Narrow_forward4. Determine the maximum normal stress developed in a bar when it is subjected to an axial load of P = 8 kN. P 40 mm 5 mm 20 mm r = 10 mm 20 mm Parrow_forwardThe solid circular rod has a cross-sectional area of 410 mm². It is subjected to a uniform axial distributed loading along its length of w = 9 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 = 0.5 m. Assume a = 0.7 m and b = 1.3 m. A B MPa x a Answer: 0 = i barrow_forward
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