Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem 1.3RP
Determine the required thickness of member BC to the nearest
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3. Determine the required thickness of member BC and the diameter of the pins at A and B if the
allowable normal stress for member BC is oa = 30 ksi and the allowable shear stress for the pins is
T= 10 ksi.
2 in.
65
10t
5 kip/It
A pivoting cantilevered chair support is proposed for an industrial equipment application. If the maximum
person weight is 180 lb, determine the greatest distance the chair can extend from the pivoting support at A.
The cantilever is made from 1"x3" aluminum tubing with an allowable normal stress of 20 ksi. Also determine to
the nearest 1/8" the diameter of the steel pin at A needed for the chair support to pivot about. Use 10 ksi as the
allowable shear stress for steel.
180
1 in.
3 in
2.5 in.
--0.5 in.
8 in.
Determine the required thickness of member BC and the diameter of
the pins at A and B if the allowable normal stress for member BC is 29 ksi and the allowable
shear stress for the pins is 10 ksi.
1.5 in.
2 kip/it
Chapter 1 Solutions
Mechanics of Materials (10th Edition)
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)...
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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
- 3. A pivoting cantilevered chair support is proposed for an industrial equipment application. If the maximum person weight is 180 lb, determine the greatest distance the chair can extend from the pivoting support at A. The cantilever is made from 1"x3" aluminum tubing with an allowable normal stress of 20 ksi. Also determine to the nearest 1/8" the diameter of the steel pin at A needed for the chair support to pivot about. Use 10 ksi as the allowable shear stress for steel. 180 1 in. 3 jn. 2.5 in. 0.5 in. - 8 in.arrow_forwardDetermine the required thickness of member BC and the diameter of the pins at A and B if the allowable normal stress for member BC sallow = 29ksi is and the allowable shear stress for the pins is tallow = 10 ksiarrow_forwarddetermine the required diameter of the pin at A if the allowable stress is 60 MPa (double shear).arrow_forward
- Determine the required thickness of member BC and the diameter of the pins at A and B if the allowable normal stress for member BC is oallow allowable shear stress for the pins is 7allow = 10 ksi. 29 ksi and the 1.5 in. 60° 8 ft 2 kip/ftarrow_forwardThe lap joint is fastened by 5 one-inch diameter rivets. For P = 10 kips, determine (1.) the maximum shear stress in the joints, (2.) the maximum bearing stress in the rivets, and (3.) the maximum stress at section a-a.arrow_forwardDetermine the outer diameter (mm) of a tubular rod subjected to an axial force of 40 kN if it developed a stress of 35 MPa. Take note that the inner diameter is 3/6 of the outer diameter.arrow_forward
- Link AB is to be made of steel for which the normal stress is 450 MPa. Determine the cross-sectional area of AB. Assume that the link will be adequately reinforced around the pins at A and B. draw free-body diagramarrow_forwardDetermine the required diameter of the pins at A and B to the nearest 116 in. if the allowable shear stress for the material is tallow = 6 ksi. Pin A is subjected to double shear, whereas pin B is subjected to single shear.arrow_forwardThe yoke-and-rod connection is subjected to a tensile force P. The end of the 40-mm diameter rod is embedded inside a wall at a length I of 100 mm using epoxy adhesive. If the allowable normal stress for the rods is 60 MPa, the allowable shear stress for the 25- mm diameter pin A is 50 MPa, and the allowable shear stress of the epoxy adhesive is 6 MPa, determine the largest force P that can be applied to the assembly. Note: Show your calculations for all types of stresses in detail. 40 mm 30 mm A 25 mm P.arrow_forward
- Each of the four vertical links has an 8 x 36-mm uniform rectangular cross section, and each of the four pins has a 16-mm diameter. Take P= 24 kN. 04 0.25 Determine the maximum value of the average normal stress in the links connecting points Cand E (Input the answer with the appropriate sign.) The maximum value of the average normal stress in the links connecting polnts Cand Eis MPa.arrow_forwardThe five-bolt connection shown must support an applied load of P = 330 kN. If the average shear stress in the bolts must be limited to 295 MPa, determine the minimum bolt diameter that may be used in the connection.arrow_forwardDownvote for incorrect answer The connection is made using a bolt and nut and two washers. If the allowable bearing stress of the washers on the boards is (b)allow 2 ksi, and the allowable tensile stress within the bolt shank S is (allow 18 ksi, determine the maximum = allowable tension in the bolt shank. The bolt shank has a diameter of 0.31 in., and the washers have an outer diameter of 0.75 in. and inner diameter (hole) of 0.50 in.arrow_forward
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