EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Chapter 10.3, Problem 76P
To determine
Choose the lightest tube.
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Determine the critical load of a pin-ended wooden stick that is 3 ft long and has a 3/16 × 1 1/4-in. rectangular cross section. Use E = 1.6 × 106 psi. (Round the final answer to two decimal places.)
WITH DESCRIPTION AND STEPS APPLIED, TO HELP ME UNDERSTAND APPROPRIATELY
SA steel tube of 80-mm outer diameter is to carry a 93-kN load P
with an eccentricity of 20 mm. The tubes available for use are made
with wall thicknesses in increments of 3 mm from 6 mm to 15 mm.
Using the allowable-stress method, determine the lightest tube that
can be used. ASsume E = 200 GPa and øy = 250 MPa.
Chapter 10 Solutions
EBK MECHANICS OF MATERIALS
Ch. 10.1 - Knowing that the spring at A is of constant k and...Ch. 10.1 - Two rigid bars AC and BC are connected by a pin at...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - The steel rod BC is attached to the rigid bar AB...Ch. 10.1 - The rigid rod AB is attached to a hinge at A and...Ch. 10.1 - The rigid bar AD is attached to two springs of...Ch. 10.1 - A frame consists of four L-shaped members...Ch. 10.1 - Determine the critical load of a pin-ended steel...Ch. 10.1 - Determine the critical load of a pin-ended wooden...
Ch. 10.1 - A column of effective length L can be made by...Ch. 10.1 - A compression member of 1.5-m effective length...Ch. 10.1 - Determine the radius of the round strut so that...Ch. 10.1 - Determine (a) the critical load for the square...Ch. 10.1 - A column with the cross section shown has a...Ch. 10.1 - A column is made from half of a W360 216...Ch. 10.1 - A column of 22-ft effective length is made by...Ch. 10.1 - A single compression member of 8.2-m effective...Ch. 10.1 - Knowing that P = 5.2 kN, determine the factor of...Ch. 10.1 - Members AB and CD are 30-mm-diameter steel rods,...Ch. 10.1 - The uniform brass bar AB has a rectangular cross...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column AB carries a centric load P of magnitude 15...Ch. 10.1 - Each of the five struts shown consists of a solid...Ch. 10.1 - A rigid block of mass m can be supported in each...Ch. 10.2 - An axial load P = 15 kN is applied at point D that...Ch. 10.2 - An axial load P is applied to the 32-mm-diameter...Ch. 10.2 - The line of action of the 310-kN axial load is...Ch. 10.2 - Prob. 32PCh. 10.2 - An axial load P is applied to the 32-mm-square...Ch. 10.2 - Prob. 34PCh. 10.2 - Prob. 35PCh. 10.2 - Prob. 36PCh. 10.2 - Solve Prob. 10.36, assuming that the axial load P...Ch. 10.2 - The line of action of the axial load P is parallel...Ch. 10.2 - Prob. 39PCh. 10.2 - Prob. 40PCh. 10.2 - The steel bar AB has a 3838-in. square cross...Ch. 10.2 - For the bar of Prob. 10.41, determine the required...Ch. 10.2 - A 3.5-m-long steel tube having the cross section...Ch. 10.2 - Prob. 44PCh. 10.2 - An axial load P is applied to the W8 28...Ch. 10.2 - Prob. 46PCh. 10.2 - A 100-kN axial load P is applied to the W150 18...Ch. 10.2 - A 26-kip axial load P is applied to a W6 12...Ch. 10.2 - Prob. 49PCh. 10.2 - Axial loads of magnitude P = 84 kN are applied...Ch. 10.2 - An axial load of magnitude P = 220 kN is applied...Ch. 10.2 - Prob. 52PCh. 10.2 - Prob. 53PCh. 10.2 - Prob. 54PCh. 10.2 - Axial loads of magnitude P = 175 kN are applied...Ch. 10.2 - Prob. 56PCh. 10.3 - Using allowable stress design, determine the...Ch. 10.3 - Prob. 58PCh. 10.3 - Prob. 59PCh. 10.3 - A column having a 3.5-m effective length is made...Ch. 10.3 - Prob. 61PCh. 10.3 - Bar AB is free at its end A and fixed at its base...Ch. 10.3 - Prob. 63PCh. 10.3 - Prob. 64PCh. 10.3 - A compression member of 8.2-ft effective length is...Ch. 10.3 - A compression member of 9-m effective length is...Ch. 10.3 - A column of 6.4-m effective length is obtained by...Ch. 10.3 - A column of 21-ft effective length is obtained by...Ch. 10.3 - Prob. 69PCh. 10.3 - Prob. 70PCh. 10.3 - Prob. 71PCh. 10.3 - Prob. 72PCh. 10.3 - Prob. 73PCh. 10.3 - For a rod made of aluminum alloy 2014-T6, select...Ch. 10.3 - Prob. 75PCh. 10.3 - Prob. 76PCh. 10.3 - A column of 4.6-m effective length must carry a...Ch. 10.3 - A column of 22.5-ft effective length must carry a...Ch. 10.3 - Prob. 79PCh. 10.3 - A centric load P must be supported by the steel...Ch. 10.3 - A square steel tube having the cross section shown...Ch. 10.3 - Prob. 82PCh. 10.3 - Prob. 83PCh. 10.3 - Two 89 64-mm angles are bolted together as shown...Ch. 10.3 - Prob. 85PCh. 10.3 - Prob. 86PCh. 10.3 - Prob. 87PCh. 10.3 - Prob. 88PCh. 10.4 - An eccentric load is applied at a point 22 mm from...Ch. 10.4 - Prob. 90PCh. 10.4 - Prob. 91PCh. 10.4 - Solve Prob. 10.91 using the interaction method and...Ch. 10.4 - A column of 5.5-m effective length is made of the...Ch. 10.4 - Prob. 94PCh. 10.4 - A steel compression member of 9-ft effective...Ch. 10.4 - Prob. 96PCh. 10.4 - Two L4 3 38-in. steel angles are welded together...Ch. 10.4 - Solve Prob. 10.97 using the interaction method...Ch. 10.4 - A rectangular column is made of a grade of sawn...Ch. 10.4 - Prob. 100PCh. 10.4 - Prob. 101PCh. 10.4 - Prob. 102PCh. 10.4 - Prob. 103PCh. 10.4 - Prob. 104PCh. 10.4 - A steel tube of 80-mm outer diameter is to carry a...Ch. 10.4 - Prob. 106PCh. 10.4 - Prob. 107PCh. 10.4 - Prob. 108PCh. 10.4 - Prob. 109PCh. 10.4 - Prob. 110PCh. 10.4 - Prob. 111PCh. 10.4 - Prob. 112PCh. 10.4 - Prob. 113PCh. 10.4 - Prob. 114PCh. 10.4 - Prob. 115PCh. 10.4 - A steel column of 7.2-m effective length is to...Ch. 10 - Determine (a) the critical load for the steel...Ch. 10 - Prob. 118RPCh. 10 - Prob. 119RPCh. 10 - (a) Considering only buckling in the plane of the...Ch. 10 - Member AB consists of a single C130 3 10.4 steel...Ch. 10 - The line of action of the 75-kip axial load is...Ch. 10 - Prob. 123RPCh. 10 - Prob. 124RPCh. 10 - A rectangular column with a 4.4-m effective length...Ch. 10 - Prob. 126RPCh. 10 - Prob. 127RPCh. 10 - Prob. 128RP
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- * 1. A cantilever machine component, of solid circular cross section with a diameter d and a length of 60 cm, is to be fabricated of an iron-base alloy for which the endurance limit is 360 MPa. The component is to be subjected at the free end to a completely reversed loading of 8800 N maximum value. Ignore stress concentrations and use a factor of safety of 3 to determine the required diameter of the member.arrow_forwardonly HANDWRITTEN answer needed ( NOT TYPED)arrow_forwardDetermine the critical load of a round wooden dowel that is 48 in. long and has a diameter of (a) 0.375 in., (b) 0.5 in. Use E=1.6 *106 psiarrow_forward
- A 7.2 m long A-36 steel tube having the cross section shown in Fig. is to be used as a pin- ended column. Determine the maximum allowable axial load the column can support so that it does not buckle. 찜. 70 mm 7.2 m 75 mm Perarrow_forward12. A column of length 18" and a diameter of 0.25" was tested with both ends pinned. The measured critical load was 172 Ibs. If the modulus of elasticity of the material is 29000 ksi, calculate the theoretical value for the critical load. What is the percent error in the critical load measurement? When the same column was tested with both ends fixed, the measured critical load was 510 lbs. What are the theoretical critical load and the percent error here? Use the formula shown below to calculate the % error. % ERROR = ((Ptheo-Pactual)/Ptheoarrow_forwardQuestion 3 A column of 7 m effective length is to be made by welding two 228 x 12 mm plates to a W200 x 52 as shown. Determine the allowable centric load if a factor of safety of 2.3 is required. Use E = 200 GPa. For an W200 x 52 section, IÂ =(52.7×10°)mmª, I„ = (17.8×10°)mmª . 114 mm 114 mm Ⓒ xarrow_forward
- The piston rod of an air operated press has a length of 2500 mm, with its right-hand end pin connected to the operating lever and the piston end of the rod fix ended. The rod is made of a material whose Sy = 250 MPa and E = 200 GPa. For a factor of safety of 3.5, determine the maximum safe compressive load of the rod in Newtons if its diameter is 47.5 mm. Round your answer to 4 significant figures.arrow_forwardNeed neat and clean handwritten solution. I repeat need handwritten solution. Correct answer will be upvoted. THANK YOUarrow_forwardI Review The column in (Figure 1) is constructed from high- strength concrete and eight A992 steel reinforcing rods. Part A If the column is subjected to an axial force of 200 kip, determine the required diameter of each rod so that 55 % of the axial force is carried by the concrete. Express your answer to three significant figures and include appropriate units. ? Figure d = Value Units Submit Request Answer 4 in | 200 kip Provide Feedback Next > 3 ftarrow_forward
- only HANDWRITTEN answer needed ( NOT TYPED)arrow_forwardRequired information Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at Cand restrained by rigid supports at A and D. It is given that Ea = 10.4 x 106 psi, Es = 29 x 106 psi, and P = 34 kips. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 8 in.10 in.10 in.. 1-in. diameter В. The reaction at A is The reaction at Dis P C Determine the reactions at A and D. 14 kips kips ←. D kips ←. 12-in. diameterarrow_forwardSTRENGTH OF MATERIALS Answer should be: 1.80 cm ; 2.48 cm :)arrow_forward
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