EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Chapter 10.4, Problem 108P
To determine
Find the width of the lightest rectangular cross section.
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A) Using the ultimate stress found earlier, determine the minimum diameter of post BD required for the post not to fail.
B) Using the ultimate stress found earlier, determine the minimum diameter of post CE required for the post not to fail.
A timber column, 8in. by 8in. in cross section is reinforced on all four sides by steel plates, each plate being 8in. wide and "t"in. thick. Determine the smallest value of "t" for which the column can support an axial load of 300 kips if the working stresses are 1200psi for timber and 20ksi for steel. The moduli of elasticity are 1.5x10^6psi for timber and 29x10^6psi foe steel
-Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.
12. The frame shown carries a load P = 500 lb. If a = b = 10 inches, e = 18 inches, and s = 3/8 inch. Determine
the stress in strut BD in ksi.
sotim d-d:
a.
6.22
c.
9.05
b. 7.36
d. 9.81
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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- A timber column, 8 in. by 8 in. in cross section, is reinforced on all four sides by steel plates, each plate being 8 in. wide and t in. thick. Determine the smallest value of tfor which the column can support an axial load of 300 kips if the working stresses are 1200 psi for timber and 20 ksi for steel. The moduli of elasticity are 1.5 x106psi for timber and 29 x 106psi for steel.arrow_forwardProblem 04.103 - Steel W-beam loaded with up to three axial loads As many as three axial loads, each of magnitude P= 50 kN, can be applied to the end of a W200 × 31.1 rolled-steel shape. 80 mm- -80 mm 777 Problem 04.103.b - Stress in a flange when only two axial loads are applied Determine the stress at point A if loads are applied at points 1 and 2 only. The stress at point A is MPa.arrow_forwardA lightweight lever consists of a 0.8m solid bar rigidly mounted to a large structure and a 0.5m solid lever welded to the solid bar. Using the loading indicated and assuming the material has a Young's Modulus of 200 GPa and a shear modulus of 86 GPa, calculate: (a) the maximum stress at Point A on the Cross-section a-a, (b) the vertical displacement of the knob when the load is applied relative to Cross-section a-a. B C 50 mm Section ad a 0.8 m 0.5 m 100 N 38 mm Focusarrow_forward
- A 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_forwardA pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 2.2 in.². Assume a = 4.00 ft and b = 4.80 ft. If the normal stress in each member must not exceed 55 ksi, determine the maximum load Pmax that may be supported by the structure. D Answer: Pmax= kips iarrow_forwardA rectangular column is made of a grade of sawn wood that has an adjusted allowable stress for compression parallel to the grain σC = 8.3 MPa and a modulus of elasticity E = 11.1 GPa. Using the allowable-stress method, determine the largest allowable effective length L that can be used. Take P = 88 kN. (Round the final answer to two decimal places.) The largest allowable effective length L that can be used is m.arrow_forward
- A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 3.6 in.². Assume a = 4.25 ft and b = 5.10 ft. If the normal stress in each member must not exceed 55 ksi, determine the maximum load Pmax that may be supported by the structure. Answer: Pmax Mi B E kipsarrow_forwardThe rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 7 mm2. The cross-sectional area of rod (2) is 18 mm2. For a uniformly distributed load of w = 2.7 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 5.65 m.arrow_forwardThe rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 10 mm2. The cross-sectional area of rod (2) is 18 mm2. For a uniformly distributed load of w = 2.4 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 5.25 m.arrow_forward
- The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 10 mm2. The cross-sectional area of rod (2) is 19 mm2. For a uniformly distributed load of w = 3.5 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 4.55 m.arrow_forward2. The assembly shown below is subjected to the load P applied at 30°. The cylindrical pins at A, B, C, D, and E are identical and made of the same material whose allowable shear stress Tallow = 40.0 MPa and has a diameter of d = 3.0 mm. Determine the maximum load P that can be applied. 1 m 1 m P C 30 B. 45° 3 marrow_forwardEach of the three rolled-steel beams shown (numbered 1, 2, and 3) is to carry a 64-kip load uniformly distributed over the beam. Each of these beams has a 12-ft span and is to be supported by the two 24-ft rolled-steel girders AC and BD. The allowable normal stress for the steel used is 22.5 ksi. Determine the section modulus for each girder and select the most economical W shape for the two girders using the table given below. (Round the final answer to one decimal place.)arrow_forward
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