Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 9.5, Problem 35P
If column AB is made from high strength precast concrete and reinforced with four
Prob. 9-34/35
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If column AB is made from high strength precast concrete and reinforced with four 3 4 in. diameter A-36 steel rods, determine the maximum allowable floor loadings P. The allowable normal stresses for the concrete and the steel are (sallow)con = 2.5 ksi and (sallow)st = 24 ksi, respectively.
The pin support A and roller support B of the bridge truss are supported on concrete
abutments. If the allowable bearing stress of the concrete is oallow = 2 ksi, determine the
required minimum dimension of the square bearing plates at C and D to the nearest 1/16
in.
150 kip
100 kip
B
200 kip
300 kip 300 kip 300 kip 300 kip
-6 ft --6 ft--6 ft--6 ft--6 ft--6 ft-
*9-56. The CX3400-red-brass rod AB and 2014-T6-
aluminum rod BC are joined at the collar B and fixed
connected at their ends. If there is no load in the members
when T; = 10"C, determine the average normal stress in
cach member when 7; = 45 "C. Alsa, how far will the collar
be displaced? The cross-sectional area af each member is
1130 mm.
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Chapter 9 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 9.2 - In each case, determine the internal normal force...Ch. 9.2 - Determine the internal normal force between...Ch. 9.2 - The post weighs 8 kN/m. Determine the internal...Ch. 9.2 - The rod is subjected to an external axial force of...Ch. 9.2 - The rigid beam supports the load of 60 kN....Ch. 9.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 9.2 - Prob. 2FPCh. 9.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 9.2 - Prob. 4FPCh. 9.2 - Prob. 5FP
Ch. 9.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 9.2 - The A992 steel rod is subjected to the loading...Ch. 9.2 - The copper shaft is subjected to the axial loads...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The 2014-T6 aluminum rod has a diameter of 30 mm...Ch. 9.2 - The A-36 steel drill shaft of an oil well extends...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The rigid bur is supported by the pin-connected...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The coupling rod is subjected to a force of 5 kip....Ch. 9.2 - Prob. 17PCh. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The assembly consists of three titanium...Ch. 9.2 - The rigid beam is supported at its ends by two...Ch. 9.2 - Prob. 22PCh. 9.2 - The steel bar has the original dimensions shown in...Ch. 9.2 - Determine the relative displacement of one end of...Ch. 9.2 - Prob. 25PCh. 9.2 - The truss consists of three members, each made...Ch. 9.2 - Prob. 27PCh. 9.2 - The observation cage C has a weight of 250 kip and...Ch. 9.2 - Determine the elongation of the aluminum strap...Ch. 9.2 - The ball is truncated at its ends and is used to...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - Determine the support reactions at the rigid...Ch. 9.5 - If the supports at A and C are flexible and have a...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 9.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 9.5 - The 10-mm-diametcr steel bolt is surrounded by a...Ch. 9.5 - The assembly consists of two red brass C83400...Ch. 9.5 - The rigid beam is supported by the three suspender...Ch. 9.5 - Prob. 45PCh. 9.5 - If the gap between C and the rigid wall at D is...Ch. 9.5 - The support consists of a solid red brass C83400...Ch. 9.5 - The specimen represents a filament-reinforced...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The three suspender bars are made of A992 steel...Ch. 9.6 - The C83400-red-brass rod AB and 2014-T6-aluminum...Ch. 9.6 - The assembly has the diameters and material...Ch. 9.6 - The rod is made of A992 steel and has a diameter...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - Prob. 61PCh. 9.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 9.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 9.6 - The device is used to measure a change in...Ch. 9.6 - Prob. 65PCh. 9.6 - Prob. 66PCh. 9.6 - Prob. 67PCh. 9.6 - When the temperature is at 30C, the A-36 steel...Ch. 9.6 - The 50-mm-diameter cylinder is made from Am...Ch. 9.6 - The 50-mm-diametcr cylinder is made from Am...Ch. 9.6 - Prob. 71PCh. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - Prob. 74PCh. 9 - The assembly consists of two A992 steel bolts AB...Ch. 9 - The assembly shown consists of two A992 steel...Ch. 9 - The rods each have the same 25-mm diameter and...Ch. 9 - Two A992 steel pipes, each having a...Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The rigid link is supported by a pin at A and two...Ch. 9 - The joint is made from three A992 steel plates...
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- The rigid beam is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. If each bar has a cross-sectional area of 450 mm2, determine the maximum value of P if the allowable stress is (sallow)st = 200 MPa for the steel and (sallow)al = 150 MPa for the aluminum. Est = 200 GPa, Eal = 70 GPa.arrow_forwardThe A-36 steel column, having a cross-sectional area of 10500 mm2, is encased in high-strength concrete as shown. If an axial force of 300kN is applied to the column, determine the compressive stress in the concrete and in the steel. Es = 210GPA and Econc = 29 GPA.arrow_forward9-15. The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load of 50 kN. determine the change in its length and its new cross-sectional dimensions at section aa. E-200 GPa,-029. 50 AN SOLN -20 mm mm s50 mm 50 mm 50 kN 200 mmarrow_forward
- The rigid beam is supported at its ends by two A-36 steel tie rods. The rods have diameters dAB = 0.5 in. and dCD = 0.3 in. If the allowable stress for the steel is sallow = 16.2 ksi, determine the largest intensity of the distributed load w and its length x on the beam so that the beam remains in the horizontal position when it is loaded.arrow_forwardIf column AB is made from high strength precast concrete and reinforced with four 3 4 in. diameter A-36 steel rods, determine the average normal stress developed in the concrete and in each rod. Set P = 75 kip.arrow_forwardThe rigid beam is supported at its ends by two A-36 steel tie rods. If the allowable stress for the steel is sallow = 16.2 ksi, the load w = 3 kip>ft, and x = 4 ft, determine the smallest diameter of each rod so that the beam remainsin the horizontal position when it is loaded.arrow_forward
- 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 1st2allow = 150 MPa and the allowable bearing stress for the wood is 1sb2allow = 28 MPa. Assume that the hole in the washers has the same diameter as the bolt.arrow_forward8-27. The column is built up by gluing the two identical boards together. If the wood has an allowable normal stress of o allow 6 MPa, determine the maximum allowable || eccentric force P that can be applied to the column. 150 mm 250 mm 75 mm 150 mm 50 mm 300 mm Probs. 8–26/27arrow_forwardDetermine the normal stress in each section of the assembly. The diameter of the solid shaft of each section is 0.50 inches. Give the answer in Ib/in?. Assume Point A is a fixed support and the block at A is rigid. Indicate if it is in tension or compression. 3.50 kip 1.75 kip 5.00 kip B 3.50 kip A 1.75 kip 18 in. 12 in.- 16 in: CAR = units %3D IIarrow_forward
- The column is constructed from high-strength concrete and four A-36 steel reinforcing rods. If it is subjected to an axial force of 800 kN, determine the required diameter of each rod (mm) so that one-fourth of the load is carried by the steel and three-fourths by the concrete. Est = 200 GPa, Ec = 25 GPa.arrow_forwardA rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A. OX= Ixy = Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (TR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (TR4)/2. The centroid of a semi-circle is located at 4R/(3n) from the horizontal axis representing the diameter line. 1500 N -37 Mpa 64 Mpa 3.5 Mpa 7.3 Mpa 600 N 37 Mpa -7.3 Mpa 300 mm 100 N·m 800 N 100 mm Barrow_forwardThe column is subjected to an axial force of 8 kN which is applied through the centroid of the cross-sectional area. Determine the average normal stress acting at sectiọn a-a. Show the free body diagram. 8kN 75m |0 mim 75 mm 10 mm 10 mm 70 mm 70 mm aarrow_forward
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