Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 14, Problem 14.33SP
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. For the beam shown, calculate (a) the maximum bending stress; and (b) the
bending stress at a point 0.75 in from the top of the beam at section 5 ft from left
end of the beam.
2000 lb
3000 lb
2 in
3 ft
4 ft
1 ft
5 in
5 ft
Figure 5.5.4
A simply supported beam of hollow rectangular cross section is 100mm deep and 60mm wide with a wall thickness of 10mm. The beam has a span of 6m and carries a load as shown . Neglecting the weight of the beam draw a bending moment diagram and calculate the maximum bending moment. And determine the maximum bending stress in the material.
A simply supported beam, 50mm wide by 100mm high and 300 mm long is subjected to a concentrated load of 3000 N at a point 100 mm from one of the supports.
Draw the shear force and bending moment
diagrams for the beam.
Chapter 14 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 14 - Calculate the section modulus for: (a) a 6 -in-by-...Ch. 14 - Calculate the section modulus (with respect to the...Ch. 14 - Prob. 14.3PCh. 14 - Rework Problem 14.3 changing the orientation of...Ch. 14 - Assume that the timber member (a) of Problem 14.2...Ch. 14 - The structural steel built-up member (b) of...Ch. 14 - A round steel rod, 25 mm in diameter, is subjected...Ch. 14 - A square steel bar, 38 mm on each side, is used as...Ch. 14 - Calculate the moment strength for a W36302...Ch. 14 - Calculate the allowable bending moment for a solid...
Ch. 14 - The beams of cross sections shown are subjected to...Ch. 14 - A solid rectangular simply supported timber beam 6...Ch. 14 - A W1430 supports the loads shown. Calculate the...Ch. 14 - If the allowable shear stress is 100 MPa,...Ch. 14 - A steel pin 112 in diameter is subjected to a...Ch. 14 - A timber power-line pole is 10 in. in diameter at...Ch. 14 - Calculate the value of S and Z and the shape...Ch. 14 - For beams that have cross sections as shown for...Ch. 14 - Calculate the maximum load P that the beam shown...Ch. 14 - A 412 (S4S) hem-fir timber beam carries a...Ch. 14 - A simply supported W1636 A992 steel beam carries a...Ch. 14 - A W250115 steel wide-flange section supports a...Ch. 14 - Assume that the floor joist dimensions of Example...Ch. 14 - Calculate the allowable superimposed uniformly...Ch. 14 - A 3 -in.-by- 12 -in. (S4S) scaffold timber plank...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - Calculate the section modulus with respect to the...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - A timber beam is subjected to a maximum bending...Ch. 14 - Rework Problem 14.31 assuming that the beam is...Ch. 14 - A 12 -in.-diameter steel rod projects 2 ft...Ch. 14 - Calculate the maximum bending stress in a W530101...Ch. 14 - A cantilever cast-iron beam is 6 ft long and has a...Ch. 14 - 14.36 Calculate the moment strength for a...Ch. 14 - A W813 steel wide-flange beam on a 20 -ft span is...Ch. 14 - A simply supported beam with a cruciform cross...Ch. 14 - A rectangular beam 100 mm in width and 250 mm in...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - For the I-shaped timber beam shown, calculate the...Ch. 14 - 14.42 A steel wide-flange beam is oriented so that...Ch. 14 - A W1045steel wide-flange beam supports a uniformly...Ch. 14 - 14.44 A steel wide-flange section is subjected to...Ch. 14 - A W30108 steel wide-flange beam is simply...Ch. 14 - A W612 is strengthened with a 34 -in.-by- 34 -in....Ch. 14 - Four wood boards 1 in. by 6 in. in cross section...Ch. 14 - A lintel consists of two 8 -in.-by- 12 in. steel...Ch. 14 - A 50 -mm-by- 300 -mm scaffold timber plank, placed...Ch. 14 - A laminated wood beam is built up by gluing...Ch. 14 - A rectangular hollow shape carries loads as shown....Ch. 14 - For the beam shown, calculate the maximum tensile...Ch. 14 - 14.53 A box beam is built up of four -in.-by--in....Ch. 14 - 14.54 Find the value of the loads P that can be...Ch. 14 - 14.55 Solve Problem 14.54 assuming that the timber...Ch. 14 - Calculate the values of S and Z and the shape...Ch. 14 - 14.57 A is supported on simple supports on a -ft...
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- QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a B a W B W C b d For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) b C C P C D P Ľ E d E ·x Eyarrow_forwardCompute the maximum stress due to bending in a round rod 20 mm in diameter if it is subjected to a bending moment of 120 N-m.arrow_forward
- The rod has a diameter of 0.5 in. and a weight of 5 lb/ft. i) Calculate the torque and bending moment on the cross-section passing through B. ii) Calculate max shear stress and max bending stress on the cross-section B.arrow_forwardThe 1.5-in diameter solid steel shaft is simply supported at the ends. Two Pulleys are keyed to the shaft where pulley B is of diameter of 4 in and pulley C is of diameter of 8 in. Transverse shear stress needs to be considered. 1) Draw the bending moment diagrams of shaft AD for My and M₂, and indicate the location and the magnitude of the maximum bending moments. 10 in 200 lbf 1000 lbf 10 in 500 lbf 100 lbf 10 in F G Earrow_forwardThe shaft in the diagram below is subjected to bending forces of 8kN at B and 5 kN at C as shown in the diagram. The shaft is supported in bearings near its ends at A and D. Calculate the maximum bending moment in the shaft. Give your answer to 2 d.p. in Nm but do not include units in your answer. e.g. 5000.00 NOT 5000N marrow_forward
- Given that A is a fixed support, B is an internal pin and C is an External pin. Draw the shear force and bending moment diagrams. SHOW ALL CALCULATIONS.arrow_forwarda 80 mm wide and 300 mm high simply supported bean has a length of 7.4 m and supports a concentrated load of 7.2 kN acting at the midspan. Find the maximum shear stress and maximum bending stress.arrow_forwardfrom the diagram below determine the maximum bending moment and draw a bending moment diagramarrow_forward
- Question 3 a. A freight-car axle AB is loaded approximately as shown in figure 3a, with the forces P representing the carloads (transmitted to the axle through the axle boxes) and the forces R representing the rail loads (transmitted to the axle through the wheels). The diameter of the axle is, the distance between the centers of the rails is L, and the distance between the forces P and R is. Calculate the maximum bending stress amax in the axle if. d = 82 mm b = 220 mm P = 50 kN. 2 17 fd b Figure 3a. Freight car axle ||arrow_forwardPart 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A) Let w - 3.5 kips/ft, a-10.0 ft, and b-24.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Calculate the reaction forces By and Cyacting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since B, - 0, it has been omitted from the free-body diagram.) Answers: By- kips kips Part 2 Determine the shear force acting at each of the following locations: (a) x - 10.0- ft (ie, just to the left of support B) (b) x - 10.0+ ft (i.e, just to the right of support B) (c) x- 33.5 ft (d) x = 34.5- ft (i.e., just to the left of support C) Note that x- 0 at point A. When entering your answers, use the shear-force sign…arrow_forwardNeed correct solution. If C is the mid-point of PQ; What is the magnitude of bending moment at fixed end O?arrow_forward
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