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 14.48SP
A lintel consists of two
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Draw the shear-force and bending-moment diagram for the beam shown. Assume the upward reaction provided by the ground to be uniformly distributed. Let a = 5.0 ft, b = 3.4 ft, P = 25 kips, and w = 1.1 kips/ft. Label all significant points on each diagram. Determine the maximum value of (a) the internal shear force and (b) the internal bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
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.
A uniform wind load of q = 0.2 kN/m? acts on the billboard with dimensions of b = 1.5 m and a = 1 m.
The allowable normal stress is oalow = 140 MPa, c = 0.5 m for the circular cross section panel pole. Draw
the shear force, bending moment and torsional moment diagrams for the panel pole.
a) Calculate the cross-section diameter d, using the maximum shear stress (Tresca) criterion.
b) Calculate the cross-section diameter d, using the maximum distortional energy (von Mises)
criterion.
SOLUTION
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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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- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 2 m, Lgc = 6 m, LCD = 2 m, PA = 14 kN, WBC= 10 kN/m. Consider the entire 10-m length of the beam and determine: (a) the maximum tension bending stress o at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) σT = (b) oc = i B WBC N LBC WT305 x 41 C LCD 88.9 mm 211.1 mm MPa. MPa.arrow_forwardFor the beams below, draw the shear and bending moment diagrams using both method of sections and area method. Determine the absolute maximum values of the shear and bending moment and indicate the degree of each curve. For problems 2 and 3, note that there are internal hinges at C and B, respectively. Problem 1 Problem 2 50 kN 40 kN/m 20 KN/m 50 Ib 50 kN 25 lb/ft 15 Ib/ft 200 kN-m 10 ft- 5 ft 5 ft -10 ft 5 ft - 100 kN 2 m--im -3 m- Answer: 140 kN Vmax Mmax = 462.5 kN-m Answer: Vmax Mmax = 4250 lb-ft 487.5 lb тахarrow_forwardProblem 1: The steel beam is constructed by welding three rectangular pieces into a complex cross sectional shape, as shown below. The beam is subjected to an internal vertical shear force V = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts about the horizontal neutral axis of the cross section (labeled NA). 10 mm 10 mm. 10 mm 40 mm 20 mm 20 mm M 10 mm 10 mm A (a) Determine the maximum tensile bending stress. (b) Determine the maximum compressive bending stress. (c) Determine the maximum transverse shear stress. (d) Determine the tra erse shear stress in the weld, which is located at point C.arrow_forward
- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBC= 6 m, LCD= 4 m, PA = 10 kN, WBC = 7 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC T WT305 x 41 LCD ↑ 88.9 mm. 211.1 mm D Xarrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LCD = 2 m, PA = 17 kN, WBC = 10 kN/m. Consider the entire 12-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) σT = (b) oc = i i B WBC LBC LCD Ť WT305 x 41 88.9 mm 211.1 mm MPa. MPa. Darrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LcD = 1 m, PA = 9 kN, WBC = 11 kN/m. Consider the entire 11-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC C Z + WT305 x 41 LCD 88.9 mm 211.1 mm Xarrow_forward
- Calculate the normal stress, shear stress, and bending deformation of the beam. (Point A has a pinned support, while point C has a roller support)arrow_forwardA WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.arrow_forwardTypically, an aircraft wing is supported by a single structural spar attached to the main fuselage at the wing root as shown. This arrangement can be idealized as a cantilever beam with a loading distribution characterizing wing pressure. In general, holes are introduced to the structural members to reduce the overall weight of the wing (observe the rib sections shown in B). For the idealized beam arrangement (shown in the C), assume that the cross section of the spar is uniform and has a rectangular cross section (2" x 16"). The material is 2016-T6 Aluminum. If four 7" diameter holes are introduced to the beam (as shown in C, below), what is the maximum increase in normal stress? Ignore the effect of transverse shear. (A) (C) Wing Root (Assumed Fixed) 80 lb/in 1.8' 1.8' (B) 1.8' 9' Wing Root + 1.8' W Wing Tip Fuel Tank Wing Tip (Assumed Free)arrow_forward
- A WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LcD = 2 m, PA = 17 kN, WBC = 10 kN/m. Consider the entire 12-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) 07 = (b) oc= B 287.45 121.1 WBC LBC WT305 x 41 MPa. LCD क 88.9 mm 211.1 mm MPa. Xarrow_forwardThe simply supported beam shown below has distributed load that increases linearly from OkN/m at the centre of the beam to 8kN/m at the right hand end. Determine the reaction forces and plot the bending moment and shear force diagrams. 1.5 m 1.5 m 8 kN/marrow_forwardThe cantilever beam shown is subjected to a concentrated load of P=70800 lb. The cross-sectional dimensions and the moment of inertia of the W16x57 wide-flange shape are: d = 16.4 in. tw=0.430 in. by=7.12 in. ty=0.715 in. 1₂-758 in.4 Compute the value of the shear stress at point H, located at y = 4.8 in. below the centroidal xis. H Answer: Shear stress = psiarrow_forward
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