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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Textbook Question
Chapter 14, Problem 14.18P
For beams that have cross sections as shown for Problem 14.17, calculate the yield moment
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5. A beam of uniform cross section and rectangular is 50mm broad ,75mm deep and 6m
long. It is simply supported at each end and carries a concentrated load of 10kN at
midspan (E=200GN/m²) Neglecting the weight of the beam, calculate the radius of
curvature between the supports and the deflection at midspan.
For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b)
the deflection of the beam at C. Assume a constant value of El = 40 x 10^6 Ib-ft^2 for the beam; wo= 6200 Ib/ft,
LAB = 3.0 ft, LBC = 6 ft, LCD = 3 ft.
please translate the following problem descriptions into al
diagrammatic representation, solve for/draw the shear force and bending moment diagrams and
find the deflection and/or slope as indicated:
3.
A 16 ft. long simply supported beam is loaded by a 1 k/ft uniform distributed load for the
first 6 ft. and (2) point loads, 3 kips each, at 9 ft. and 12 ft. A Structural No. 1 timber (E =
1,600,000 psi) is specified with nominal dimensions of 6x12.
Find the magnitude and location of the maximum deflection.
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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- For the beam and loading shown, use discontinuity functions to compute(a) the slope of the beam at C (positive if counterclockwise and negative if clockwise).(b) the deflection of the beam at C.Assume LAB = 210 mm, LBC = 140 mm, LCD = 120 mm, LDE = 260 mm, MB = 200 N-m, P = 1080 N and a constant value of EI = 590 × 106 N-mm2 for the beam.arrow_forwardFor the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan (i.e., x = 2.45 m). Assume a constant value of El = 1270 kN-m² for the beam; M₁ = 9 kN-m, wo = 19.8 kN/m, LAB = 1.1 m, LBc = 2.7 m. MA A Answer: (a) VA = (b) Vmid i LAB i Wo B LBC mm. mm.arrow_forwardA beam of uniform rectangular section 100 mm wide and 240 mm deep is simply supported at its ends. It carries a uniformly distributed load of 9.125 kN/m run over the entire span of 4 m. Estimate the deflection at the centre if E = 1.1 x 104 N/mm2.arrow_forward
- A simply supported beam is loaded as shown. Use E = 200,000MPa and I=150 x 106 mm4. Compute for the slope at support A, B, and C.arrow_forwardCalculate the modulus of section of rectangle beam of breadth 120 mm and height 200 mm.arrow_forwarda 50mm x 200mm beam is supported has a 2kN load placed 1m from the left reaction. calculate the maximum bending stress when the beam is lying on edge and when lying flat (lying on edge = 33 x 10^-6 m^4 lying flat = 2.08 x 10^-6 m^4)arrow_forward
- Select the lightest wide flange steel section for simple beam of 10 ft span that will carry a uniform load of 10 kips/ft. Use A36 and assume that the beam is supported laterally for its entire length. [Hint: V max = WL/2; M max = L WL²/8]arrow_forwardFor the beam shown: a. Find Reactions at the Hinge and the Roller b, Sketch the Shear Force Diagram c, Sketch the Moment Diagram 450 lb Ib 100 ft A -3 ft>* 9 ft- For a Free Body Diagram V(__) (units) M(. (units)arrow_forwardDraw the (a) axial (b) shear and (c) bending moment diagram of the girders. Use Factor Method for structure (3). All columns have the same area. The beams and columns have the same modulus of elasticity. Assume moment inertia of beams is twice the moment of inertia of columns.arrow_forward
- A simply supported beam with a length L = 11.3 ft and height 7 in. is bent by couples M0 into a circular arc with downward deflection ‘d’ at the midpoint. If the curvature of the beam is 0.003 ft-1, Evaluate the deflection ’d’, at the mid-span of the beam and the longitudinal strain at the bottom fiber given that the distance between the neutral surface and the bottom surface is 3.5 in. Note: Use SI Units.arrow_forwardCalculate the shear force and bending moment in each beam at sections 1-1, 2-2 and 3-3.arrow_forwardA cantilever 8m long carries a uniformly distributed load of 12kN/m from midspan to free end. Determine the deflection at the free end, Find the smallest moment of inertia (in x10^6 mm^4) so that its maximum deflection does not exceed the limit of 1/360 of the span. Use E = 70 GPa. Determine the required depth of beam if it is a rectangular section with width-to-depth ratio of 0.5.arrow_forward
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