Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840728
Author: Limbrunner
Publisher: PEARSON
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Textbook Question
Chapter 14, Problem 14.39SP
A rectangular beam
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Figure 2 shows a built-up cross-section of a horizontal beam which has a maximum shear force of 100 KN. Calculate the shear stresses and plot the shear stress distribution (Approximate the shear stress at the Neutral axis).
At a given 7 locations/sections (0,1,2,3,4,5,6) on a beam of uniform I-section, the beam is subjected to a shear force of 100 kN. Plot a curve to show the variation of shear stress across the section and hence determine the ratio of the maximum shear stress to the mean shear stress given as;
If the shear force is 50 kN, calculate the shear load per metre length at the top of the flangeof the T-section. [Start your calculations by setting the origin on the bottom of the cross- section].
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 its shear diagram shown below, the distance x is measured from the left end of the beam. The maximum moment occurs where x is ?arrow_forwardCalculate the modulus of section of rectangle beam of breadth 120 mm and height 200 mm.arrow_forwardA 15m hallow circular pole is subjected to wind force that varies uniformly from 1.92kpa at the top to 1.44kpa at the base. The pole is has an outside diameter of 180mm and a wall thickness of 15mm. Compute the maximum shearing stress at the base of the pole and the maximum moment at the base of the pole.arrow_forward
- The channel section shown below is simply supported over a span of 5 m and carries a uniformly distributed load of 15 kN/m run over its whole length. Find shearing-stress distribution diagram at the point of maximum shearing force and mark important values. Determine the ratio of the maximum shearing stress to the average shearing stress.arrow_forwardconsider a beam with two 60-inch-long rods. The rods have a cross section area of 0.50 in 2 . Find the axial stress in each rod, draw the shear and moment diagrams for the beam, and find the maximum stress in the beam.arrow_forwardDetermine the location of the shear center for the beams having the cross-sectional dimensions shown in the figures. All members are to be considered thin walled, and calculations should be based on the centerline dimensionsarrow_forward
- Find the Shear Moment Diagram of the following problems usingONLY AREA METHOD.arrow_forwardA simply supported beam 10 m long has an overhang of 1.1 m at the left support. If a highway uniform load of 12.02 kN/m and a concentrated load of 194 kN, passes thru the beam, compute the maximum positive shear (kN) based on influence line for maximum shear at mid span.arrow_forwardA 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.arrow_forward
- For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. Label the diagrams properly and provide values at all key points within in the diagrams. The dimensions are in millimeters.arrow_forwardCalculate the shear stresses at point A in the adjacent T-beam.F(maks)= 200 kNarrow_forwardConsider a beam with two 60-inch-long rods. both rods have a cross section area of 0.50 in 2 . Find the axial stress in each rod, draw the shear and moment diagrams for the beam, and find the maximum stress in the beam. Please do this without knowing the forces in the rods. it is supposed to be an indeterminate beam. Thank youarrow_forward
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