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 14.39SP
A rectangular beam
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1.
2.
10 mm
10 mm
3.
5 mm
100 mm
A beam section as shown in the sketch is subjected to a bendingmoment of Mx = 4 kN.m and a shear force
of V = 2.5KN.
50 mm
100 mm
Calculate the position of the centroid and the the second moment of area of the section about the
sentroid horizontally.
Draw the bending stress distribution through the height of the beam by calculating the bending stress
at the critical positions
Draw the shear stress distribution trough the height of the beam by calculating the shear stress
below the flanges and at the centroid.
4. Draw the stress condition below the flanges, at the centroid and at the top and bottom of the
beam.(7)
5. Draw the shearflow through the section. Show calculations
A vertical loads of 400 N acts at the end of a horizontal rectangular cantilever
beam 2 m long and 25 mm wide. If the allowable bending stress is 130 MN/m^2, find the
depth of the beam in mm
2. Calculate the maximum shear stress and maximum bending stress in the section shown if
the total shear load applied is 5,000 lbs and the bending moment M is 400,000 in-lb. The
properties for the upper and lower spar caps are given below and assume the web to be
effective in resisting bending stress. Show complete solution and dimensional
analysis
|------
10" -
0.051"
0.5"
F
1 = 0.15 in.4
A=0.8 in.²
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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- 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;arrow_forwardCalculate the maximum normal bending stress and the maximum shear stressarrow_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
- If a beam has a rectangular cross section of heigh 300mm and width 60mm. In one cross section plane the beam experiences a shear force of 2x10^6 N. How do I work out the; 1 - shear stress at neutral axis 2 - the bottom surface 3 - 20mm from the top surfacearrow_forwardFrom the given beam shown below, find the shear value on segment BC (VBC). 40kr/m 75kum Im The B ↓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 dimensions.arrow_forward
- If the beam is subjected to a shear force of V = 40 kN, a. Compute the shear stress at the web and flange interface b. Compute the shear stress 10 mm below the uppermost part of the cross section of the beam 200 mm 30 mm 280 mm 25 mmarrow_forwardConsider an 8-m long simply supported T-beam with overhangs loaded as shown below. 200 mm w kN/m 50 mm 50 kN-m 50 kN-m 200 mm 2 m 4 m 2 m 50 mm 1. Determine the location of the neutral axis measured from the top of the beam and the moment of inertia (in mm4) of the section about its neutral axis. Draw the shear and bending moment diagrams. Annotate all relevant values and distances. Determine the magnitude of the maximum negative 2. moment. Determine the minimum allowable strength of the beam in tension and the minimum allowable strength of the beam in compression. 3. Determine the maximum allowable load, w (in kN/m), that can be applied pn the beam. 4. B.arrow_forwardAnswer the given beam, plot the shear and moment grapharrow_forward
- 1. Find the reaction forces and moment value at Point A (fixed support) and draw Shear & Moment Diagrams. Also, calculate the maximum and minimum in-plane shear for a rectangular cross-section width of 4" and height of 6". 10' 5 lb * 10' 20 lb Xarrow_forward30 kN/m 50 kN-m A C D 3 m 1m 2 m Draw the shear and bending moment diagrams of the beam. Label all important points and distances. Annotate the degrees of curves. Show all supporting calculations. 1. Determine the location of zero shear relative to A. Determine the magnitude of internal bending moment at the location in item 1. 2. 3. Determine the magnitude of maximum shear and its location relative to A. 4. Determine the magnitude of the maximum bending moment and its location relative to A.arrow_forwardConstruct the shear force diagram for the beam. Determine the shear force at the following points: x = 13.2 ft. (-) (i.e. just to the left of point C) V = Round-off answer to integer Add your answer lbarrow_forward
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