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 14.11P
The beams of cross sections shown are subjected to a total shear force of
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Students have asked these similar questions
Problem 2. Consider a rod with radius c, subject to
shear force V. Clearly show the Neutral Axis on the
cross-sectional area. Determine the maximum
shear stress from the shear formula t=VQ/(It)
and identify where these maximum shear stresses
occur; write magnitude in terms of V and c. Identify
the section area and section area centroid used to
calculate the maximum first area moment max
What is the shear stress at points A
У А
where t=t,
max
and B? What is the shear stress at the centroid?
What is the shear stress at points F and E at the top
and bottom? By what factor is the maximum shear stress greater than the average shear stress acting over
the cross-section.
The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown with
intensity w=300 N/m. Determine the largest positive and negative shear forces and internal bending
moments that occur in the beam and the points along the length where each occurs. Take x = 0 to be at
point A at the left edge of the beam.
CC
BY NC SA
2016 Eric Davishahl
A
X
-a-
B
W
-b-
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
b
3 m
4 m
The maximum negative internal shear force is
to the right of A.
N and occurs at x
The maximum positive internal shear force is
to the right of A.
The maximum negative internal bending moment is
m to the right of A.
The maximum positive internal bending moment is
m to the right of A.
N and occurs at x =
Nm and occurs at x =
Nm and occurs at x =
៩
m
m
Determine the internal shear force at a location of x = 0.3 m for the following beam in kN.
3m
8 kN
4 m
X
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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- Determine the internal shear force at a location of x = 4.2 m for the following beam in kN. 3m 5 KN f(x) = 2 (kN/m) 5marrow_forward1. The wide-flange beam is subjected to a shear force of V = 20 kN. Determine the shear stress distribution in the beam.arrow_forwardA member having the dimensions shown is used to resist an internal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown) (b) about the y axis. Sketch the stress distribution for each case. Take: M= 90 kNm A mm A= 200 mm B= 150 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are I;-4 1 - AB³ 12 (10) m* I BA = (10) m*arrow_forward
- Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure, с - 12.5 B A y I 50 100 75 12.5- 12.5 25 D 100 The area is determined to be 3750 mm² The distances from the neutral axis to the top and bottom surfaces are determined to be 57.292 The second moment of area is determined to be 4.293 x 106 mm4. mm and 42.708 ✪ mm.arrow_forwardFind the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure Z 1 in 112 in y in → ← ¹ in 12 in D C B A ++ in The area is determined to be 2.0625 in². The distances from the neutral axis to the top and bottom surfaces are determined to be 0.858 x in and The second moment of area is determined to be 0.447 in 4. 1.017 xin.arrow_forwardDetermine the average shear stress developed in the nails within region AB of the beam. The nails are located on each side of the beam and are space 100 mm apart. Each nail has a diameter of 4 mm. Take P = 2kN. = Hint: Think carefully about the number of nails transferring shear stress from board-to-board. 2 kN/m A B -1.5 m 1.5 m 100 mm + 20 mm 40 mm 200 mm 20 mm 200 mmarrow_forward
- 1. Write the mathematical expression for the internal shear in segment CD in terms of x with point A as reference2. Then draw the moment diagram.arrow_forward2. Determine the average normal stress and average shear stress at point C in the beam. The cross- sectional area at C is 6 in². A -3 ft- 300 lb/ft C -3 ft- B -3 ft-arrow_forwardThe beam has a square cross section and is made of wood having an allowable shear stress of Tallow= 1.4 ksi. If it is subjected to a shear of V= 1.5 kip, determine the smallest dimension a of its sides. Sketch the shear stress distribution acting across the beam's cross section. Hint: Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar to the textbook examples for clarity. V = 1.5 kiparrow_forward
- Find the maximum shear force (V), the cross section can carry if the maximum shear stress is not to exceed 100MPa. And then after calculating the value of V, FIND the force carried by the web. 200 mm 20mm 20mm V 210mm 20mm 110mmarrow_forwardThe cross-section of a wooden, built-up beam is shown below. The dimensions are L= 170 mm and w = 30 mm. Determine the magnitude of the moment M that must be applied to the beam to create a compressive stress of σD = 28 MPa at point D. Also calculate the maximum stress developed in the beam. The moment M is applied in the vertical plane about the geometric center of the beam. M = kN.m Omax = MPa W พ L D พ Warrow_forwardThe eye hook has the dimensions shown. If it supports a cable loading of 800 lb, determine the maximum normal stress at section a–a and sketch the stress distribution acting over the cross section. Use the curved-beam formula to calculate the bending stress.arrow_forward
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Bending Stress; Author: moodlemech;https://www.youtube.com/watch?v=9QIqewkE6xM;License: Standard Youtube License