Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 12.2, Problem 29P
Determine the maximum shear stress in the T-beam at the critical section where the internal shear force is maximum.
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The cantilever beam is subjected to a concentrated load of P-32 kips. The cross-sectional dimensions of the rectangular tube shape
are b-8.2 in, d - 13.30 in, and t-0.300 in. Determine:
(a) the magnitude of the shear stress at point K, which is located to the left of the vertical centroidal axis at zx = 1.7 in.
(b) the magnitude of the maximum horizontal shear stress in the rectangular tube shape.
Answer:
(a) Ti
(b) Tmax=
x
ksi
ksi
(typ.)
TK
b
エーミー
H
d
1. For the simply supported beam with a T-shape cross-section as shown
below,
a- Draw the shear and moments diagram of the beam.
b- Determine the maximum normal bending stress and specify its location.
C- If the beam made from two boards determines the maximum shear stress in
the glue necessary to hold the boards together along the seam where they are
joined.
d- Determine the shear stress at point B.
4 m
6.5 kN/m
6m-
Glue
150 mm
30 mm
150 mm
30 mm
A
|100 lb
B
+2+
4 ft -
180 lb
с
- 3 -
Chapter 12 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 12.2 - In each case, calculate the value of Q and t that...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - Prob. 2FPCh. 12.2 - Determine the absolute maximum shear stress in the...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - If the beam is made from four plates and subjected...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the beam is subjected to a shear of V = 30kN,...
Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - The wood beam has an allowable shear stress of...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - Determine the largest shear force V that the...Ch. 12.2 - If the applied shear force V = 18 kip, determine...Ch. 12.2 - The overhang beam is subjected to the uniform...Ch. 12.2 - The beam is made from a polymer and is subjected...Ch. 12.2 - Determine the maximum shear stress in the strut if...Ch. 12.2 - Determine the maximum shear force V that the strut...Ch. 12.2 - Prob. 15PCh. 12.2 - Plot the shear-stress distribution over the cross...Ch. 12.2 - Prob. 17PCh. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - Determine the length of the cantilevered beam so...Ch. 12.2 - If the beam is made from wood having an allowable...Ch. 12.2 - Determine the largest intensity w of the...Ch. 12.2 - If w = 800 lb/ft, determine the absolute maximum...Ch. 12.2 - Determine the shear stress at point B on the web...Ch. 12.2 - Determine the maximum shear stress acting at...Ch. 12.2 - Railroad tics must be designed to resist large...Ch. 12.2 - Prob. 27PCh. 12.2 - Prob. 28PCh. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Prob. 31PCh. 12.3 - The two identical boards are bolted together to...Ch. 12.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 12.3 - Prob. 8FPCh. 12.3 - Prob. 9FPCh. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from three boards. If it...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - Prob. 36PCh. 12.3 - The double T-beam is fabricated by welding the...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - A beam is constructed from three boards bolted...Ch. 12.3 - The simply supported beam is built up from three...Ch. 12.3 - Prob. 41PCh. 12.3 - Prob. 42PCh. 12.3 - Prob. 43PCh. 12.3 - The box beam is constructed from four boards that...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - Prob. 47PCh. 12.3 - Prob. 48PCh. 12 - The beam is fabricated from four boards nailed...Ch. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Prob. 4RPCh. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Prob. 7RPCh. 12 - The member consists of two triangular plastic...Ch. 12 - If the pipe is subjected to a shear of V = 15 kip,...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Determine the maximum (a) shear stress, (b) normal stress, and (c) principal stresses at the section just below the flange (section a-a) of the cantilever beam. Include free body diagrams please.arrow_forwardDetermine the maximum tensile and compressive stresses in portion AC of the beamarrow_forwardCalculate the shear stresses at point A in the adjacent T-beam.F(maks)= 200 kNarrow_forward
- Question 3 Determine the maximum bending stress in the steel beam in psi with the circular cross section. 400 lb 200 lb/ft D 2 in. -5 ft- -4 ft-arrow_forwardThe simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.arrow_forwardThe singular force F will be applied to the beam with a hollow rectangular cross section. Accordingly, the location and value of the maximum normal stress that will occur in the whole beam is given correctly in the following? F =400 N, L1 = 3m, L2 = 2m, h1=48mm, h2 =72mm, b1=10mm, b2=20mmarrow_forward
- Determine the maximum tensile (fot) and compressive (foc) stresses (psi) developed in the overhanging beam. The cross-section is an inverted T with the given properties 1,500 lb 3,000 lb 1,000 lb 7 in N.A. 2 in 6 ft 6 ft = 84 in R1 R2 3.arrow_forwardFor the beam and loading shown below, determine the maximum shear stress acting at section a−a. Give your answer in psi.arrow_forward10 kN/m The T-beam supports the distributed loading shown. (a) At section C, determine the average shear stress at the top of the stem, just below the flange. B (b) Determine the absolute maximum shear stress in the beam at the cross section where the internal shear force is max- 3 m 2 m 2 m- imum. 150 mm 150 mm 30 mm 20 mmarrow_forward
- Determine the maximum tensile and compressive stresses developed in the overhanging beam that is loaded and has the cross- sectional properties as shown. 1600 lb 4000 lb 2 in N.A. 6 in 6 ft R I- 90 in 6 ft tensile stress = 3, 840 psi and compressive stress = 7, 680 psi tensile stress = 1, 280 psi and compressive stress = 2,560 psi tensile stress = 7, 680 psi and compressive stress = 3, 840 psi tensile stress = 7, 680 psi and compressive stress = 2, 560 psiarrow_forwardDetermine the internal shear force (in kN) at point E in the compound beam shown below. Make sure to include a negative sign when appropriate. 3.2 kN/m 3.0m E 3.0m a B 1.0m 10 kN IC F 25 kN-m -2 m-2 m. Darrow_forwardThe beam is subjected to a uniformly distributed load. What is the maximummagnitude of the average shear stress in the beam, and where does it occur?arrow_forward
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