Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8.2, Problem 5P
8.5 and 8.6 (a) Knowing that σall = 160 MPa and τall = 100 MPa, select the most economical metric wide-flange shape that should be used to support the loading shown. (b) Determine the values to be expected for σm, τm, and the principal stress σmax at the junction of a flange and the web of the selected beam.
Fig. P8.5
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| 275 kN
(a) Knowing that ol =160 MPa and ra =100 MPa, select the most
economical metric wide-flange shape that should be used to support
the loading shown. (b) Determine the values to be expected for
275 kN om, Tm, and the principal stress omax at the junction of a flange and
B
D
-3.6 m-
1.5 m
1.5 m
the web of the selected beam.
For (b) check at Points B and C
A lightweight lever consists of a 0.8m solid bar rigidly mounted to a large structure and a 0.5m solid lever
welded to the solid bar. Using the loading indicated and assuming the material has a Young's Modulus of
200 GPa and a shear modulus of 86 GPa, calculate:
(a) the maximum stress at Point A on the Cross-section a-a,
(b) the vertical displacement of the knob when the load is applied relative to Cross-section a-a.
B
C
50 mm
Section ad
a 0.8 m
0.5 m
100 N
38 mm
Focus
A draw bar between a tractor and a trailer is made from a
length of steel with a rectangular cross-section 100 mm by
12 mm. The load is transmitted to the bar via a pin through
a 25 mm diameter hole at each end as shown in Fig. 4c.
for
100
Fig. 4c
If the load P in the bar is 100 kN, determine the
following:
The stress at the section X-X, shown in Fig. 4c.
i
(6 marks)
ii
The stress at the section Y-Y, shown in Fig. 4c.
(5 marks)
Chapter 8 Solutions
Mechanics of Materials, 7th Edition
Ch. 8.2 - A W10 = 39 rolled-steel beam supports a load P as...Ch. 8.2 - Solve Prob. 8.1, assuming that P = 22.5 kips and a...Ch. 8.2 - An overhanging W920 449 rolled-steel beam...Ch. 8.2 - Solve Prob. 8.3, assuming that P = 850 kN and a =...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...
Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Prob. 12PCh. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Using the notation of Sec. 8.2 and neglecting the...Ch. 8.2 - The 4-kN force is parallel to the x axis, and the...Ch. 8.2 - The vertical force P1 and the horizontal force P2...Ch. 8.2 - The two 500-lb forces are vertical and the force P...Ch. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shafts ABC and DEF and the gears shown...Ch. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - The cantilever beam AB has a rectangular cross...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - Prob. 37PCh. 8.3 - Two forces are applied to the pipe AB as shown....Ch. 8.3 - Several forces are applied to the pipe assembly...Ch. 8.3 - The steel pile AB has a 100-mm outer diameter and...Ch. 8.3 - Three forces are applied to a 4-in.-diameter plate...Ch. 8.3 - The steel pipe AB has a 72-mm outer diameter and a...Ch. 8.3 - A 13-kN force is applied as shown to the...Ch. 8.3 - A vertical force P of magnitude 60 lb is applied...Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Prob. 46PCh. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Three forces are applied to the machine component...Ch. 8.3 - Prob. 52PCh. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Prob. 57PCh. 8.3 - Four forces are applied to a W8 28 rolled-steel...Ch. 8.3 - A force P is applied to a cantilever beam by means...Ch. 8.3 - Prob. 60PCh. 8.3 - A 5-kN force P is applied to a wire that is...Ch. 8.3 - Knowing that the structural tube shown has a...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8 - (a) Knowing that all = 24 ksi and all = 14.5 ksi,...Ch. 8 - Neglecting the effect of fillets and of stress...Ch. 8 - Knowing that rods BC and CD are of diameter 24 mm...Ch. 8 - The solid shaft AB rotates at 450 rpm and...Ch. 8 - A 6-kip force is applied to the machine element AB...Ch. 8 - A thin strap is wrapped around a solid rod of...Ch. 8 - A close-coiled spring is made of a circular wire...Ch. 8 - Forces are applied at points A and B of the solid...Ch. 8 - Knowing that the bracket AB has a uniform...Ch. 8 - For the post and loading shown, determine the...Ch. 8 - Knowing that the structural tube shown has a...Ch. 8 - The cantilever beam AB will be installed so that...
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- Show all work. Do Not ShortCut the Static, V(x), and M(x) Analysesarrow_forwardKnowing that the average normal stress in member EF of the Pratt bridge truss shown must not exceed 8.56 ksi for the given loading, determine the cross-sectional area (in sq. in) of this member that will yield the most economical and safe design if h = 14.3 ft and P = 89.28 kips. detailed answer pls, need answer asaparrow_forwardPROBLEM 1 Two forces , each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 20 mm. Determine the largest allowable value of P if the shear stress in the shaft is not to exceed 120 MPa and its angle of twist is limited to 7 deg. Use G=80 GPa for steel 300 mm s00 mmarrow_forward
- An open-link chain is obtained by bending low-carbon steel rods of 0.5-in. diameter into the shape shown (Fig. ). Knowing that the chain carries a load of 160 lb, determine (a) the largest tensile and compressive stresses in the straight portion of a link, (b) the distance between the cen-troidal and the neutral axis of a cross sectionarrow_forwardFor the wide-flange beam with the loading shown, determine thelargest load P that can be applied, knowing that the maximum normal stress is 160 MPa and the largest shearing stress using theapproximation τm = V∕Aweb is 100 MPa.arrow_forwardTwo forces P can be applied separately or at the same time to a plate that is welded to a solid circular bar of radius r. Determine the largest compressive stress in the circular bar (a) when both forces are applied, (b) when only one of the forces is applied.arrow_forward
- B The steel tie bar shown is to be designed to carry a tension force of magnitude P = 120 kN when bolted between double brackets at A and B. The bar will be fabricated from 20-mm-thick plate stock. For the grade of steel to be used, the maximum allowable stresses are: o = 175 MPa, ↑ = 100 MPa, o, 350 MPa. Design the tie bar by determining the required values of (a) the diameter d of the bolt, (b) the dimension b at each end of the bar, (c) the dimension h of the bar.arrow_forwardAn annular washer distributes the load P applied to a steel rod to a timber support. The rod's diameter is 22 mm, and the washer's inner diameter is 25 mm, which is larger than the hole's permissible outer diameter. Knowing that the axial normal stress in the steel rod is 35 MPa and the average bearing stress between the washer and the timber must not exceed 5 MPa, examine the smallest allowed outer diameter, d, of the washer. %3D %3D +22 mm P Figure 4arrow_forwardProblem 04.103 - Steel W-beam loaded with up to three axial loads As many as three axial loads, each of magnitude P= 50 kN, can be applied to the end of a W200 × 31.1 rolled-steel shape. 80 mm- -80 mm 777 Problem 04.103.b - Stress in a flange when only two axial loads are applied Determine the stress at point A if loads are applied at points 1 and 2 only. The stress at point A is MPa.arrow_forward
- 6. Link BD consists of a single bar 30 mm wide and 12 mm thick. Knowing that each pin has a 10 mm diameter, determine the maximum value of the average normal stress in link BD if (a) 0 = 0°, (b) 0 = 90°. 150 m 00 mm 5B Page 2 of 3arrow_forwardKnowing that the average normal stress in member EF of the Pratt bridge truss shown must not exceed 8.36 ksi for the given loading, determine the cross-sectional area (in sq. in) of this member that will yield the most economical and safe design if h = 14.2 ft and P = 87.28 kips.arrow_forwardanswer quicklyarrow_forward
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