Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa.What is the maximum bending stress in the beam selected?50 kN/m4 m-2.4 m·-xX-TABLE B-3 Properties of I-Beam Sections (S-Shapes): SI UnitsFlangeAxis Y-YWebX-X spxyMassAreaWidthıdə(wu)ThicknessthicknessPl1 = S(10³ mm³)yli^ = 4(10° mm*)(u)27.727.722.1Designation(10° mm*)(ww)20.3(ww)38.9(„ww)(ww)(ww)081158006 776226222041 3201 220081 x 019S4 23024034.5338× 158x 149x 13400718415.739303 260247O'ZE19.7320001 076'6E32.3006 8100 I15 2001496'8115.916693767723401921513418122.1090 €287001918.620533.061122.112.787424117.519761I x34.0019S510 × 14314318 2001630014 20012 50091S91S18323.423.420.220.316.8S696532 70020.8228x 128x 112× 98.212811233.834.529.51799612 54000719419.480s50821615216216.1533001 7195012.398.220.212.84956SI11.414430.2661S460 × 10410413 2004576SI1529'LI17.618.1384333170O'0l8.6212627.4x 81.4069 I81.410 30045711.711329.009 I081S380 x 74x 6474.0948018838114315.814.0202090 I9731466.499'0685.026.264.08 13014015.81515.9526.9981S310 x 7474.0942030513913316.717.49111216.4993.226.2x 60.7× 52× 47.360.7678089 L30530516.711294.911.76EL6245.6284.126.952.0658067112713.813.86'011204.1063.624.947.3010930590.359312388'E3.4525.468'8l'19S250 x 5252.0665025412512.561.24820'96103I'SI55.122.8× 37.837.825411812.506'L11.251.240347.424.108°7S200 x 3434.009E20320390110210.810.826.926578.51.7833.620.2× 27.427.434806.8823.982.81.5430.221.0S150 x 25.725.718.63 260152L'0684.69.1211.86'019.1614357.90.95321.017.1x 18.609E 71529.1268'S5.4412062.20.74917.717.8S130 x 1515.0068 I12776.28.285.1280.30.49513.016.2s100 x 14.114.1008 I10209¢ I10271.17.448.282.8155.439.669E*00.31110.414.3x 11.511.567.67.442.5249.741.79.2114.606'S75 x 11.2× 8.511.28.50142076.263.859.298'84.321.2131.829.20.2417.556.2813.013.209'9107076.21.0427.431.20.18609'9

Answered: Image /qna-images/answer/1761c592-a2fb-4da8-9139-06d4590eeaea.jpg

Answered: Find the lightest S-shape for the beam…

Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m B 4 m 2.4 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The cantilever T-beam is loaded as shown in the figure. 80 mm 40 kN/m NA 120 mm 20 m INa = 30x106 mm…

Q: 1.) Solve the bending stress about poin and B 200kN m

Q: A solid shaft has to transmit 50 kW of power at a speed of 1910 RPM, Ignore any possible bending of…

Q: M 300 mm B A. 40 mm C 200 mm D LE 40 mm 40 mm

Q: Find the lightest S-shape for the beam shown if the working stress in bending is 120 MPa. What is…

A: Free Body diagram of the given problem:

Q: A beam under load experiences sagging with a maximum bending moment of 24 x 106 Nm. The beam has a…

A: Calculate the maximum tensile stress and the maximum compressive stress for this beam.

Q: Given the 180 mm x 360 mm rectangular beam as shown in the figure. 100 kN/m 20 kN-m 50 kN/m 360 mm…

A: To find maximum bending stress

Q: A square plate of side 300 mm is subjected to pure shear of intensity 100 MPa as shown in figure.…

Q: Consider a beam with loading and cross-section as shown below. 10 kN/m + 200 mm 5 m Rectangular 400…

A: Given data:

Q: Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is…

A: Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is…

Q: For a beam with the cross-section shown and loaded as shown, find the magnitude of the maximum…

Q: The thin-walled tube is used as a beam to support the uniformly distributed load of intensity wo as…

A: For the given beam and cross-section, the maximum load w0 for allowable bending stress of 1000…

Q: A bar having a cross-sectional area of 700 mm? is subjected to axial loads at the positions…

Q: A water tank made from a steel having a thickness of 12mm has the following dimensions. Internal…

A: step 1-

Q: Consider the stepped bar made with a linear ela material and subjected to an axial load of 1 kN as…

A: Given data: Member 1: L1=400 mmA1=100 mm2E1=2×105 MPaP1=1 kN Member 2: L2=900 mmA2=60 mm2E2=3×105…

Q: The thin walled tube is used as a beam to support the uniformly distributed load of intensity w, as…

Q: 500 N/m 4m 3m R2

Q: A horizontal bar of 40 mm diameter solid section is 2.40 m long and is rigidly held at both ends so…

A: Given- diameter d=40 mmLength L=2.40 mFixed at both ends Maximum tensile stress needs to be find…

Q: The cantilever T-beam is loaded as shown in the figure. 80 mm 40 kN/m NA 120 mm 2.0 m INA = 30x105…

A: A loaded beam is given and it has been asked to determine flexural bending stress. Please refer step…

Q: A prismatic bar has a cross-section of 25 mm x 50 mm and a length of 2 m. If the bar is subjected to…

A: Tensile force P=90 kN Cross-section (25 mm x 50 mm) Length = 2 m

Q: d. Calculate the bending stress in a layer 80 mm below the top surface of the beam at section B. e.…

Q: 1. Determine the maximum tensile and compressive bending stresses in the beam shown. 6 kN B 120 -1.0…

A: 1.) Given beam cross-section is homogenous and isotropic material (same material). Hence neutral…

Concept explainers

Pressure and Stress

Question

Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa.
What is the maximum bending stress in the beam selected?
50 kN/m
4 m
-2.4 m·
-x
X-
TABLE B-3 Properties of I-Beam Sections (S-Shapes): SI Units
Flange
Axis Y-Y
Web
X-X spxy
Mass
Area
Width
ıdə
(wu)
Thickness
thickness
Pl1 = S
(10³ mm³)
yli^ = 4
(10° mm*)
(u)
27.7
27.7
22.1
Designation
(10° mm*)
(ww)
20.3
(ww)
38.9
(„ww)
(ww)
(ww)
081
158
006 77
622
622
204
1 320
1 220
081 x 019S
4 230
240
34.5
338
× 158
x 149
x 134
007
184
15.7
3930
3 260
247
O'ZE
19.7
320
001 07
6'6E
32.3
006 81
00 I
15 200
149
6'81
15.9
166
937
677
234
019
215
134
181
22.1
090 €
2870
019
18.6
205
33.0
611
22.1
12.7
874
241
17.5
197
61I x
34.0
019
S510 × 143
143
18 200
16300
14 200
12 500
91S
91S
183
23.4
23.4
20.2
20.3
16.8
S69
653
2 700
20.8
228
x 128
x 112
× 98.2
128
112
33.8
34.5
29.5
179
961
2 540
007
194
19.4
80s
508
216
152
162
16.1
533
001 7
1950
12.3
98.2
20.2
12.8
495
6SI
11.4
144
30.2
661
S460 × 104
104
13 200
457
6SI
152
9'LI
17.6
18.1
384
333
170
O'0l
8.62
126
27.4
x 81.4
069 I
81.4
10 300
457
11.7
113
29.0
09 I
081
S380 x 74
x 64
74.0
9480
188
381
143
15.8
14.0
202
090 I
973
146
6.49
9'06
85.0
26.2
64.0
8 130
140
15.8
151
5.95
26.9
981
S310 x 74
74.0
9420
305
139
133
16.7
17.4
911
121
6.49
93.2
26.2
x 60.7
× 52
× 47.3
60.7
678
089 L
305
305
16.7
112
94.9
11.7
6EL
624
5.62
84.1
26.9
52.0
6580
671
127
13.8
13.8
6'01
120
4.10
63.6
24.9
47.3
0109
305
90.3
593
123
88'E
3.45
25.4
68'8
l'19
S250 x 52
52.0
6650
254
125
12.5
61.2
482
0'96
103
I'SI
55.1
22.8
× 37.8
37.8
254
118
12.5
06'L
11.2
51.2
403
47.4
24.1
08°7
S200 x 34
34.0
09E
203
203
901
102
10.8
10.8
26.9
265
78.5
1.78
33.6
20.2
× 27.4
27.4
3480
6.88
23.9
82.8
1.54
30.2
21.0
S150 x 25.7
25.7
18.6
3 260
152
L'06
84.6
9.12
11.8
6'01
9.16
143
57.9
0.953
21.0
17.1
x 18.6
09E 7
152
9.12
68'S
5.44
120
62.2
0.749
17.7
17.8
S130 x 15
15.0
068 I
127
76.2
8.28
5.12
80.3
0.495
13.0
16.2
s100 x 14.1
14.1
008 I
102
09¢ I
102
71.1
7.44
8.28
2.81
55.4
39.6
69E*0
0.311
10.4
14.3
x 11.5
11.5
67.6
7.44
2.52
49.7
41.7
9.21
14.6
06'
S75 x 11.2
× 8.5
11.2
8.50
1420
76.2
63.8
59.2
98'8
4.32
1.21
31.8
29.2
0.241
7.55
6.28
13.0
13.2
09'9
1070
76.2
1.04
27.4
31.2
0.186
09'9

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Steel 1 m Aluminum T 0.75 m Determine the maximum permissible value of T subject to the following conditions: tt S 80 MPa, Tal 50 MPa, and the angle of rotation of the free end is limited to 0.1 radian. For T. Hollow Solid d= 30 mm D= 40 mm %3D steel, G = 82 GPa and for aluminum, G= 28 GPa. %3D d = 30 mm %3D
In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (SB) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m B 40 mm diameter 1.3 m C Aluminum Brass
3) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5m
Beam CX is subjected to a loading condition as shown in the figure. What will be the (a) the maximum tensile stress and (b) the maximum compressive stress in the Beam CX if its cross section is a T section with the given dimensions.
i need the answer quickly
The shown plate is 60 mm thick and it is made of Magnesium Am1004-T61. The plate is fitted between the rigid frictionless supports as shown and at T, = 20°C it is stress free. Find the stresses in the x and y directions when the temperature increases to T, = 58°C. %3D 150 mm 150 mm Select one: O x: 0 MPa, y: 42.864 MPa Ox: 22.1 MPa, y: 44.2 MPa Ox: 0 MPa, y: 44.2 MPa Ox: 0 MPa, y: 17.8 MPa O x: 13.2 MPa, y: 44.2 MPa Ox: 0 MPa, y: 67.4 MPa 3:10 PM O G 4) ENG 1/31/2021
In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (8B) Brass: a,=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m В 40 mm diameter 1.3 m C Aluminum Brass
In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses OAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (8B) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aa=23.9*10-6 1/°C, Eal=72GPA //// A 60 mm diameter 1.1 m B 40 mm diameter 1.3 m Aluminum Brass
A thin polymer plate PQR is deformed so that corner Q is displaced downward by a distance L = 1.45 mm to new position Q' as shown. Determine the shear strain at Q' associated with the two edges (PQ and QR). 120 mm 480 mm. P R 240 mm -2692 μrad -3352 μrad O-4917 prad -3610 μrad O-2921 urad Q 'Q' X
A Analyse the beam shown by the method of Consistent deformation
The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150 N/mm2, find the diameter of the middle portion and also the length of the middle portion if the total elongation of the rod is to be 0.2mm. the length of the rod is 40 cm. consider the young modulus of a steel.
The stiffness coefficient 'k₁1' for the beam shown below is ΕΙ 2m Internal Hinge