1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in

1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.11.12P: Two W 310 × 74 Steel wide-flange beams are bolted together to form a built-up beam as shown in the...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

1. Determine the maximum positive bending moment in the beam in kN-m.

2. Determine the maximum shear in kN.

3. Determine the location of Neutral Axis, in mm, from the top of the section.

4. Determine the location of the centroid, in mm, from the left of the section.

5. Determine the moment of inertia of the section in x106 mm4 .

6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa.

7. Determine the maximum flexural stress experienced by the beam in MPa.

8. Determine the maximum shearing stress in MPa at Neutral Axis.

9. Determine the spacing of rivets in mm.

10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.

Situation 1| Simply Supported Beam ABCDE below carries multiple loads as shown. A built-up
section made from a T-Section and a Channel (C-Section) fastened together by 16mmØ bolts,
equally spaced from the center of the section, with shearing capacity t=100 MPa, for bearing ơb
= 220 MPa for rivets in single shear and ob = 280 MPa for rivets in double shear. E=200GPA for
all materials.
8 KN
15 KN/m
12 KN/m
A
E
2m
3m
3m
2m
Properties of T-Section
Bf = 180 mm
Tf= 16 mm
Tw = 12 mm
D = 210 mm
Properties of C-Section
Bf = 105 mm
Tf = 12 mm
Tw = 12 mm
D = 210 mm

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