Holooly Plus Logo
Holooly Plus Logo

Question 12.S-P.6: The simple beam AC is loaded by a couple of moment T applied...

The simple beam AC is loaded by a couple of moment T applied at point B.
Draw the shear and bending-moment diagrams of the beam.

12.6a
The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

The entire beam is taken as a free body, and we obtain

R_{A} =\frac{T}{L} ↑             R_{C} =\frac{T}{L}↓

The shear at any section is constant and equal to T/L. Since a couple is applied at B, the bending-moment diagram is discontinuous at B; it is represented by two oblique straight lines and decreases suddenly at B by an amount equal to T.

Related Answered Questions

Question: 12.4

Select a wide-flange beam to support the 15-kip load as shown in Fig. 12.14. The allowable normal stress for the steel used is 24 ksi. ...

Verified Answer:

1. The allowable normal stress is given: σ_...
Question: 12.S-P.8

A 5-m-long, simply supported steel beam AD is to carry the distributed and concentrated loads shown. Knowing that the allowable normal stress for the grade of steel to be used is 160 MPa, select the wide-flange shape that should be used. ...

Verified Answer:

Reactions. Considering the entire beam as a free b...
Question: 12.S-P.7

A 12-ft-long overhanging timber beam AC with an 8-ft span AB is to be designed to support the distributed and concentrated loads shown. Knowing that timber of 4-in. nominal width (3.5-in. actual width) with a 1.75-ksi allowable stress is to be used, determine the minimum required depth h of the ...

Verified Answer:

Reactions. Considering the entire beam as a free b...
Question: 12.S-P.2

The structure shown consists of a W10 × 112 rolled-steel beam AB and of two short members welded together and to the beam. (a) Draw the shear and bending-moment diagrams for the beam and the given loading. (b) Determine the maximum normal stress in sections just to the left and just to the right of ...

Verified Answer:

Equivalent Loading of Beam. The 10-kip load is rep...
Question: 12.S-P.3

Draw the shear and bending-moment diagrams for the beam and loading A  shown. ...

Verified Answer:

Reactions. Considering the entire beam as a free b...
Question: 12.3

Draw the shear and bending-moment diagrams for the simply supported beam shown in Fig. 12.12 and determine the maximum value of the bending moment. ...

Verified Answer:

From the free-body diagram of the entire beam, we ...
Question: 12.S-P.1

For the timber beam and loading shown, draw the shear and bending-moment diagrams and determine the maximum normal stress due to bending. ...

Verified Answer:

Reactions. Considering the entire beam as a free b...
Question: 12.2

Draw the shear and bending-moment diagrams for a 507 cantilever beam AB of span L supporting a uniformly distributed load w (Fig. 12.9). ...

Verified Answer:

We cut the beam at a point C between A and B and d...
Question: 12.S-P.5

Sketch the shear and bending-moment diagrams for the cantilever beam shown. ...

Verified Answer:

Shear Diagram. At the free end of the beam, we fin...
Question: 12.S-P.4

The W360 × 79 rolled-steel beam AC is simply supported and carries the uniformly distributed load shown. Draw the shear and bending-moment diagrams for the beam and determine the location and magnitude of the maximum normal stress due to bending. ...

Verified Answer:

Reactions. Considering the entire beam as a free b...