1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crank
3 years ago
9

4.7 If the maximum tensile force in any of the truss members must be limited to 22 kN, and the maximum compressive force must be

limited to 20 kN, determine the largest permissible mass m which may be supported by the truss.
Engineering
1 answer:
ki77a [65]3 years ago
4 0

Answer:

588.55 kg

attached below is a sketch of the members of the truss

Explanation:

Given data:

Maximum tensile force = 22 KN

maximum compressive force = 20 KN

To determine the largest permissible mass m which may be supported by the truss

First we have have to find the summation of forces in the Y and X direction along Joint C

<u>Summation of forces in the Y direction</u>

∑Fy = 0

= BC sin30° - W = 0.   hence BC = 2WT

<u>summation of forces in the X direction </u>

∑Fx = 0

= -CD - BC cos30°

therefore CD = -2W cos30°

hence ; CD = - 1.732W

ignoring the compression on CD. therefore CD = 1.732W C

Next we have to analyze Joint B

summation of forces in the X direction

∑Fx = 0

= - AB + BC cos30° = 0

therefore AB = BC cos30°

                AB = 1.732W T

∑Fy = 0

- BD - BC sin30° = 0

therefore BD = -W = W C

Analyzing Joint D

∑Fy = 0

AD sin30° + BD = 0

hence ;AD = 2W T

∑Fx = 0

-DE - ADcos30° + CD = 0

hence DE = -3.464W  =  3.464W C

At Joint E

∑Fy = 0

i.e. AE = 0

from the above analysis The tensile force is greatest on members AD and BC

AD = BC = 2W

from the question the maximum tensile force in any of the truss members = 22KN

Hence ;

2W = 22KN

2mg = 22000N

m = 22000 / ( 2 * 9.81 )

   = 1121.30 kg

from the above analysis the greatest compressive force is found in DE which is the critical part of the Truss hence the maximum mass it can carry is the largest permissible mass which may be supported by the Truss

DE = 3.464 W

from the question the maximum compressive force = 20 KN

hence ;

3.464 W = 20KN

3.464 mg = 20000N

m = 20000 / ( 3.464 * 9.81 )

m = 588.55 kg

You might be interested in
An escalator handles a steady load of 26 people per minute in elevating them from the first to the second floor through a vertic
photoshop1234 [79]

Answer:

\eta = 70.711\,\%

Explanation:

The power needed to make the escalator working is obtained by means of the Work-Energy Theorem:

\dot W  = \dot U_{g}

\dot W = \dot n \cdot m_{p}\cdot g \cdot \Delta y

\dot W = \left(26\,\frac{persons}{min}\right)\cdot (124\,lbm)\cdot \left(32.174\,\frac{ft}{s^{2}}\right)\cdot \left(\frac{1\,lbf}{32.174\,\frac{lbm\cdot ft}{s^{2}} } \right)\cdot (27.5\,ft)

\dot W = 88660\,\frac{lbf\cdot ft}{min}\,\left(2.687\,hp\right)

The mechanical efficiency of the escalator is:

\eta = \frac{2.687\,hp}{3.8\,hp}\times 100\,\%

\eta = 70.711\,\%

3 0
3 years ago
Multiple Choice
katrin [286]

Answer:

Zoning is like a hammer because it is used as a tool for urban planning.

8 0
2 years ago
In tropical climates, the water near the surface of the ocean remains warm throughout the year as a result of solar energy absor
mote1985 [20]

Answer:

7.07%

Explanation:

Thermal efficiency can be by definition seen as the ratio of the heat utilized by a heat engine to the total heat units in the fuel consumed.

We will determine the thermal efficiency of the given problem at the attached file.

7 0
3 years ago
The diagram above indicates the location of an enlarged detail to show more information than the blueprint permits. They also ca
mezya [45]

Answer:

c.  Detail designation

Explanation:

the question "enlarged detail to show more information", That has a detail indicator area circle. It's usually more of a square or rectangle not a circle. Circles are good for detailing landscape.

"They also can indicate when a section of the house is being enlarged."  Sections details use that symbol but have a section indicator line. Also grid and column indicators use that symbol.

7 0
2 years ago
A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the condition for resonance to occur?.
vaieri [72.5K]

Answer:if power factor =1 is possible for that.

Explanation:when pf is unity. means 1.

6 0
1 year ago
Other questions:
  • In a tensile test on a steel specimen, true strain is 0.171 at a stress of 263.8 MPa. When true stress is 346.2 MPa, true strain
    7·1 answer
  • **Please Help, ASAP**
    6·1 answer
  • Which bulb has the lowest total cost of operation? (a) Incandescent (b) Fluorescent (c) LED
    8·1 answer
  • The working section of a transonic wind tunnel has a cross-sectional area 0.5 m2. Upstream, where the cross-section area is 2 m2
    10·1 answer
  • Please answer question #2
    6·1 answer
  • A 4-pole, 3-phase induction motor operates from a supply whose frequency is 60 Hz. calculate: 1- the speed at which the magnetic
    6·1 answer
  • What kinds of problems or projects would a civil engineer work on?
    14·1 answer
  • A light aircraft with a wing area of 200 ft^2 and a weight of 2000 lb has a lift coefficient of 0.39 and a drag coefficient of 0
    14·1 answer
  • An unknown relative passes away and bequeaths upon you a small tract of land in Amherst. You decide to build a two-story storage
    14·1 answer
  • Where does Mr. Teller work? What do they do there?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!