Question 4A beam made up of two unequal leg angles is subjected to a bending moment M havingvector at an angle 0 to the z axis as shown in Figure Q4its41For the position shown, determine the onentation of the neutral axis,Calculate the maxımum tensıle stress and maximum compressive stress in the beamAssume that 0 30° and M 3.5 kNm42L 120 x 80 x 12y19 mmFigure Q4

Question
Asked Aug 28, 2019
18 views
Question 4
A beam made up of two unequal leg angles is subjected to a bending moment M having
vector at an angle 0 to the z axis as shown in Figure Q4
its
41
For the position shown, determine the onentation of the neutral axis,
Calculate the maxımum tensıle stress and maximum compressive stress in the beam
Assume that 0 30° and M 3.5 kNm
42
L 120 x 80 x 12
y
19 mm
Figure Q4
help_outline

Image Transcriptionclose

Question 4 A beam made up of two unequal leg angles is subjected to a bending moment M having vector at an angle 0 to the z axis as shown in Figure Q4 its 41 For the position shown, determine the onentation of the neutral axis, Calculate the maxımum tensıle stress and maximum compressive stress in the beam Assume that 0 30° and M 3.5 kNm 42 L 120 x 80 x 12 y 19 mm Figure Q4

fullscreen
check_circle

Expert Answer

Step 1

Calculate the center position.

 

(120 x 12 x 6) +(68 x 12 x 46)
(120x12)+(68x12)
c
c 20.46 mm
Calculate the area
A (120x12)+(68x12)
2
A = 2256 mm
The minimum radius (r) is 22.39 mm
help_outline

Image Transcriptionclose

(120 x 12 x 6) +(68 x 12 x 46) (120x12)+(68x12) c c 20.46 mm Calculate the area A (120x12)+(68x12) 2 A = 2256 mm The minimum radius (r) is 22.39 mm

fullscreen
Step 2

Calculate the moment of inertia along y direction.

 

I = Ar2
I, 2256 mm2 x (22.39 mm)
I 1130960.098 mm*
Calculate the moment of inertia along z direction
68 x (108)
I,
179x (120)
2
12
12
I 11499264 -1130960.09
I 10368303.91 mm4
help_outline

Image Transcriptionclose

I = Ar2 I, 2256 mm2 x (22.39 mm) I 1130960.098 mm* Calculate the moment of inertia along z direction 68 x (108) I, 179x (120) 2 12 12 I 11499264 -1130960.09 I 10368303.91 mm4

fullscreen
Step 3

Calculate the orientation of ne...

I.
tan e
I
tan B
10368303.91 m tan 30°
tan B
1130960.098 mm'
B 79.30
help_outline

Image Transcriptionclose

I. tan e I tan B 10368303.91 m tan 30° tan B 1130960.098 mm' B 79.30

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Mechanical Engineering

Other

Related Mechanical Engineering Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The stones are thrown off the conveyor with a horizontal velocity of 10 ft/s as shown. Determine the...

A: Given,   V0= 10 ft/sech =100ftc=1d =10g= 32.17 ft/sec

question_answer

Q: a httpssession masteringengineering.com/myct/itemViewhoftset next8iassignmertProblem/D-8226925 ← → 自...

A: The mass of the particle m = 8.5 kgThe force is to be calculated at instant t = 2s

question_answer

Q: A Rankine steam cycle modified for reheat and three closed feedwater heaters is shown below. The hig...

A: Subpart (a)The temperature-entropy diagram (T-s diagram) is drawn using the standard properties of s...

question_answer

Q: Find the temperature of the following using the ideal gas law:(a) water, P=10KPa, v=30m^3/kg(b) wate...

A: According to question we have to use ideal gas law, but the parameters are given for water. we canno...

question_answer

Q: Two humid airstreams are adiabatically mixed at 1 atm pressure to form a third stream. The first str...

A: Refer “psychometric chart at 1 atm total pressure”, for a dry bulb temperature of 100 degree Fahrenh...

question_answer

Q: The spool has mass, m, and a radius of gyration kG. An inextensible cord is attached to the wall at ...

A: consider the given diagram

question_answer

Q: Calculate the maximum velocity of slider B if the system is released from rest with x y. Motion is i...

A: Refer the given figure and apply the Pythagorean Theorem.

question_answer

Q: Consider a simple Brayton cycle that uses air as the working fluid to operate a gas-turbine power pl...

A: Given information:

question_answer

Q: Two smooth discs A and B have a mass of 0.5 kg. Both discs are moving with velocities shown when the...

A: Given information:And then consider the given diagram