January 2017

Agus Priyadi's picture

How to calculate shearing force of the bolt?

Hello...everyone,
Could you teach me how to calculate shearing force of the bolt in this figure?
shear_force.jpg

Christian Alrei Datul's picture

Integral Calculus: $\displaystyle \int \ln \left[ x+(1-x)^{1/2} \right] dx$

Pa help po sana dito sa question na to.

(integral of) ln (x+(1-x)^(1/2))dx

Problem 868 | Deflection by Three-Moment Equation

Problem 868
Determine the values of EIδ at midspan and at the ends of the beam loaded as shown in Figure P-868.
 

868-simple-overhanging-beam-triangular-load.gif

 

Problem 869 | Deflection by Three-Moment Equation

Problem 869
Find the value of EIδ at the center of the first span of the continuous beam in Figure P-869 if it is known that M2 = -980 lb·ft and M3 = -1082 lb·ft.
 

869-continuous-beam.gif

 

Solid mensuration: pi is missing (correction applied)

Problem 003 - Sphere melted into cylinder

Solution 3 : Initial equation shape should be improved. On the left side of equation "pi" is missing.

Best regards !

Matija Oblak

Solid mensuration: a modest contribution to a solution 016

Example 016: Radius of sphere circumscribing a regular triangular pyramid

I would like to add a modest contribution to a solution 016.
Radius of inscribbed sphere can be obtained directly (without slope angle determination):

√((AE)^2+(OE)^2 ) = ED-OE → OE = r = ((ED)^2-(AE)^2)/(2*(ED) ) and so on

Best regards !

Matija Oblak

Kinematics - Two particles release from same height ...

Good afternoon (from Europe) !

The given solution of mentioned problem is wrong.
There must be some initial velocity of particle "A" moving downwards along slope.

Particle "\"B\"": t_B=√(2h/g)
Particle "\"A\" ": L=v_(A,i) t+a t^2/2=v_(A,i) √(2h/g)+gsinα (√(2h/g))^2/2=v_(A,i) √(2h/g)+h^2/L

v_(A,i)=L(1-h^2/L^2 ) √(g/2h)=20*(1-〖12〗^2/〖20〗^2 ) √(9.81/(2*12))=8.18 m/s

The result meets our expectation.

Best regards !

congestus

Jerry JJ Moscoso's picture

Integration by Substitution

Kinda need some help.

Mark Drio's picture

analytic geometry: equation of the locus

hey i need your help. please answer this question.please
1.a point moves so that the product of the distance from (0,6) and (9,0) is twice the ratio of its ordinate to its abscissa .find the equation of the locus.?

Gwapoliver's picture

Related Rates : Frustrum of a Cone given the radius and heigth

A reservoir is in the form of a frustum of a cone with upper base of radius 9 ft and lower base of radius 4 ft and altitude of 10 ft. The water in the reservoir is x ft deep. If the level of the water is increasing at 4 ft/min, how fast is the volume of the water in the reservoir increasing when its depth is 2 ft ?

Design a rod and beam,with given stresses.

Hello all guys ! Can somebody please explain me how to solve this problem,i got exam which is coming closer and closer with every single day.Probably the problem will be easy for you,but I am new to this science (3-th semester in uni,and this things are new to me)So here is the task,from the exam.
 

DC[limits of functions]

Hi what is the clear process of this
Thanks for your help.

lim 1-cos x / x^2
->0

ans.= 0.5

Problem 870 | Beam Deflection by Three-Moment Equation

Problem 870
Compute the value of EIδ at the overhanging end of the beam in Figure P-870 if it is known that the wall moment is +1.1 kN·m.
 

870-propped-beam-with-overhang.gif

 

Engineering Economy - Interest rate

You deposit 1,000 into a 9 percent account today. At the end of two years, you will deposit another 3,000. In five years, you plan a 4,000 purchase. How much is left in the account one year after the purchase?

Anybody can solve this?
Thank you.

Problem 871 | Continuous Beam with Spring End-Support

Problem 871
The continuous beam in Figure P-871 is supported at its left end by a spring whose constant is 300 lb/in. For the beam, E = 1.5 × 106 psi and I = 115.2 in.4. Compute the load on the spring and its deflection.
 

871-continuous-beam-spring-support.gif

 

Problem 877 | Continuous Beam by Moment Distribution Method

Problem 877
By means of moment-distribution method, solve the moment at R2 and R3 of the continuous beam shown in Fig. P-815.
 

815-continuous-beam-triangular-concentrated-loads.gif