## Sunday, 8 April 2018

### Geometry of Joist Bridging

If you look at typical wood floor framing, you will often see rows of cross-bridging between the floor joists. The bridging helps prevent joists from twisting when they're loaded. It also helps make sure concentrated loads are shared between multiple joists. A floor with bridging is also little less bouncy when people walk across than an identical floor without the bridging.

 View of some floor joists with cross-bridging.

In this post I analyze the geometry of bridging to answer questions like "what is the angle of the plumb cuts?" and "what is the minimum length needed to cut a piece of bridging?"

Let's look at the bridging in a joist bay and define some common floor framing dimensions:

 A typical joist bay with bridging.

S is the centre-to-centre spacing of the joists. Typically 16" [406 mm] in Canada and the U.S., though other spacings are sometimes used.

b_1 is the width of the joist. Typically 1-1/2" [38 mm] in Canada and the U.S. where modern dimensional lumber is used. Historically, dimensional lumber was thicker than it is today, so if you're in an old house you might find 1-5/8" [41 mm], 1-7/8" [48 mm], 2" [51 mm], or even thicker joists.

d_1 is the depth of the joist. Typical joist depths correspond to the standard dimensional lumber sizes readily available. In Canada and the U.S. that generally means 7-1/4" [184 mm], 9-1/4" [235 mm], or 11-1/4" [286 mm]. Historically, dimensional lumber depths were 1/4" to 3/4" [6 to 19 mm] greater than they are today.

d_2 is the depth of the bridging member. Bridging is typically cut from nominal 2x2s (true dimensions 1-1/2" x 1-1/2" [38 mm x 38 mm]).

Let's delve into the geometry now and define a few more quantities:

L_2 is the minimum length piece you could theoretically cut the bridging from.

p is the length of the plumb cut face of the bridging.

Δ is the minimum length of the bit that would be cut from the top or bottom edge in making the necessary plumb cuts.

θ is the angle the bridging makes measured from horizontal. It is also the angle of the plumb cut.

From basic trigonometry, we can get the following relations:

 Expression for tanθ

 Expression for Δ

 Expression for p

 Expression for L_2

So everything depends on , which is the most important quantity we need to know. And we can try to solve for theta. The problem is, we get this:

 Expression for θ

That's not fair, making θ a function of itself like that. And with some significant effort, we might even be able to get the exact solution. Probably not in a general form, but for each specific case when the values of S, b_1, d_1, and d_2 are known (as they usually are). But carpenters usually aren't also mathematicians and don't go around with powerful computing software to do that for them. We need to be a bit more pragmatic. An exact solution isn't necessary. Real surfaces aren't perfectly flat or perfectly square or perfectly plumb. If you can make a cut accurate within 0.5°, you're doing pretty well. So we just need a way to get a good approximation of θ

If we look at this again, there is an angle that we can calculate without difficulty.

From basic trigonometry:

 Expression for θ + Δθ

Well that's something we can solve with a calculator. Now comes for the approximating.
θ + Δθ is not close enough to use for our plumb cuts. But it should be close enough to give us a first approximation of p. In other words:

 First approximation of p

If we substitute into our expression for θ above, that gives us an approximate solution for θ which can be calculated without much difficulty:

 First approximation of  θ

So how good is our approximation? Well here's a table to compare the first approximation of θ to the exact solution for common sizes of floor framing. Bridging

 Comparison of approximate and exact solutions of θ for nominal 2x2 [38 mm x 38 mm] cross-bridging and common floor joist arrangements.

So it's a pretty good approximation. Error was only 0.62° in the worst case (nominal 2x12s spaced 12" apart on centre) and where spacing was at least 16" the error was always less than 0.27°. That should easily be good enough to cut and install the bridging properly.

Well what if for some reason you want an even better approximation? Let's look at the expression for
θ again.

 Expression for θ

In this form the expression lends itself well to the fixed-point iteration method. We don't need any fancy software. We start with a reasonable initial guess to input theta on the right side and come out with  a closer solution on the left hand side. Then we take our better approximation and use it as input again on the right hand side to calculate an even better solution. The cycle can be repeated as many times as needed to converge on the solution.

 Fixed-point iteration scheme for θ

The first iteration of the fixed-point iteration is exactly how I arrived at the first approximation of θ. The initial guess used as input on the right hand side was θ + Δθ, because it was easy to calculate and isn't too far off the mark. If we use the iterative method here we converge on the solution fairly quickly, and should be accurate to less than 0.1° with just three iterations. Of course, it helps to have a good guess to start with, but we could've pulled a number almost out of thin air like θ = 0° or 45° and we still would have quickly converged on the correct answer.

With θ you can calculate L_2, the theoretically shortest piece of lumber you could cut a piece of bridging from for your given floor joist arrangement. Using the approximate θ gets you pretty close to the exact solution. You could simply compensate by adding a small nominal amount (say 1/4" [6 mm]).

 Comparison of approximate and exact solutions of L_2 for nominal 2x2 [38 mm x 38 mm] cross-bridging and common floor joist arrangements.

1. Augmented Reality a futuristic technology!!!

Today the marketing strategies are changing day by day and we have to get updated in all aspects.
Augmented Reality the new form of technology that will change your perception, it adds virtual contents to your real world surroundings to make it more interesting.
UniteAR the most socialized AR platform will help you to create your AR with a blink of an eye, from Education to healthcare (Marketing, Real-estate) we can meet all your needs!!!!
https://www.unitear.com/
UniteAR
Augmented Reality at your finger tips!!!

1. CONTACT THE BEST LOTTERY SPELL CASTER FOR THE RIGHT LOTTERY NUMBERS NOW HIS LOTTERY SPELL IS 100% GUARANTEE WHATSAPP +2348118829899

Hello everyone am Raymond from Pennsylvania USA I want to share my wonderful testimony of how a powerful spell caster called Dr Great helped me to win lottery, i have been playing lottery for a long time now but I had no luck everything changed when I messaged Dr Great about winning the lottery he assured me that I will be the next winner he told me what to do and I did it and 24 hours later he sent me the lottery numbers and I played it I couldn't believe it I won \$1,000,000 dollars it's was the best thing that have ever happened to me in my life. If you want to win a lottery WhatsApp or Call Dr Great on this number +2348118829899 or email him at infinitylovespell@gmail.com or infinitylovespell@yahoo.com

CONTACT THE BEST LOTTERY SPELL CASTER FOR THE RIGHT LOTTERY NUMBERS NOW HIS LOTTERY SPELL IS 100% GUARANTEE WHATSAPP +2348118829899

Hello everyone am Raymond from Pennsylvania USA I want to share my wonderful testimony of how a powerful spell caster called Dr Great helped me to win lottery, i have been playing lottery for a long time now but I had no luck everything changed when I messaged Dr Great about winning the lottery he assured me that I will be the next winner he told me what to do and I did it and 24 hours later he sent me the lottery numbers and I played it I couldn't believe it I won \$1,000,000 dollars it's was the best thing that have ever happened to me in my life. If you want to win a lottery WhatsApp or Call Dr Great on this number +2348118829899 or email him at infinitylovespell@gmail.com or infinitylovespell@yahoo.com

CONTACT THE BEST LOTTERY SPELL CASTER FOR THE RIGHT LOTTERY NUMBERS NOW HIS LOTTERY SPELL IS 100% GUARANTEE WHATSAPP +2348118829899

Hello everyone am Raymond from Pennsylvania USA I want to share my wonderful testimony of how a powerful spell caster called Dr Great helped me to win lottery, i have been playing lottery for a long time now but I had no luck everything changed when I messaged Dr Great about winning the lottery he assured me that I will be the next winner he told me what to do and I did it and 24 hours later he sent me the lottery numbers and I played it I couldn't believe it I won \$1,000,000 dollars it's was the best thing that have ever happened to me in my life. If you want to win a lottery WhatsApp or Call Dr Great on this number +2348118829899 or email him at infinitylovespell@gmail.com or infinitylovespell@yahoo.com

CONTACT THE BEST LOTTERY SPELL CASTER FOR THE RIGHT LOTTERY NUMBERS NOW HIS LOTTERY SPELL IS 100% GUARANTEE WHATSAPP +2348118829899

Hello everyone am Raymond from Pennsylvania USA I want to share my wonderful testimony of how a powerful spell caster called Dr Great helped me to win lottery, i have been playing lottery for a long time now but I had no luck everything changed when I messaged Dr Great about winning the lottery he assured me that I will be the next winner he told me what to do and I did it and 24 hours later he sent me the lottery numbers and I played it I couldn't believe it I won \$1,000,000 dollars it's was the best thing that have ever happened to me in my life. If you want to win a lottery WhatsApp or Call Dr Great on this number +2348118829899 or email him at infinitylovespell@gmail.com or infinitylovespell@yahoo.com

2. I have been married for 4years and i have a break up with my husband 1months ago and i was worried and so confuse because i love him so much. i was really going too depressed and a friend directed me to this spell caster Dr. Tunde and i made all my problems known to him and he told me not to worry that he was going to make my husband to come back to me and in just 48hours i receive a call from my husband and he was appealing that i should come back to the house. i have never in my life believe in spell and but now it have just helped me and i am now so happy. All Thanks to him and if you also want to have your Husband back or your lover to yourself here !! his email Address. babatundesolutioncentre1@gmail. com or you can reach him on via WhatsApp mobile number or call him on +2348143581382 i am so happy to testify of your work and kindness Also specialize in treating all kinds of illness, HERPES VIRUS, HEPATITIS B, CANCER, BRAIN DISEASE, INFERTILITY, DIABETES AND MORE

3. PERFECT LOTTERY SPELL THAT WORK FAST WITHIN 24 HOURS WITH DR RAYPOWER LOTTERY SPELL POWERS
I saw so many testimonies about Dr Raypower a great lottery spell caster that will help you cast a lottery spell and give you the rightful numbers to win the lottery, i didn't believe it, at first but as life got harder i decided to take a try,  I contacted him also and told him i want to win a lottery he cast a lottery spell for me which i use and i play and i won \$3,000,000 (THREE MILLION DOLLARS). I am so grateful to this man Dr Raypower and I am making this known to every one out there who have been trying all day to win the lottery, believe me this is the only way to win the lottery, this is the real secret we all have been searching for. Do not waste time contact him today for you to also be a winner contact info below.

Email: Urgentspellcast@gmail.com or Urgentspellcast@yahoo.com

WhatsApp: +1 (424) 330-8109

Website: https://urgentspellcast.wordpress.com/

4. How I Got My Husband back... Am so excited to share my testimony of a real spell caster who brought my husband back to me. My husband and I have been married for about 6 years now. We were happily married with two kids, a boy and a girl. 3 months ago, I started to notice some strange behavior from him and a few weeks later I found out that my husband is seeing someone else. He started coming home late from work, he hardly cared about me or the kids anymore, Sometimes he goes out and doesn't even come back home for about 2-3 days. I did all I could to rectify this problem but all to no avail. I became very worried and needed help. As I was browsing through the Internet one day, I came across a website that suggested that Dr. Wale can help solve marital problems, restore broken relationships and so on. So, I felt I should give him a try. I contacted him and told him my problems and he told me what to do and I did it and he did a spell for me. 48 hours later, my husband came to me and apologized for the wrongs he did and promised never to do it again. Ever since then, everything has returned back to normal. My family are living together happily again.. All thanks to Dr. Wale If you have any problem contact him and I guarantee you that he will help you. He will not disappoint you. you can WhatsApp him +1(978) 406-9575 or Email him at : everlastingspellcast@gmail.com or or view his website for more review https://everlastingspellcaster.website2.me/contact

How I Got My Husband back... Am so excited to share my testimony of a real spell caster who brought my husband back to me. My husband and I have been married for about 6 years now. We were happily married with two kids, a boy and a girl. 3 months ago, I started to notice some strange behavior from him and a few weeks later I found out that my husband is seeing someone else. He started coming home late from work, he hardly cared about me or the kids anymore, Sometimes he goes out and doesn't even come back home for about 2-3 days. I did all I could to rectify this problem but all to no avail. I became very worried and needed help. As I was browsing through the Internet one day, I came across a website that suggested that Dr. Wale can help solve marital problems, restore broken relationships and so on. So, I felt I should give him a try. I contacted him and told him my problems and he told me what to do and I did it and he did a spell for me. 48 hours later, my husband came to me and apologized for the wrongs he did and promised never to do it again. Ever since then, everything has returned back to normal. My family are living together happily again.. All thanks to Dr. Wale If you have any problem contact him and I guarantee you that he will help you. He will not disappoint you. you can WhatsApp him +1(978) 406-9575 or Email him at : everlastingspellcast@gmail.com or or view his website for more review https://everlastingspellcaster.website2.me/contact

2. My names is Marian Wongi want to testify about the great spell caster called Dr Osasu my husband and i have been married for 8 years now we don't have a child and the doctor told us i can't give birth because my womb have been damaged due to wrong drugs prescription this got me so worried and my husband was not happy so he decided to get married to another girl and divorce me i was so sad i told my friend about it she told me about a powerful spell caster she gave me his email address well i never believe in it that much though i just decided to give him a try and he told me it will take 24hrs to get my husband back to me and i will get pregnant i doubted him the 3rd day my husband came back to me and was crying he said he didn't want the divorce anymore 3 weeks after the doctor confirmed that i was pregnant he can also help you contact him at

(drosasu25@gmail.com)

WhatsApp +2347064365391

3. CONTACT THE BEST LOTTERY SPELL CASTER FOR THE RIGHT LOTTERY NUMBERS NOW HIS LOTTERY SPELL IS 100% GUARANTEE WHATSAPP +2348118829899

Hello everyone am Raymond from Pennsylvania USA I want to share my wonderful testimony of how a powerful spell caster called Dr Great helped me to win lottery, i have been playing lottery for a long time now but I had no luck everything changed when I messaged Dr Great about winning the lottery he assured me that I will be the next winner he told me what to do and I did it and 24 hours later he sent me the lottery numbers and I played it I couldn't believe it I won \$1,000,000 dollars it's was the best thing that have ever happened to me in my life. If you want to win a lottery WhatsApp or Call Dr Great on this number +2348118829899 or email him at infinitylovespell@gmail.com or infinitylovespell@yahoo.com

4. I am  SARA KIM From the UK...I had to write back and say what an amazing experience I had with Dr Alli's powerful lottery spell. My Heart is fill with joy and happiness after Dr Alli cast the Lottery spell for me, And i won £4,369,877.00 His spell change my life into riches, I'm now out of debts and experiencing the most amazing good luck with lottery after i won a huge amount of money. My life has really changed for good. I won (Four million three hundred and sixty nine thousand Eight hundred and seventy seven thousand pounds)Your Lottery spell is so real and pure. Thank you very much Dr. Alli for the lottery spell that changed my life”I am totally grateful for the lottery spell Dr Alli did for me. You can email him for your own lottery number,because these is the only secret to winning the lottery.
Email him:  Allispellhelp1@gmail.com Whats App him: +2348100772528

5. WE SHOULD FUCK. Like right now, right here. Hard, fast. Pin me down, kiss me hard, look me in the eyes and fuck me like you’ve never fucked someone before. Hey, i am looking for an online sexual partner ;) Click on my boobs if you are interested (. )( .)

6. I have been married for 4years and i have a break up with my husband 1months ago and i was worried and so confuse because i love him so much. i was really going too depressed and a friend directed me to this spell caster Dr. Tunde and i made all my problems known to him and he told me not to worry that he was going to make my husband to come back to me and in just 48hours i receive a call from my husband and he was appealing that i should come back to the house. i have never in my life believe in spell and but now it have just helped me and i am now so happy. All Thanks to him and if you also want to have your Husband back or your lover to yourself here !! his email Address. babatundesolutioncentre1@gmail. com or you can reach him on via WhatsApp mobile number or call him on +2348143581382 i am so happy to testify of your work and kindness Also specialize in treating all kinds of illness, HERPES VIRUS, HEPATITIS B, CANCER, BRAIN DISEASE, INFERTILITY, DIABETES AND MORE

7. MY Name Hanna Rosin, form, (USA) After 12years of marriage, me and my husband has been into one quarrel or the other until he finally left me and moved to California to be with another woman. I felt my life was over and my kids thought they would never see their father again. i tried to be strong just for the kids but i could not control the pains that torments my heart, my heart was filled with sorrows and pains because i was really in love with my husband. Every day and night i think of him and always wish he would come back to me, I was really upset and i needed help, so i searched for help online and I came across a website that suggested that Dr Osasu can help get ex back fast. So, I felt I should give him a try. I contacted him and he told me what to do and i did it then he did a Love spell for me. 28 hours later, my husband really called me and told me that he miss me and the kids so much, So Amazing!! So that was how he came back that same day,with lots of love and joy,and he apologized for his mistake,and for the pain he caused me and the kids. Then from that day,our Marriage was now stronger than how it were before, All thanks to Dr Osasu . he is so powerful and i decided to share my story on the internet that Dr. Osasu real and powerful spell caster who i will always pray to live long to help his children in the time of trouble, if you are here and you need your Ex back or your husband moved to another woman, do not cry anymore, contact this powerful spell caster now. Here’s his contact
Call/WhatsApp: +2347064365391
Email: drosasu25@gmail.com

8. MY Name Hanna Rosin, form, (USA) After 12years of marriage, me and my husband has been into one quarrel or the other until he finally left me and moved to California to be with another woman. I felt my life was over and my kids thought they would never see their father again. i tried to be strong just for the kids but i could not control the pains that torments my heart, my heart was filled with sorrows and pains because i was really in love with my husband. Every day and night i think of him and always wish he would come back to me, I was really upset and i needed help, so i searched for help online and I came across a website that suggested that Dr Osasu can help get ex back fast. So, I felt I should give him a try. I contacted him and he told me what to do and i did it then he did a Love spell for me. 28 hours later, my husband really called me and told me that he miss me and the kids so much, So Amazing!! So that was how he came back that same day,with lots of love and joy,and he apologized for his mistake,and for the pain he caused me and the kids. Then from that day,our Marriage was now stronger than how it were before, All thanks to Dr Osasu . he is so powerful and i decided to share my story on the internet that Dr. Osasu real and powerful spell caster who i will always pray to live long to help his children in the time of trouble, if you are here and you need your Ex back or your husband moved to another woman, do not cry anymore, contact this powerful spell caster now. Here’s his contact
Call/WhatsApp: +2347064365391
Email: drosasu25@gmail.com

9. Am here to say a big thank you to Dr Sam for his great powerful love spell
and his great spirits for saving my relationship. No one would have believe
that I and my ex will ever come back together again lovers. But this great
spell caster united us in just 48 hours. Dr Sam is truly a real and honest
online spell caster. Contact him now on: okokakspellhome@gmail.com or
whatsApp him +2349060421250 and he will help you solve all your problem

10. My ex-husband and I had always managed to stay friendly after our divorce in February 2017. But I always wanted to get back together with him, All it took was a visit to this spell casters website last December, because my dream was to start a new year with my husband, and live happily with him.. This spell caster requested a specific love spell for me and my husband, and I accepted it. And this powerful spell caster began to work his magic. And 48 hours after this spell caster worked for me, my husband called me back for us to be together again, and he was remorseful for all his wrong deeds. My spell is working because guess what: My “husband” is back and we are making preparations on how to go to court and withdraw our divorce papers ASAP. This is nothing short of a miracle. Thank you Dr Emu for your powerful spells. Words are not enough. here is his Email: emutemple@gmail.com or call/text him on his WhatsApp +2347012841542

He is also able to cast spell like 1: Lottery 2: Conceive 3: Breakup 4: Divorce 5: Cure for all kinds of diseases and viruses.

11. A lot of spam comments, but this helped me tremendously to figure out at least from a starting point measuring and cutting wood to form into joists. Really appreciate it!

12. PERFECT LOTTERY SPELL THAT WORK FAST WITHIN 24 HOURS WITH DR RAYPOWER LOTTERY SPELL POWERS
I saw so many testimonies about Dr Raypower a great lottery spell caster that will help you cast a lottery spell and give you the rightful numbers to win the lottery, i didn't believe it, at first but as life got harder i decided to take a try,  I contacted him also and told him i want to win a lottery he cast a lottery spell for me which i use and i play and i won \$3,000,000 (THREE MILLION DOLLARS). I am so grateful to this man Dr Raypower and I am making this known to every one out there who have been trying all day to win the lottery, believe me this is the only way to win the lottery, this is the real secret we all have been searching for. Do not waste time contact him today for you to also be a winner contact info below.

Email: Urgentspellcast@gmail.com or Urgentspellcast@yahoo.com

WhatsApp: +1 (424) 330-8109

Website: https://urgentspellcast.wordpress.com/.

13. I am here to give my testimony about Dr Ebhota who helped me.. i want to inform the public how i was cured from (HERPES SIMPLEX VIRUS) by salami, i visited different hospital but they gave me list of drugs like Famvir, Zovirax, and Valtrex which is very expensive to treat the symptoms and never cured me. I was browsing through the Internet searching for remedy on HERPES and i saw comment of people talking about how Dr Ehbota cured them. when i contacted him he gave me hope and send a Herbal medicine to me that i took for just 2 weeks and it seriously worked for me, my HERPES result came out negative. I am so happy as i am sharing this testimony. My advice to you all who thinks that there is no cure for herpes that is Not true just contact him and get cure from Dr Ebhota healing herbal cure of all kinds of sickness you may have like
(1) CANCER,
(2) DIABETES,
(3) HIV&AIDS,
(4) URINARY TRACT INFECTION,
(5) CANCER,
(6) IMPOTENCE,
(7) BARENESS/INFERTILITY
(8) DIARRHEA
(9) ASTHMA
(10)SIMPLEX HERPES AND GENITAL
(11)COLD SORE
HERPES. he also cure my friend from cervical cancer Email: drebhotasoultion@gmail.com or whatsapp him on +2348089535482 /https://drebhotasolution.wixsite.com/drebhotaherbalhome/

14. How I Got My Husband back... Am so excited to share my testimony of a real spell caster who brought my husband back to me. My husband and I have been married for about 6 years now. We were happily married with two kids, a boy and a girl. 3 months ago, I started to notice some strange behavior from him and a few weeks later I found out that my husband is seeing someone else. He started coming home late from work, he hardly cared about me or the kids anymore, Sometimes he goes out and doesn't even come back home for about 2-3 days. I did all I could to rectify this problem but all to no avail. I became very worried and needed help. As I was browsing through the Internet one day, I came across a website that suggested that Dr. Wale can help solve marital problems, restore broken relationships and so on. So, I felt I should give him a try. I contacted him and told him my problems and he told me what to do and I did it and he did a spell for me. 48 hours later, my husband came to me and apologized for the wrongs he did and promised never to do it again. Ever since then, everything has returned back to normal. My family are living together happily again.. All thanks to Dr. Wale If you have any problem contact him and I guarantee you that he will help you. He will not disappoint you. you can WhatsApp him +1(978) 406-9575 or Email him at : everlastingspellcast@gmail.com or or view his website for more review https://everlastingspellcaster.website2.me/contact

15. Hi viewers, I'm posting this Because i found lots of people having marriage problems which I also experienced. I recently found help from a man called Dr. Oselumen he did a great job that made my man fell back in love with me again after ten months of separation. I want you to know there are fake online spell Dr .s if someone out there needs help, can email this great spell caster, droselumen@gmail. com check or connect with him on WhatsApp +2348054265852. He will give you the best result.
CONTACT HIM FOR ANY KIND OF HELP,MONEY SPELL,LOTTERY SPELL,PREGNANCY SPELL,DIVORCE SPELL,SPELL TO STOP COURT CASE AND WIN ANY COURT PROBLEM,DEATH SPELL,BUSINESS SPELL,HEALING SPELL,SPELL TO REMOVE BLACK MAGIC OUT FROM YOUR LIFE,FAMILY AND MARRIAGE PROBLEM.

16. I have been playing the lottery since i was 19 years and now i am 47 meaning i have been playing the lottery for 28 years. The biggest amount I have ever won in my life was 1200 bucks. But one day my story turns to history after I find this man's name on the Internet that he is the best when it comes to winning the lottery. This man is a very strong voodoo Dr who gives out the lottery winning numbers that can never fail. After all my years of laboring and struggling to win the lottery i finally won ( \$12,000,000) Dr Winner, is the name,EMAIL him now: (Winnersspellcast@gmail.com this is the only way to win the lottery and the best way via his website:https://winnersspellcast.blogspot.com) Call or text him: +2348138289852

17. I am so happy that I made the right decision when I turned to Dr. Osasco, who helped me get my ex back by casting a love spell on him. One of the best decisions I've ever made was to contact Dr. Osasco to help me get my lover back. I was a life full of happiness after contacting Dr. Osasco, because not only did he not bring me his lover, but he also fell in love with himself more unique and excellent. If you need to spice up your relationship with more love and attention, contact Dr. Osasco on his email address [ osascotemple@gmail.com ] and be happy, just like me, thanks to Dr. Osasco for your great work.

18. DR EMU WHO HELP PEOPLE IN ANY TYPE OF LOTTERY NUMBERS
It is a very hard situation when playing the lottery and never won, or keep winning low fund not up to 100 bucks, i have been a victim of such a tough life, the biggest fund i have ever won was 100 bucks, and i have been playing lottery for almost 12 years now, things suddenly change the moment i came across a secret online, a testimony of a spell caster called dr emu, who help people in any type of lottery numbers, i was not easily convinced, but i decided to give try, now i am a proud lottery winner with the help of dr emu, i won \$1,000.0000.00 and i am making this known to every one out there who have been trying all day to win the lottery, believe me this is the only way to win the lottery.

Dr Emu can also help you fix this issues

(1)Ex back.
(2)Herbal cure & Spiritual healing.
(3)You want to be promoted in your office.
(4)Pregnancy spell.
(5)Win a court case.

Contact him on email Emutemple@gmail.com
What’s app +2347012841542
Website Https://emutemple.wordpress.com/

19. hello everyone reading this, i want to thank dr marsu for his good work in my life, i was married for 4 years and all of as sudden i had a little augment with my husband that lead to divorce, i was surprise and so weak i couldn't think of what to do i cried all day till my friend told me about dr marsu i gave a try and after 48 hours my husband called me and ask for forgiveness. i am happily married with children now, i want every one that need his help kindly mail him (drmarsuofficial@gmail.com) or WhatsApp `+2348052798385

20. I have been playing the lottery since i was 19 years and now i am 47 meaning i have been playing the lottery for 28 years. The biggest amount I have ever won in my life was 1200 bucks. But one day my story turns to history after I find this man's name on the Internet that he is the best when it comes to winning the lottery. This man is a very strong voodoo Dr who gives out the lottery winning numbers that can never fail. After all my years of laboring and struggling to win the lottery i finally won (\$12,000,000) Dr Winner, is the name, EMAIL him now: (Winnersspellcast@gmail.com this is the only way to win the lottery and the best way via his website:https://winnersspellcast.blogspot.com) Call or text him: +2348138289852,,,

21. GET YOUR EX LOVER BACK. This is my testimony of life that I will tell everyone. I have been married for 20 years Another woman had a spell to get me away from my lover, My husband left me and the children we suffered for 4 years until I saw post about where this man Dr Victor has helped so many people recover their broken marriages relationships to get their ex lovers back. I decided to give him a message about my family how my husband left me for another woman so he can help me bring back my loving husband home, This great man told me what to do and I followed him as he instructed. After 48 hours, as he told me, I saw a car enter the compound. I was shocked when I saw my husband. As I share my testimony with you my husband came back to me and the kids that's why I'm happy to put all of you in the same situations to meet this man for solutions to your problems bring your lover back to you mend your broken marriage your relationship restored back to happiness as you wished. Contact this great man, you can message him on his email... drvictorspellcaster01@gmail.com or message him on whatsapp with this number... +2348112935937

22. How to Play the Satta King Game
The Satta King Game is a lottery game in which players bet on collections of numbers ranging from 0 to 99. This game has a lot of similarities with lottery games. It is a popular type of lottery that can be played both online and offline. The Satta King is a kind of betting lottery. The players choose a number from the hundred available and bet on it. If they win, they are awarded a sum of 90 multiple rupees. This game is popular throughout India.
To start playing this game, you need to first log in to the satta matka King website. Click on the play now button and then create a username and password. Remember to choose a username that is not public and is not your family member's name. Once you've created a username and password, you can choose a game and click on the register button. This way, you'll be able to log in and start playing right away.
After logging into the Satta King website, you can begin playing the matka result King game. To register, click the play now button. To create your account, enter your username and password. Then, select the game you want to play and click the register button. This will open your profile for other players to see. satta result You should always be careful when choosing your user name and password. This is important because you don't want your friends and family to know who you are and what you're doing.
The Satta King Game has two main elements - the Satta kalyan matka result and the Satta king record chart. You can use the record chart to predict the Satta result that's about to open. There is also a fixed timing for each Satta kin game. Once you've played your Satta game, you'll be able to see the Satta khana and record chart in advance.
After you've chosen your numbers, you'll need to enter them. In the satka matka King game, players choose one number from one hundred. If they're right, they'll receive ninety multiple rupees. If they don't win, they'll be given eighty times the original amount. As a result, this game is a form of lottery. While the Satta King game may seem to be illegal in some countries, it is legal in India.
When you play the Satta King game online, you'll be satta matka result for winning. However, you'll be required to invest at least 30% of your money to win. This is an essential aspect of this game because you don't want to lose your money. You need to be able to quit when satka matka you're near the maximum amount of money. The more you play, the higher your chance of winning. The Satta King Game is a fun way to spend your free time, and it is a fun way to pass the time.
The Satta King Game is a great way to keep your satta result active. You can spend hours playing the game with friends and family, and the Satta King game is a great way to do so. The online version of the game is free to play and there are many ways to play. The only real disadvantage is that you have to be patient and have a lot of patience. If you want to win, you should invest some time to learn the basics of the game.
You can play the

23. Ranthambore National Park is Best Place to visit in holidays For enjoying Real Nature View and tigers kingdom You can see real tigers infront of your eyes by gypsy safari and you can click epic pictures of wild life animals.