About Engineer4Free
Engineer4Free is a tutorial site where anyone can learn university level engineering for free. Engineer4Free has made hundreds of YouTube tutorials and organized them into several courses ranging from Calculus to Project Management to Structural Analysis. Whether you're cramming at 3AM, reviewing for the FE exam, or just life-long-learning, you've come to the right place.
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What People Are Saying
IT'S SO OBVIOUS NOW. This must be what an epiphany feels like.
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Great video, I got the same kind of question in my examination and I nailed it.
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Thank You Patreon Supporters
Thank you to ALL of my Patreon supporters. Your contributions enable me to keep focusing on making new tutorials that all engineering students around the word can benefit from. Big shout out to the following individuals:
Aaron Barraso, Abasifreke David, Abeeralthani Nasser, Adnan Bonsu, Adriaan Badenhorst, Ahmad Shah, AJ Durnil, Al Alshahrani, Alejandro Gallardo, Alex Brindle, Am Tjabadi, Amine Sidi-Boumedine, Anabel Jacques, Andrew Edman, Angel Rodriguez, Angel Rojas, Anon, Anthony, Anton Kröss, Anvar Kunanbayev, Arian Davis, Arianna Vazquez, Audrey Afrifa, August Engelke, Augustine Uyah, Austin, Avery Hodell, Barbara Charalambidi, Bas, Benjamin Seow, Bhav Chatha, Bishesh Malla, Boba the Fish, Bonner Feller, Brendan Beall, Brendan Lamothe, Brian Geary, Bomber24, Cameron Wayne Huff, Casey Ellyson, Cesar Perez, Charlie, Charles Harres, Chibuzo Chimeka, Chris Patel, Claire Arnold, Clint C Ross, Clinton, Colin Goegle, Cyndy Y Zhu, Dakota Streck, Daniel Georgioff, Daniel Ribero, Darryn Medhurst, David G Allsebrook, David Keith, DD, Denzel, Devon, Dresser MTB, Edgar Berges, Eileen Hammer, Elizabeth Shepard, Elona Ganchenko, Emily Lane, Emily Stamos, Emrah, Enache, Ethan Coorey, Ethan Prescott, Farhan Majid, G, Garrett Romanzin, Gavin Lingefelt, George Hutson, Giovanni Arevalo, Greg Peterson, Haisem Said, Hannah, Harry Jackson, Hayden Claire McCombs, Hedi, Hijiri, Hunter Soulie, Ilgar Aziz, Isaac Washington, Isabel Bunn_25, Isabellaa, Isabelll, Isha Huft, Izet Zekiroski, Jaco, Jack Boreham, James I Countryman, Jared Gumula, Jarom Foster, Jasmine, Joel Harris, Jonah Simminger, Jack Boland, Jacob Shuman, Jason, Jason Kim, Jay Venca, Jaxx Brown, Jeaux, Jeremy Bozzo, Jerry, Jesner Pereira, Jess Wood, Jesus Garcia, JJJ, Joe Sefchik, Joey Moriarity, John Burkus, John K, John Moors, John S, Johnna Verry, Jonathon Rama, Jones Llabres Inso, Jordan Vantatenhove, Jorge Guevara, Joseph Marks, Joshua Bernabe, Julian Osario, Jullian Phan, Kade Hagerson, Kaif Rizvi, Katyria Cruz, Keara Kerr, Keltan Kemp, Kevin Roupec, Kevin Parra, Kiowa Campbell, Kuliwa Syakwasia, Kyle, Kyle Haynes, Kyley Fijalkowski, Laura Cardenas, Laura Nicholson, Lauryn Grant, Leanna Carr, Lee Rodrigue, Lemuel, Liam, Lillie Gillespie, Lindsay, Liz Kelly, LLJMMOOSE, Logan S, Mackenzie Henderson, Malcom, Mals Boehle, Marcus Vela, Mark Zagumennyy, Maria Lessis, Matara Jonathan, Mateusz Garnys, Matt, Max Ruane, Melody Dan, Max Eiszele, Miro Tapio Repo, Michael Jin, Miguel Alvarez, Mitch Hewitt, Mohamed Awale, Mouad Sheredi, Nabin Bhattarai, Nareg Shirajian, Nathalia Peregrino, Nawath Aljaberi, Ness L, Niamh Donohue, Nick Sprague, Nick Wallace-Beach, Nikolaj Munk, Nikoloz Babajanashvili, Noah, Nyteceya Lewis, Ola Ayeko, Ookami, Orren, Otto Nemesvari, Parker Spurlin, Pascal Chitho, Patrick Long, Paul Fieldwick, Peter, Rachel Thomas, Radu, Raines09k, Rashad, Raymond Cronin, Renne Eustaquio, Rigo Marulanda, Riley Giwoo Jin, Roger Bjarke Andersen, Roman Jackson, Ryan Stashko, 少卿 倪, Saisanjith Kakkireni, Salvador Gil, Sam Brooks, Sampson Tandoh, Sarah Mbayi, Saran, Sarah Norberg, Sauce, Scott S., Scarlet Dixon, Scott Walker, Sebastian Kenley, Shahram Omary, Shalamar Clarke, Shaun Riach, Shirin Ibesh, Simon Roper, Skar, Stefan Henry, Stephen Pimentel, Steven, Steven Arreola, Steven W., Sulabh Gupta, Sya, Syed Amir Haikal, Syed Musawi, Taiwo Babalola, Tawny Denzer, Terrell Jackson, TheKingsReaper, Thomas Andrew Francis, Thomas Schumacher, Timothy Rogers, Tobias V, Trinity Ijoma, Truman Spring, Turiya Moka, Varsha, Vassilis Bakalas, Vaughn Patrick, Veronica McRae, Walker Young, Wes Dubroc, Will Hornung, Will Schreiber, Xander Zhang, Yusuke Morita, Zac Davidson, Zack Martin, Zane King-Williamson, Zoba Don
Aaron Barraso, Abasifreke David, Abeeralthani Nasser, Adnan Bonsu, Adriaan Badenhorst, Ahmad Shah, AJ Durnil, Al Alshahrani, Alejandro Gallardo, Alex Brindle, Am Tjabadi, Amine Sidi-Boumedine, Anabel Jacques, Andrew Edman, Angel Rodriguez, Angel Rojas, Anon, Anthony, Anton Kröss, Anvar Kunanbayev, Arian Davis, Arianna Vazquez, Audrey Afrifa, August Engelke, Augustine Uyah, Austin, Avery Hodell, Barbara Charalambidi, Bas, Benjamin Seow, Bhav Chatha, Bishesh Malla, Boba the Fish, Bonner Feller, Brendan Beall, Brendan Lamothe, Brian Geary, Bomber24, Cameron Wayne Huff, Casey Ellyson, Cesar Perez, Charlie, Charles Harres, Chibuzo Chimeka, Chris Patel, Claire Arnold, Clint C Ross, Clinton, Colin Goegle, Cyndy Y Zhu, Dakota Streck, Daniel Georgioff, Daniel Ribero, Darryn Medhurst, David G Allsebrook, David Keith, DD, Denzel, Devon, Dresser MTB, Edgar Berges, Eileen Hammer, Elizabeth Shepard, Elona Ganchenko, Emily Lane, Emily Stamos, Emrah, Enache, Ethan Coorey, Ethan Prescott, Farhan Majid, G, Garrett Romanzin, Gavin Lingefelt, George Hutson, Giovanni Arevalo, Greg Peterson, Haisem Said, Hannah, Harry Jackson, Hayden Claire McCombs, Hedi, Hijiri, Hunter Soulie, Ilgar Aziz, Isaac Washington, Isabel Bunn_25, Isabellaa, Isabelll, Isha Huft, Izet Zekiroski, Jaco, Jack Boreham, James I Countryman, Jared Gumula, Jarom Foster, Jasmine, Joel Harris, Jonah Simminger, Jack Boland, Jacob Shuman, Jason, Jason Kim, Jay Venca, Jaxx Brown, Jeaux, Jeremy Bozzo, Jerry, Jesner Pereira, Jess Wood, Jesus Garcia, JJJ, Joe Sefchik, Joey Moriarity, John Burkus, John K, John Moors, John S, Johnna Verry, Jonathon Rama, Jones Llabres Inso, Jordan Vantatenhove, Jorge Guevara, Joseph Marks, Joshua Bernabe, Julian Osario, Jullian Phan, Kade Hagerson, Kaif Rizvi, Katyria Cruz, Keara Kerr, Keltan Kemp, Kevin Roupec, Kevin Parra, Kiowa Campbell, Kuliwa Syakwasia, Kyle, Kyle Haynes, Kyley Fijalkowski, Laura Cardenas, Laura Nicholson, Lauryn Grant, Leanna Carr, Lee Rodrigue, Lemuel, Liam, Lillie Gillespie, Lindsay, Liz Kelly, LLJMMOOSE, Logan S, Mackenzie Henderson, Malcom, Mals Boehle, Marcus Vela, Mark Zagumennyy, Maria Lessis, Matara Jonathan, Mateusz Garnys, Matt, Max Ruane, Melody Dan, Max Eiszele, Miro Tapio Repo, Michael Jin, Miguel Alvarez, Mitch Hewitt, Mohamed Awale, Mouad Sheredi, Nabin Bhattarai, Nareg Shirajian, Nathalia Peregrino, Nawath Aljaberi, Ness L, Niamh Donohue, Nick Sprague, Nick Wallace-Beach, Nikolaj Munk, Nikoloz Babajanashvili, Noah, Nyteceya Lewis, Ola Ayeko, Ookami, Orren, Otto Nemesvari, Parker Spurlin, Pascal Chitho, Patrick Long, Paul Fieldwick, Peter, Rachel Thomas, Radu, Raines09k, Rashad, Raymond Cronin, Renne Eustaquio, Rigo Marulanda, Riley Giwoo Jin, Roger Bjarke Andersen, Roman Jackson, Ryan Stashko, 少卿 倪, Saisanjith Kakkireni, Salvador Gil, Sam Brooks, Sampson Tandoh, Sarah Mbayi, Saran, Sarah Norberg, Sauce, Scott S., Scarlet Dixon, Scott Walker, Sebastian Kenley, Shahram Omary, Shalamar Clarke, Shaun Riach, Shirin Ibesh, Simon Roper, Skar, Stefan Henry, Stephen Pimentel, Steven, Steven Arreola, Steven W., Sulabh Gupta, Sya, Syed Amir Haikal, Syed Musawi, Taiwo Babalola, Tawny Denzer, Terrell Jackson, TheKingsReaper, Thomas Andrew Francis, Thomas Schumacher, Timothy Rogers, Tobias V, Trinity Ijoma, Truman Spring, Turiya Moka, Varsha, Vassilis Bakalas, Vaughn Patrick, Veronica McRae, Walker Young, Wes Dubroc, Will Hornung, Will Schreiber, Xander Zhang, Yusuke Morita, Zac Davidson, Zack Martin, Zane King-Williamson, Zoba Don