Crawl your way through Oscorp's Research Center. After you get off the glass, you should see a Metal Box to your right just before a vent. Go out to the Assembly Line and hit the ceiling. Down along the assembly line itself will be four objects the control it. You'll have to destroy all four of them. Find where they are and then Web Rush towards them. While in mid-air, look directly across from the object and you'll find a turret. Web Rush to the turret and destroy it. Be careful of the two Sentries on the ground. Take them out if you'd like and then destroy the control panel.
Do this for all four of the objects but be careful as the Sentries search patterns become a little more complex a little further up. Once all four of them are destroyed, you can get onto the conveyor belt... sort of. The belt itself is electrified so stand on one of the sentries. Each of the construction arms will be venting steam so plug those up with webbing and then make your way back towards the romo that Smythe and Connors was in (back the way you come, not towards the force field).
You'll enter a large room with four small doors that are producing sentries. Go around the room on the highest parts of the walls and shoot at the doors from there. Plug up all four doors and then the large cargo door will open to let even more Sentries into the area. You have two options at this point and the best is probably somewhere in between. You can try and fight your way out or you can just run out. There's a fan at the back of the elevator and you need to stop it with webbing to get through. However, if you go immediately, there's probably too many sentries to survive. Try using the environment to take out as many sentries as possible and then go for it. It may take a couple of tries but keep going.
On the other side of the fan, hop down the vent and then enter the duct at the bottom. Crawl along until you come to a bridge. You'll follow Connors and Smythe until you are in another duct. Follow it along until it opens up. Immediately to your left will be a Metal Box. Make your way through the vents but watch for the steam. Time it to go when the steam shuts off. Towards the end, you'll come to a T intersection. Go left and grab the Metal Box and then head back to go right. Go through the duct at the end.
This will drop you into Connors' prison. He'll be trapped in a force field with four generators around the room. To destroy them, you'll have to throw the sentries at them as they come into the room. If you need to, destroy the first wave so you only have one sentry to deal with at a time. Follow Connors once he's free...
After the cutscene, you'll have to fight Smythe. You actually will lose this fight. After you do, you'll wind up in a courtyard with a bunch of sentries. Make your way through this first group and into a second group. At the back of this area will be a Metal Box. Grab it and head through this area too. Go through the green door and up the stairs. At the top, take a right. In this square room, you'll find a Magazine on the left and your web shooters on the right.
With your Web Shooters in hand, use them to interact with the levers. This will open a door to a dock. Take a quick picture of the giant machine here and then run along the bridges. If you see cones, go between them and if you see a road block, turn. A road block means you're going in the wrong direction.
Go forward (away from the sentries). Turn right, jump the gap and then get on the red pipe. Turn left and jump the next two gaps. Turn again and jump the large gap. Get on this second red pipe and follow it for a little ways. Once you are on land, head left and jump one gap. Turn right and shoot at the machine to move it towards you. Jump across the gap and move to the next bridge section. Shoot the machine to move it over again. Jump over to get the Metal Box, then jump back. Go up one more spot and shoot at the machine one last time to move it over. Cross the gap and head towards the machine.
Hop on the red pipe and part way along, you'll be able to jump left onto the giant robot for a Metal Box. Get back on the pipe and move along to a red shipping crate. Jump back ot the bridges and move ahead to some stairs. Go up the stairs, turn right and jump a couple gaps to get to more red pipes. Keep running along these pipes until you get to more stairs. Go up the stairs and jump on the next red pipe. When you get off, you'll be attacked by more sentries in front of you. Run past them and into the building.
Follow the hallways. Don't enter the side rooms but keep going down the halls. When you come across a turret, shoot it with your Web Shooters to slow it down. Run past it and into the room with the green sign.
Turn to the right and start climbing the boxes Jump across the gaps keep making your way up to the top. At the top, turn right and head into the halls. Cross the hall and use the terminal in the next room to activate the engine.
Go down the stairs in front of you. Make your way to the bottom floor and then go up the stairs on the right side. There will be a terminal here that will move the engine to the right. Activate that and then head back to the lower level. Go up the other set of stairs to find a terminal that will lower the engine. Head back to the beginning of the room and activate the engine again to make a hole in the wall.
You'll be on some catwalks. Turn right and run right by the sentries. At the end, jump through the broken window. Go into the hallway and take right followed by a quick left. This will leave you in another warehouse room. Go into it and start climbing to the top. At the top, stop the fan and head through. On the other side, go right and through the next fan. You'll reenter the dock area.
Follow the catwalks until you come to a T intersection. Head left real quick to grab a Metal Box. Keep going until you are on the giant robot. Cross the top of the robot to the other side. Go up the stairs and follow the catwalk to a large red pipe. Follow that all the way to the end. Hop onto the catwalk and start running as the robot destroys the bridge behind you. Use your web shooters to cross through the steam. Hop on the next red pipe and follow it to the last part of the catwalk. Jump onto it and start running out of the facility.
You'll end up in a crawlspace outside. Keep crawling forward to get into the streets. Find the big burning buses in the distance and run towards them. At the end, turn right and go into the alleyway. This will take you to another street. Turn right and go up the street. At the end, turn right and then when the car ahead explodes, turn left into the alleyway. Turn left coming out of the alley and head for the giant electric explosion. Go down into the tunnels and then into the sewers.