diff --git a/src/loadbearing_wall/geom_ops.py b/src/loadbearing_wall/geom_ops.py
index 7308228..f80a980 100644
--- a/src/loadbearing_wall/geom_ops.py
+++ b/src/loadbearing_wall/geom_ops.py
@@ -11,7 +11,7 @@ def apply_spread_angle(
     w1: Optional[float] = None,
     x1: Optional[float] = None,
     p: Optional[float] = None,
-    x: Optional[float] = None
+    x: Optional[float] = None,
 ) -> tuple[float, float, float, float]:
     """
     Returns a dictionary representing the load described by
@@ -64,16 +64,16 @@ def apply_minimum_width(
     """
     Returns a dictionary representing a distributed load
     representing the point load converted to a distributed
-    load over the 'spread_width' in such a way that the 
+    load over the 'spread_width' in such a way that the
     point load will be distributed an equal amount over
     half of the spread_width on each side of point load.
 
     If the point load location is 0 or wall_length, then
     the point load will be a distributed load over half
     of the spread_width (since there is not room for the
-    other half). 
+    other half).
 
-    Load locations between zero/wall_length and half of the 
+    Load locations between zero/wall_length and half of the
     spread_width will be linearly interpolated.
     """
     assert spread_width <= wall_length
diff --git a/src/loadbearing_wall/linear_reactions.py b/src/loadbearing_wall/linear_reactions.py
index 528404a..7dadd67 100644
--- a/src/loadbearing_wall/linear_reactions.py
+++ b/src/loadbearing_wall/linear_reactions.py
@@ -95,9 +95,7 @@ def from_projected_loads(
                     )
         return cls(linear_reaction_components, w0, w1, x0, x1)
 
-    def extract_reaction_string(
-        self, xa: float, xb: float, case: str, dir: str
-    ):
+    def extract_reaction_string(self, xa: float, xb: float, case: str, dir: str):
         """
         Returns a LinearReactionString representing the linear reactions that
         exist between 'xa' and 'xb' extracted from self.
diff --git a/src/loadbearing_wall/wall_model.py b/src/loadbearing_wall/wall_model.py
index baa2597..c46ce0a 100644
--- a/src/loadbearing_wall/wall_model.py
+++ b/src/loadbearing_wall/wall_model.py
@@ -20,10 +20,10 @@ class LinearWallModel(BaseModel):
     out_of_plane_dir: str = "y"
     apply_spread_angle_gravity: bool = True
     apply_spread_angle_inplane: bool = True
-    magnitude_point_key: str = 'p'
+    magnitude_point_key: str = "p"
     magnitude_start_key: str = "w0"
     magnitude_end_key: str = "w1"
-    location_point_key: str = 'x'
+    location_point_key: str = "x"
     location_start_key: str = "x0"
     location_end_key: str = "x1"
     reverse_reaction_force_direction: bool = True
@@ -229,7 +229,7 @@ def spread_loads(self) -> None:
                             point_load[p],
                             point_load[x],
                             self.minimum_point_spread,
-                            self.length
+                            self.length,
                         )
                         proj[load_dir][load_case].append(
                             {