diff --git a/src/Trade/AbstractMaterialData.h b/src/Trade/AbstractMaterialData.h
index 23654384e..e737c57da 100644
--- a/src/Trade/AbstractMaterialData.h
+++ b/src/Trade/AbstractMaterialData.h
@@ -39,11 +39,6 @@ namespace Magnum { namespace Trade {
 Subclasses provide access to parameters for given material type.
 */
 class MAGNUM_EXPORT AbstractMaterialData {
-    AbstractMaterialData(const AbstractMaterialData&) = delete;
-    AbstractMaterialData(AbstractMaterialData&&) = delete;
-    AbstractMaterialData& operator=(const AbstractMaterialData&) = delete;
-    AbstractMaterialData& operator=(AbstractMaterialData&&) = delete;
-
     public:
         /** @brief Material type */
         enum class Type: UnsignedByte {
@@ -59,6 +54,18 @@ class MAGNUM_EXPORT AbstractMaterialData {
         /** @brief Destructor */
         virtual ~AbstractMaterialData() = 0;
 
+        /** @brief Copying is not allowed */
+        AbstractMaterialData(const AbstractMaterialData&) = delete;
+
+        /** @brief Move constructor */
+        AbstractMaterialData(AbstractMaterialData&&) = default;
+
+        /** @brief Copying is not allowed */
+        AbstractMaterialData& operator=(const AbstractMaterialData&) = delete;
+
+        /** @brief Move assignment */
+        AbstractMaterialData& operator=(AbstractMaterialData&&) = default;
+
         /** @brief Material type */
         Type type() const { return _type; }
 
diff --git a/src/Trade/MeshObjectData2D.h b/src/Trade/MeshObjectData2D.h
index b250e28df..77f819b18 100644
--- a/src/Trade/MeshObjectData2D.h
+++ b/src/Trade/MeshObjectData2D.h
@@ -39,11 +39,6 @@ Provides access to material information for given mesh instance.
 @see MeshObjectData3D
 */
 class MAGNUM_EXPORT MeshObjectData2D: public ObjectData2D {
-    MeshObjectData2D(const MeshObjectData2D&) = delete;
-    MeshObjectData2D(MeshObjectData2D&&) = delete;
-    MeshObjectData2D& operator=(const MeshObjectData2D&) = delete;
-    MeshObjectData2D& operator=(MeshObjectData2D&&) = delete;
-
     public:
         /**
          * @brief Constructor
@@ -56,6 +51,18 @@ class MAGNUM_EXPORT MeshObjectData2D: public ObjectData2D {
          */
         explicit MeshObjectData2D(std::vector<UnsignedInt> children, const Matrix3& transformation, UnsignedInt instance, UnsignedInt material);
 
+        /** @brief Copying is not allowed */
+        MeshObjectData2D(const MeshObjectData2D&) = delete;
+
+        /** @brief Move constructor */
+        MeshObjectData2D(MeshObjectData2D&&) = default;
+
+        /** @brief Copying is not allowed */
+        MeshObjectData2D& operator=(const MeshObjectData2D&) = delete;
+
+        /** @brief Move assignment */
+        MeshObjectData2D& operator=(MeshObjectData2D&&) = default;
+
         /** @brief Material ID */
         UnsignedInt material() const { return _material; }
 
diff --git a/src/Trade/MeshObjectData3D.h b/src/Trade/MeshObjectData3D.h
index e29250553..1a5b820af 100644
--- a/src/Trade/MeshObjectData3D.h
+++ b/src/Trade/MeshObjectData3D.h
@@ -39,11 +39,6 @@ Provides access to material information for given mesh instance.
 @see MeshObjectData2D
 */
 class MAGNUM_EXPORT MeshObjectData3D: public ObjectData3D {
-    MeshObjectData3D(const MeshObjectData3D&) = delete;
-    MeshObjectData3D(MeshObjectData3D&&) = delete;
-    MeshObjectData3D& operator=(const MeshObjectData3D&) = delete;
-    MeshObjectData3D& operator=(MeshObjectData3D&&) = delete;
-
     public:
         /**
          * @brief Constructor
@@ -56,6 +51,18 @@ class MAGNUM_EXPORT MeshObjectData3D: public ObjectData3D {
          */
         explicit MeshObjectData3D(std::vector<UnsignedInt> children, const Matrix4& transformation, UnsignedInt instance, UnsignedInt material);
 
+        /** @brief Copying is not allowed */
+        MeshObjectData3D(const MeshObjectData3D&) = delete;
+
+        /** @brief Move constructor */
+        MeshObjectData3D(MeshObjectData3D&&) = default;
+
+        /** @brief Copying is not allowed */
+        MeshObjectData3D& operator=(const MeshObjectData3D&) = delete;
+
+        /** @brief Move assignment */
+        MeshObjectData3D& operator=(MeshObjectData3D&&) = default;
+
         /** @brief Material ID */
         UnsignedInt material() const { return _material; }
 
diff --git a/src/Trade/ObjectData2D.cpp b/src/Trade/ObjectData2D.cpp
index e4d8413b9..a9fb2e861 100644
--- a/src/Trade/ObjectData2D.cpp
+++ b/src/Trade/ObjectData2D.cpp
@@ -30,8 +30,12 @@ ObjectData2D::ObjectData2D(std::vector<UnsignedInt> children, const Matrix3& tra
 
 ObjectData2D::ObjectData2D(std::vector<UnsignedInt> children, const Matrix3& transformation): _children(children), _transformation(transformation), _instanceType(InstanceType::Empty), _instanceId(-1) {}
 
+ObjectData2D::ObjectData2D(ObjectData2D&&) = default;
+
 ObjectData2D::~ObjectData2D() = default;
 
+ObjectData2D& ObjectData2D::operator=(ObjectData2D&&) = default;
+
 #ifndef DOXYGEN_GENERATING_OUTPUT
 Debug operator<<(Debug debug, ObjectData2D::InstanceType value) {
     switch(value) {
diff --git a/src/Trade/ObjectData2D.h b/src/Trade/ObjectData2D.h
index ec44b0181..0ee54dd5b 100644
--- a/src/Trade/ObjectData2D.h
+++ b/src/Trade/ObjectData2D.h
@@ -43,11 +43,6 @@ MeshObjectData2D, which is specialized for objects with mesh instance type.
 @see ObjectData3D
 */
 class MAGNUM_EXPORT ObjectData2D {
-    ObjectData2D(const ObjectData2D&) = delete;
-    ObjectData2D(ObjectData2D&&) = delete;
-    ObjectData2D& operator=(const ObjectData2D&) = delete;
-    ObjectData2D& operator=(ObjectData2D&&) = delete;
-
     public:
         /** @brief Instance type */
         enum class InstanceType {
@@ -72,9 +67,21 @@ class MAGNUM_EXPORT ObjectData2D {
          */
         explicit ObjectData2D(std::vector<UnsignedInt> children, const Matrix3& transformation);
 
+        /** @brief Copying is not allowed */
+        ObjectData2D(const ObjectData2D&) = delete;
+
+        /** @brief Move constructor */
+        ObjectData2D(ObjectData2D&&);
+
         /** @brief Destructor */
         virtual ~ObjectData2D();
 
+        /** @brief Copying is not allowed */
+        ObjectData2D& operator=(const ObjectData2D&) = delete;
+
+        /** @brief Move assignment */
+        ObjectData2D& operator=(ObjectData2D&&);
+
         /** @brief Child objects */
         std::vector<UnsignedInt>& children() { return _children; }
 
diff --git a/src/Trade/ObjectData3D.cpp b/src/Trade/ObjectData3D.cpp
index 81b5e2dde..217eaee73 100644
--- a/src/Trade/ObjectData3D.cpp
+++ b/src/Trade/ObjectData3D.cpp
@@ -30,6 +30,10 @@ ObjectData3D::ObjectData3D(std::vector<UnsignedInt> children, const Matrix4& tra
 
 ObjectData3D::ObjectData3D(std::vector<UnsignedInt> children, const Matrix4& transformation): _children(std::move(children)), _transformation(transformation), _instanceType(InstanceType::Empty), _instanceId(-1) {}
 
+ObjectData3D::ObjectData3D(ObjectData3D&&) = default;
+
+ObjectData3D& ObjectData3D::operator=(ObjectData3D&&) = default;
+
 #ifndef DOXYGEN_GENERATING_OUTPUT
 Debug operator<<(Debug debug, ObjectData3D::InstanceType value) {
     switch(value) {
diff --git a/src/Trade/ObjectData3D.h b/src/Trade/ObjectData3D.h
index a2ccffe21..e3ff8d821 100644
--- a/src/Trade/ObjectData3D.h
+++ b/src/Trade/ObjectData3D.h
@@ -43,11 +43,6 @@ MeshObjectData3D, which is specialized for objects with mesh instance type.
 @see ObjectData2D
 */
 class MAGNUM_EXPORT ObjectData3D {
-    ObjectData3D(const ObjectData3D&) = delete;
-    ObjectData3D(ObjectData3D&&) = delete;
-    ObjectData3D& operator=(const ObjectData3D&) = delete;
-    ObjectData3D& operator=(ObjectData3D&&) = delete;
-
     public:
         /** @brief Instance type */
         enum class InstanceType {
@@ -73,9 +68,21 @@ class MAGNUM_EXPORT ObjectData3D {
          */
         explicit ObjectData3D(std::vector<UnsignedInt> children, const Matrix4& transformation);
 
+        /** @brief Copying is not allowed */
+        ObjectData3D(const ObjectData3D&) = delete;
+
+        /** @brief Move constructor */
+        ObjectData3D(ObjectData3D&&);
+
         /** @brief Destructor */
         virtual ~ObjectData3D() {}
 
+        /** @brief Copying is not allowed */
+        ObjectData3D& operator=(const ObjectData3D&) = delete;
+
+        /** @brief Move assignment */
+        ObjectData3D& operator=(ObjectData3D&&);
+
         /** @brief Child objects */
         std::vector<UnsignedInt>& children() { return _children; }
 
diff --git a/src/Trade/SceneData.cpp b/src/Trade/SceneData.cpp
index 889085bb0..5289be73e 100644
--- a/src/Trade/SceneData.cpp
+++ b/src/Trade/SceneData.cpp
@@ -28,4 +28,8 @@ namespace Magnum { namespace Trade {
 
 SceneData::SceneData(std::vector<UnsignedInt> children2D, std::vector<UnsignedInt> children3D): _children2D(std::move(children2D)), _children3D(std::move(children3D)) {}
 
+SceneData::SceneData(SceneData&&) = default;
+
+SceneData& SceneData::operator=(SceneData&&) = default;
+
 }}
diff --git a/src/Trade/SceneData.h b/src/Trade/SceneData.h
index ba81ff8c8..2a2a5d7fa 100644
--- a/src/Trade/SceneData.h
+++ b/src/Trade/SceneData.h
@@ -40,11 +40,6 @@ namespace Magnum { namespace Trade {
 @brief %Scene data
 */
 class MAGNUM_EXPORT SceneData {
-    SceneData(const SceneData&) = delete;
-    SceneData(SceneData&&) = delete;
-    SceneData& operator=(const SceneData&) = delete;
-    SceneData& operator=(SceneData&&) = delete;
-
     public:
         /**
          * @brief Constructor
@@ -53,6 +48,18 @@ class MAGNUM_EXPORT SceneData {
          */
         explicit SceneData(std::vector<UnsignedInt> children2D, std::vector<UnsignedInt> children3D);
 
+        /** @brief Copying is not allowed */
+        SceneData(const SceneData&) = delete;
+
+        /** @brief Move constructor */
+        SceneData(SceneData&&);
+
+        /** @brief Copying is not allowed */
+        SceneData& operator=(const SceneData&) = delete;
+
+        /** @brief Move assignment */
+        SceneData& operator=(SceneData&&);
+
         /** @brief Two-dimensional child objects */
         const std::vector<UnsignedInt>& children2D() const { return _children2D; }
 
diff --git a/src/Trade/TextureData.h b/src/Trade/TextureData.h
index 870ab392d..996198c42 100644
--- a/src/Trade/TextureData.h
+++ b/src/Trade/TextureData.h
@@ -33,11 +33,19 @@ namespace Magnum { namespace Trade {
 /**
 @brief %Texture data
 */
-class MAGNUM_EXPORT TextureData {
-    TextureData(const TextureData&) = delete;
-    TextureData(TextureData&&) = delete;
-    TextureData& operator=(const TextureData&) = delete;
-    TextureData& operator=(TextureData&&) = delete;
+class TextureData {
+    public:
+        /** @brief Copying is not allowed */
+        TextureData(const TextureData&) = delete;
+
+        /** @brief Move constructor */
+        TextureData(TextureData&&) = default;
+
+        /** @brief Copying is not allowed */
+        TextureData& operator=(const TextureData&) = delete;
+
+        /** @brief Move assignment */
+        TextureData& operator=(TextureData&&) = default;
 };
 
 }}