diff --git a/src/librustc_codegen_ssa/mir/place.rs b/src/librustc_codegen_ssa/mir/place.rs
index 90aa9f6cbc763..5fad4a24b262e 100644
--- a/src/librustc_codegen_ssa/mir/place.rs
+++ b/src/librustc_codegen_ssa/mir/place.rs
@@ -335,11 +335,20 @@ impl<'a, 'tcx: 'a, V: CodegenObject> PlaceRef<'tcx, V> {
         bx: &mut Bx,
         llindex: V
     ) -> Self {
+        // Statically compute the offset if we can, otherwise just use the element size,
+        // as this will yield the lowest alignment.
+        let layout = self.layout.field(bx, 0);
+        let offset = if bx.is_const_integral(llindex) {
+            layout.size.checked_mul(bx.const_to_uint(llindex), bx).unwrap_or(layout.size)
+        } else {
+            layout.size
+        };
+
         PlaceRef {
             llval: bx.inbounds_gep(self.llval, &[bx.cx().const_usize(0), llindex]),
             llextra: None,
-            layout: self.layout.field(bx.cx(), 0),
-            align: self.align
+            layout,
+            align: self.align.restrict_for_offset(offset),
         }
     }
 
diff --git a/src/librustc_codegen_ssa/mir/rvalue.rs b/src/librustc_codegen_ssa/mir/rvalue.rs
index c932ffd1c1bda..052342dd7597b 100644
--- a/src/librustc_codegen_ssa/mir/rvalue.rs
+++ b/src/librustc_codegen_ssa/mir/rvalue.rs
@@ -131,8 +131,9 @@ impl<'a, 'tcx: 'a, Bx: BuilderMethods<'a, 'tcx>> FunctionCx<'a, 'tcx, Bx> {
                 let keep_going = header_bx.icmp(IntPredicate::IntNE, current, end);
                 header_bx.cond_br(keep_going, body_bx.llbb(), next_bx.llbb());
 
+                let align = dest.align.restrict_for_offset(dest.layout.field(bx.cx(), 0).size);
                 cg_elem.val.store(&mut body_bx,
-                    PlaceRef::new_sized(current, cg_elem.layout, dest.align));
+                    PlaceRef::new_sized(current, cg_elem.layout, align));
 
                 let next = body_bx.inbounds_gep(current, &[bx.cx().const_usize(1)]);
                 body_bx.br(header_bx.llbb());
diff --git a/src/test/codegen/issue-56927.rs b/src/test/codegen/issue-56927.rs
new file mode 100644
index 0000000000000..0544ff86aacfa
--- /dev/null
+++ b/src/test/codegen/issue-56927.rs
@@ -0,0 +1,44 @@
+// compile-flags: -C no-prepopulate-passes
+
+#![crate_type="rlib"]
+use std::usize;
+
+#[repr(align(16))]
+pub struct S {
+    arr: [u32; 4],
+}
+
+// CHECK-LABEL: @test1
+// CHECK: store i32 0, i32* %{{.+}}, align 16
+// CHECK: store i32 1, i32* %{{.+}}, align 4
+// CHECK: store i32 2, i32* %{{.+}}, align 8
+// CHECK: store i32 3, i32* %{{.+}}, align 4
+#[no_mangle]
+pub fn test1(s: &mut S) {
+    s.arr[0] = 0;
+    s.arr[1] = 1;
+    s.arr[2] = 2;
+    s.arr[3] = 3;
+}
+
+// CHECK-LABEL: @test2
+// CHECK: store i32 4, i32* %{{.+}}, align 4
+#[allow(const_err)]
+#[no_mangle]
+pub fn test2(s: &mut S) {
+    s.arr[usize::MAX / 4 + 1] = 4;
+}
+
+// CHECK-LABEL: @test3
+// CHECK: store i32 5, i32* %{{.+}}, align 4
+#[no_mangle]
+pub fn test3(s: &mut S, i: usize) {
+    s.arr[i] = 5;
+}
+
+// CHECK-LABEL: @test4
+// CHECK: store i32 6, i32* %{{.+}}, align 4
+#[no_mangle]
+pub fn test4(s: &mut S) {
+    s.arr = [6; 4];
+}
diff --git a/src/test/codegen/packed.rs b/src/test/codegen/packed.rs
index fb6507fd22a4b..3b4e89f12e0ad 100644
--- a/src/test/codegen/packed.rs
+++ b/src/test/codegen/packed.rs
@@ -83,6 +83,42 @@ pub fn call_pkd2(f: fn() -> Array) -> BigPacked2 {
     BigPacked2 { dealign: 0, data: f() }
 }
 
+// CHECK-LABEL: @write_packed_array1
+// CHECK: store i32 0, i32* %{{.+}}, align 1
+// CHECK: store i32 1, i32* %{{.+}}, align 1
+// CHECK: store i32 2, i32* %{{.+}}, align 1
+#[no_mangle]
+pub fn write_packed_array1(p: &mut BigPacked1) {
+    p.data.0[0] = 0;
+    p.data.0[1] = 1;
+    p.data.0[2] = 2;
+}
+
+// CHECK-LABEL: @write_packed_array2
+// CHECK: store i32 0, i32* %{{.+}}, align 2
+// CHECK: store i32 1, i32* %{{.+}}, align 2
+// CHECK: store i32 2, i32* %{{.+}}, align 2
+#[no_mangle]
+pub fn write_packed_array2(p: &mut BigPacked2) {
+    p.data.0[0] = 0;
+    p.data.0[1] = 1;
+    p.data.0[2] = 2;
+}
+
+// CHECK-LABEL: @repeat_packed_array1
+// CHECK: store i32 42, i32* %{{.+}}, align 1
+#[no_mangle]
+pub fn repeat_packed_array1(p: &mut BigPacked1) {
+    p.data.0 = [42; 8];
+}
+
+// CHECK-LABEL: @repeat_packed_array2
+// CHECK: store i32 42, i32* %{{.+}}, align 2
+#[no_mangle]
+pub fn repeat_packed_array2(p: &mut BigPacked2) {
+    p.data.0 = [42; 8];
+}
+
 #[repr(packed)]
 #[derive(Copy, Clone)]
 pub struct Packed1Pair(u8, u32);