Do you add a spell attack bonus 5e to dnd damage?

We do not add your spell attack bonus 5e to the damage on your rolls. It will work for the attack modifier for a spell that needs it. You may add it to any attack. In the case of the 5e magic missile, you have three separate attacks.

Do you need to add a spell attack bonus to the 5e magic missile?

The spell description states, your spellcasting ability may not evolve into play at all.

We do not get any attack roll to hit by this spell, so you don’t attach any 5e spell attack bonus.

There is no evidence of any saving throw, so you don’t need to combine your modifier to the DC.
The injury is set at 1d4+1 damage per magic missile, with no evidence of any use of your spellcasting ability modifier. As opposed to, say, healing word 5e symbolizes adding it when resolving your spell.
Your Spellcasting Ability Modifier

Dnd Spell GIF from Dnd GIFs

How do you calculate spell attack bonus 5e for Bard, Cleric & Paladin?

The Spell Attack Bonus 5e in your Dungeon and Dragon roleplay adds to attack rolls. It is easy to calculate. Use your Proficiency Bonus plus your appropriate Ability Modifier (normally Strength for melee weapons and Dexterity for ranged attacks)

Bard 5e

For a bard 5e spell, Charisma is your spellcasting ability. Your magic originates from the heart and spirit you flow into the display of your music or oration. You use your Charisma whenever a spell points to your spellcasting ability. Besides, you use your Charisma modifier when arranging the saving throw DC for a bard spell you cast and when performing an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Charisma modifier.
Spell attack modifier equals your proficiency bonus + Charisma modifier.

Cleric 5e

Wisdom is your spellcasting ability for your 5e cleric spells. The power of your strikes comes from your service to your divinity. You apply your Wisdom if a cleric spell pertains to your spellcasting ability. Besides, you use your Wisdom modifier while setting the saving throw DC for a 5e cleric spell you cast and performing an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Wisdom modifier.

Spell attack modifier equals your proficiency bonus + Wisdom modifier.

Druid 5e

Wisdom is your spellcasting ability for the 5e druid spells, considering your magic forms upon your devotion and attunement to creation. You handle your Wisdom when a spell connects to your spellcasting ability. Besides, you use your Wisdom modifier during setting the saving throw DC for a 5e druid spell you cast and when executing an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Wisdom modifier.
Spell attack modifier equals your proficiency bonus + Wisdom modifier.

Paladin 5e

Charisma is the spellcasting ability for your paladin spells since their power arises from your convictions’ strength. You may use Charisma if a spell leads to your spellcasting ability. You may also use your Charisma modifier when inserting the saving throw DC for a 5e paladin spell you cast and when performing an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Charisma modifier.
Spell attack modifier equals your proficiency bonus + Charisma modifier.

How do you calculate spell attack bonus 5e for Ranger, Sorcerer, Warlock & Wizard?

Ranger 5e

Wisdom is the usual spellcasting ability for your 5e ranger spells since your magic carries on your attunement to life. You may use your Wisdom when a spell belongs to your spellcasting ability. Besides, you apply your Wisdom modifier when arranging the saving throw DC for a 5e ranger spell you cast and when executing an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Wisdom modifier.

Spell attack modifier equals your proficiency bonus + Wisdom modifier.

Sorcerer 5e

Charisma is the spellcasting ability for your sorcerer spells as your magic power relies on your ability to project your will into the realm. You use your Charisma if a spell connects to your spellcasting ability. Besides, you utilize your Charisma modifier when setting the saving throw DC for a sorcerer spell you cast and when making an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Charisma modifier.
Spell attack modifier equals your proficiency bonus + Charisma modifier.

Warlock 5e

Charisma is the spellcasting ability for your 5e warlock spells. Therefore you may use your Charisma when a spell applies to your spellcasting ability. Besides, you use your Charisma modifier when setting the saving throw DC for a warlock spell you cast and when making an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Charisma modifier.
Spell attack modifier equals your proficiency bonus + Charisma modifier.

Wizard 5e

Intelligence is the spellcasting ability for your 5e wizard spells as you learn your spells through dedicated study and memorization. You use your Intelligence whenever a spell refers to your spellcasting ability. Also, you utilize your Intelligence modifier when placing the saving throw DC for a 5e wizard spell you cast and when creating an attack roll with one.

Spell save DC equals 8 + your proficiency bonus + Intelligence modifier.
Spell attack modifier equals your proficiency bonus + Intelligence modifier.