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This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

If you also take the War Caster feat, which would allow you tocan cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

If you also take the War Caster feat, which would allow you to cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

If you also take the War Caster feat, you can cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

4 deleted 3 characters in body
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This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

You couldIf you also take the War Caster feat, which would allow you to cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

You could also take the War Caster feat, which would allow you to cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

If you also take the War Caster feat, which would allow you to cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

3 deleted 8 characters in body
source | link

This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

You could also take the War Caster feat, which would essentially letallow you bypass this requirement andto cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

You could also take the War Caster feat, which would essentially let you bypass this requirement and cast spells even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

This is explained on page 203 of the PHB under the Components section:

Somatic (S)
Spellcasting gestures might include a forceful gesticulation or an intricate set of gestures. If a spell requires a somatic component, the caster must have free use of at least one hand to perform these gestures.

Material (M)
A spellcaster must have a hand free to access these components, but it can be the same hand that he or she uses to perform somatic components.

Any spell that has either the Somatic or Material components can be cast while holding a shield, or weapon for that matter, in one hand so long as their other hand is free from obstructions.

You could also take the War Caster feat, which would allow you to cast spells with the somatic component even if both hands are occupied by a weapon and a shield:

You can perform the somatic components of spells even when you have weapons or a shield in one or both hands. (PHB pg.170)

2 Added note about War Caster feat.
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